Paper-5 (All Variants Yearly worked Solutions) (2010-2017) Article No. 235 Author: Niaz Hussain Zafar Iqbal (Lahore Grammar School) (Beaconhouse, LGS, KIMS, Roots) Review Board: o Shehbaz Ahmad (LGS, Beaconhouse) o Umar Zaman Khattak (GACS) o Rasheed Ahmed (BDC) o M. Luqman (Aitchison College) o Hafiz Farooq (KIMS) o Shahzad Zia (GHA) o Niaz Ahmed Awan (Beaconhouse, LACAS, SICAS, KIMS) o Tanvir Gill (BDC, City School) o Mubashar Sulehri (LGS, Bloomfield Hall, Roots) o Shahzad Khokhar (BDC) All rights reserved. No part of this publication may be reproduced, stored in a retrieval system or transmitted, in any form or by any means, electronic, mechanical, photocopying, recording or otherwise, without the prior written permission of the Publisher. Title Chemistry A-Level Paper-5 Yearly Work Solutions (Article#235) Published by Read & Write Publications Printed by Read & Write Publications Composing Department Sharjeel Khan, Salman Buksh, Hayat, Shahab, Waqas, M. Awais, M. 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Tel: 051-2650895, 0300-5292272 CONTENTS 1 October/November 2017 Paper 52 -------------------------------------------------------------- 2 2 October/November 2017 Paper 51 -------------------------------------------------------------- 9 3 May/June 2017 Paper 52 -------------------------------------------------------------- 18 4 May/June 2017 Paper 51 -------------------------------------------------------------- 25 5 October/November 2016 Paper 52 -------------------------------------------------------------- 33 6 October/November 2016 Paper 51 -------------------------------------------------------------- 41 7 May/June 2016 Paper 52 -------------------------------------------------------------- 50 8 May/June 2016 Paper 51 -------------------------------------------------------------- 58 9 October/November 2015 Paper 52 -------------------------------------------------------------- 65 10 October/November 2015 Paper 53 -------------------------------------------------------------- 71 11 May/June 2015 Paper 52 -------------------------------------------------------------- 77 12 May/June 2015 Paper 51 -------------------------------------------------------------- 83 13 October/November 2014 Paper 52 -------------------------------------------------------------- 89 14 May/June 2014 Paper 52 -------------------------------------------------------------- 95 15 October/November 2013 Paper 51&52------------------------------------------------------------ 100 16 October/November 2013 Paper 53 -------------------------------------------------------------- 107 17 May/June 2013 Paper 52 -------------------------------------------------------------- 113 18 October/November 2012 Paper 52 -------------------------------------------------------------- 119 19 May/June 2012 Paper 52 -------------------------------------------------------------- 125 20 October/November 2011 Paper 52 -------------------------------------------------------------- 133 21 May/June 2011 Paper 52,51&53 -------------------------------------------------------------- 140 22 October/November 2010 Paper 52&53------------------------------------------------------------ 147 23 October/November 2010 Paper 51 -------------------------------------------------------------- 154 24 May/June 2010 Paper 52 -------------------------------------------------------------- 161 25 May/June 2010 Paper 51 -------------------------------------------------------------- 168 2 Chemistry A-Level P-5 November 2017/P52 October/November 2017 Paper 52 1. O/N 17/P52/Q1 Verdigris is a green pigment that contains both copper(II) carbonate, CuCO3, and copper(II) hydroxide, Cu(OH)2, in varying amounts. Both copper compounds react with dilute hydrochloric acid. CuCO3(s) + 2HCl(aq) CuCl2(aq) + CO2(g) + H2O(l) Cu(OH)2(s) + 2HCl(aq) CuCl2(aq) + 2H2O(l) (a) You are to plan an experiment to determine the percentage of copper(II) carbonate in a sample of verdigris. Your method should involve the reaction of verdigris with excess dilute hydrochloric acid. You are provided with the following materials. 0.5 g of verdigris 10.0 mol dm–3 hydrochloric acid, HCl(aq) commonly available laboratory reagents and equipment. You may assume that any other material present in verdigris is unaffected by heating and is not acidic or basic. (i) Explain why a titration would not be a suitable method to determine the percentage of copper(II) carbonate in a sample of verdigris [1] –3 (ii) The 10.0 mol dm HCl(aq) is corrosive and too concentrated for use in the experiment. Describe how you would accurately prepare 250cm 3 of 0.500mol dm–3 hydrochloric acid from the 10.0 mol dm –3 HCl(aq) provided. Include details of any apparatus, including their capacities in cm 3, you would use. [2] (iii) Identify a dependent variable that you could measure to determine the percentage of copper(II) carbonate in verdigris. Your answer should be based on a difference that you can identify between the reactions of copper(II) carbonate and copper(II) hydroxide with excess dilute hydrochloric acid. [1] (iv) Draw a diagram to show how you would set up apparatus and chemicals to measure the dependent variable identified in (iii). Label your diagram. [2] (v) Using the axes below, sketch a graph to show how the dependent variable you identified in (iii) would change during your experiment. Extend the graph beyond the point at which the reaction is complete. Label both axes. 0 [2] (vi) (vii) A student carries out this experiment once. Describe how this one experiment should be carried out to ensure that the results are as accurate as possible. [1] A student suspected that their 0.5 g sample of verdigris only contained CuCO 3. P-5 (Planning, Analysis and Evaluation) Yearly Worked Solutions 3 Chemistry A-Level P-5 (b) (c) November 2017/P52 Calculate the minimum volume, in cm 3, of 0.500 mol dm –3 HCl(aq) that would be needed for the complete reaction of the sample if the student was correct. [Mr: CuCO3 = 123.5] Volume of 0.500 mol dm–3 HCl(aq) = ………… cm3 [2] The following information gives some of the hazards associated with the chemicals used in the procedure. Copper(II) carbonate hydroxide The solid is classified as health hazard and is harmful if swallowed. Dispose of by reacting no more than 60 g in 1 dm 3 of warm 1 mol dm–3 ethanoic acid before pouring down a foul-water drain. Hydrochloric acid Solutions equal to or more concentrated than 6.5moldm–3 are classified as corrosive; solutions equal to or more concentrated than 2.7 mol dm–3 but less concentrated than 6.5 mol dm–3 are classified as moderate hazard and are irritant. Describe one relevant precaution, other than eye protection and a lab coat, that should be taken to keep the risk associated with the chemicals used to a minimum. Explain your answer. [1] Azurite is a blue copper-containing mineral. The copper compound in azurite has the formula Cu3(CO3)2(OH)2. This copper compound reacts with sulfuric acid according to the reaction shown. Cu3(CO3)(OH)2(s) + 3H2SO4(aq) 3CuSO4(aq) + 2CO2(g) + 4H2O(l) A student performed a series of titrations on 1.50 g samples of solid azurite using 0.400 mol dm–3 sulfuric acid. It can be assumed that any other material present in azurite does not react with sulfuric acid. The titration data is given in the table. experiment final reading / cm 3 initial reading / titre/cm3 cm 3 rough 1 2 25.50 24.05 32.70 0.00 0.15 8.30 25.50 23.90 24.40 The indicator for the titration was bromophenol blue. The student concluded that 24.15cm 3 of 0.400mol dm–3 sulfuric acid completely neutralized 1.50 g of azurite. (i) Using the student’s value of 24.15cm3, calculate the percentage by mass of Cu3(CO3)2(OH)2 in the sample of azurite. Write your answer to three significant figures. [Mr: Cu3(CO3)2(OH)2 = 344.5] percentage by mass of Cu3(CO3)2(OH)2 in the sample of azurite = ……………% [3] (ii) Identify two possible problems with the student’s titration and suggest improvements to it. Problem 1 Improvement 1 Problem 2 Improvement 2 [3] Solution: (a) (i) (ii) CuCO3 and Cu(OH)2 both react with HCl to form CuCl2, so one of these compound cannot be determined. [1] Acid provided (c1v2) = concentration to be prepared (c2v2) P-5 (Planning, Analysis and Evaluation) Yearly Worked Solutions 4 Chemistry A-Level P-5 November 2017/P52 10 × v1 = 0.5 × 250 v1 = (iii) 0.5 250 10 Take 12.5 cm3 of 10 mol dm–3 HCl, with the help of pipette or Burette add it into measuring flask, and add distilled water upto mark. [2] Carbon dioxide gas will evolved, will be dependent variable, measure the volume of gas will give the amount of CaCO3 [1] (iv) Gas Syringe Thistle Funnel Conical Flask l Verdigris [2] (v) Volume of gas 3 (cm ) 0 (vi) (vii) Sealed all the apparatus carefully in order to avoid from gas loss. mol of CuCO3 = 0.5 g/123.5 = 4.05 × 10–3 mol. CuCO3 + 2HCl CuCl2 + CO2 + H2O 1:2 mole of HCl = 2 × 4.05 × 10–3 = 8.10 × 10–3 mole Volume of HCl = (b) Time (sec) [2] [1] 8.10 103 1000 0.5 volume of 0.500 mol dm–3 HCl(aq) = 16.2 cm3 [2] 10 mol HCl is corrosive, so wear gloves also used mask in order to avoid from fumes of HCl and CuCO3 being swallowed. [1] dm–3 P-5 (Planning, Analysis and Evaluation) Yearly Worked Solutions 5 Chemistry A-Level P-5 (c) moles of H2SO4 in 24.15 cm3 (i) November 2017/P52 = 0.4 24.15 1000 = 9.66 × 10–3 mol. 9.66 103 = 3.22 × 10–3 mol. 3 moles of Cu3(CO3)2(OH)2 = mass of Cu3(CO3)2(OH)2 = 3.22 × 10–3 × 344.5 = 1.11 g. % by mass = 1.11 100 1.50 = 74.0 % percentage by mass of Cu3(CO3)2(OH)2 in the sample of azurite = 74.0 % (ii) Problem 1: Titers may not be concordant. Improvement 1: Repeat titration to get titer difference of 0.1 cm 3. Problem 2: Colour change of indicator may be marked with the colour of the titrant. Improvement 2: Student should try other indicator. 2. [3] [3] O/N 17/P52/Q2 Activated charcoal is a form of carbon with a very high surface area. It can be used to remove impurities from mixtures. It does this by a process called adsorption, where particles of the impurity bond (adsorb) to the activated charcoal surface. A student wanted to determine the ability of activated charcoal to absorb a blue dye (the impurity) from aqueous solution. The equation that links the mass of activated charcoal with the amount of blue dye adsorbed is shown. Y c m X D log A b log[ X ] m difference in concentration of dye (in g dm –3) before and after adsorption. m = mass of activated charcoal (in g) [X] = final concentration of dye (in g dm –3) after adsorption A and b are constants. The student used the following procedure to investigate the ability of activated charcoal to adsorb a blue dye from an aqueous solution. Place a 50.0 cm3 sample of a 25.00 g dm–3 solution of blue dye in a conical flask. Add a weighed mass of activated charcoal to the flask. Stir the contents of the flask for three minutes and then leave for one hour. Filter the mixture. Determine the final concentration of the blue dye, [X], by colorimetry. Repeat the procedure using different masses of activated charcoal. (a) The final concentrations of blue dye after carrying out the procedure, [X], are shown in the table. (i) Process the results to complete the table. Record your data to two decimal places. D = mass of activated charcoal, m /g Initial concentration of blue dye /g dm–3 final concentration of blue dye, [X] /g dm–3 0.20 25.00 0.25 0.30 difference in concentration of blue dye, D /g dm–3 D m D log m 0.96 120.20 2.08 25.00 0.69 97.24 1.99 25.00 0.60 81.33 1.91 P-5 (Planning, Analysis and Evaluation) Log [X] Yearly Worked Solutions 6 Chemistry A-Level P-5 November 2017/P52 0.35 25.00 0.41 70.26 1.85 0.40 25.00 0.33 61.68 1.79 0.45 25.00 0.27 54.96 1.74 0.50 25.00 0.23 49.54 1.69 0.55 25.00 0.20 45.09 1.65 0.60 25.00 0.17 41.38 1.62 (ii) [3] By considering the data in the first three columns, state the effect of increasing the mass of activated charcoal, m, on the amount of adsorption that occurs. Explain this effect. [2] Plot a graph on the grid to show the relationship between log and log [X]. m Use a cross (×) to plot each data point. Draw the straight line of best fit. D (b) 2.15 2.10 2.05 2.00 1.95 1.90 D log m 1.85 1.80 1.75 1.70 1.65 1.60 1.55 –0.90 –0.80 P-5 (Planning, Analysis and Evaluation) –0.70 –0.60 –0.50 –0.40 log [X] –0.30 –0.20 –0.10 0.00 Yearly Worked Solutions 7 Chemistry A-Level P-5 (c) (d) November 2017/P52 [2] Circle the most anomalous point on the graph. Suggest a reason why this anomaly may have occurred during the experimental procedure. [2] (i) Use the graph to determine the gradient of the best-fit line. State the co-ordinates of both points you used in your calculation. Determine the value of the constant b. co-ordinates 1 co-ordinates 2 gradient = …………..…………. b = …………………. [2] (ii) Use the graph to determine a value for A. A = …………………………. [1] Solution: (a) (i) mass of activated charcoal, m/g Initial concentration of blue dye/ g dm–3 final concentration of blue dye, [X]/g dm–3 difference in concentration of blue dye, D /g dm–3 D m D log m Log [X] 0.20 25.00 0.96 24.04 120.20 2.08 –0.02 0.25 25.00 0.69 24.31 97.24 1.99 –0.16 0.30 25.00 0.60 24.40 81.33 1.91 –0.22 0.35 25.00 0.41 24.59 70.26 1.85 –0.39 0.40 25.00 0.33 24.67 61.68 1.79 –0.48 0.45 25.00 0.27 24.73 54.96 1.74 –0.57 0.50 25.00 0.23 24.77 49.54 1.69 –0.64 0.55 25.00 0.20 24.80 45.09 1.65 –0.70 0.60 25.00 0.17 24.83 41.38 1.62 –0.77 (ii) [3] Greater the mass of activated charcoal, greater would be the adsorption. It will provide greater surface area for adsorption, so greater amount will be adsorbed. [2] (b) P-5 (Planning, Analysis and Evaluation) Yearly Worked Solutions 8 Chemistry A-Level P-5 November 2017/P52 2.15 2.10 2.05 2.00 1.95 1.90 log D m 1.85 1.80 1.75 1.70 1.65 1.60 1.55 –0.90 (c) (d) –0.80 –0.70 –0.60 –0.50 –0.40 log [X] –0.30 –0.20 –0.10 0.00 [2] At (–0.22, 1.91), this is due to, less mass of activated charcoal taken, or less surface are so less adsorption. [2] (i) Co-ordinate 1 (1.69, 2.08) Co-ordinates 2 (–0.02, –0.64) m y 2 y1 2.08 1.69 x2 x1 0.02 ( 0.64) = 0.629 (ii) P-5 (Planning, Analysis and Evaluation) gradient = 0.629 b = 0.629 [2] A = 2.09 [1] Yearly Worked Solutions 9 Chemistry A-Level P-5 November 2017/P51 October/November 2017 Paper 51 1. O/N 17/P51/Q1 Iodide ions, I–, and persulfate ions, S2O8–2, react according to the following equation. 2I–(aq) + S2O8 –2(aq) I2(aq) + 2SO4 2–(aq) The rate of reaction between these ions can be determined from the time it takes for a certain amount of iodine, I2(aq), to be produced. A mixture of solutions is prepared, containing known volumes of ○ aqueous ammonium persulfate, (NH4)2S2O8(aq), ○ aqueous sodium thiosulfate, Na2S2O3(aq), ○ starch indicator. A known volume of aqueous potassium iodide, KI(aq), is added to this mixture and a timer is started. After the reactants are mixed, they react slowly to produce iodine, I2(aq). Any iodine initially produced is removed by a reaction with thiosulfate ions. I2(aq) + 2S2O32–(aq) 2I–(aq) + S4O62–(aq) Iodine, I2(aq), is continuously removed until all of the thiosulfate ions have been used up. After that time any I2(aq) that is produced turns the starch indicator blue. The time of the first appearance of the blue colour is recorded. This procedure is repeated with different volumes of reactants, keeping the total volume of the reaction mixture constant by adding the required volume of distilled water. You are to plan a series of experiments to determine the effect of changing the concentration of iodide ions on the rate of reaction. You are provided with the following materials. Solid ammonium persulfate, (NH4)2S2O8(s) 0.20 mol dm–3 aqueous KI, a source of I–(aq) 0.0050 mol dm–3 aqueous Na2S2O3, a source of S2O32–(aq) Starch indicator (a) Calculate the mass of (NH4)2S2O8(s) that would be required to prepare 250 cm 3 of a standard solution of concentration 1.00 mol dm–3. [Ar, values: N, 14.0; H, 1.0; S, 32.1; O. 16.0] mass of (NH4)2S2O8(s) = ……………. g [1] Describe how, after weighing the mass calculated in (i), you would prepare this standard solution for use in your experiment. Give the name and capacity, in cm3, of any apparatus used. [1] Explain how the use of starch solution improves the accuracy of the experiment. [1] (i) (ii) (iii) (b) A student planned five experiments to investigate the effect of iodide concentration, [I–], on the rate of reaction. The table shows the volumes used in experiment 1. Complete the table for experiment 2 to 5. experiment volume of 1.00 mol dm–3 (NH4)2S2O8(aq) /cm3 volume of 0.20 mol dm–3 KI(aq) /cm3 volume of water /cm3 volume of 0.0050 mol dm–3 Na2S2O3(aq) /cm3 volume of starch solution /cm3 1 25.0 10.0 0.0 5.0 1.0 2 5.0 1.0 3 5.0 1.0 P-5 (Planning, Analysis and Evaluation) Yearly Worked Solution 10 Chemistry A-Level P-5 (c) (d) (e) November 2017/P51 4 5.0 1.0 5 5.0 1.0 [3] In a different experiment, a student mixed the following solutions and measured the time taken for the reaction. 10.0 cm3 of 1.00 mol dm–3 (NH4)2S2O8(aq) 5.0 cm3 of 0.0050 mol dm–3 (Na2S2O3(aq) 5.0 cm3 of 0.20 mol dm–3 KI(aq) 1.0 cm3 of starch indicator (i) The time taken for the blue colour to appear was 134 seconds (to the nearest second). Calculate the rate of production of moles of I2, in mold m–3 s–1. rate of production of moles of I2 = ………………… mold dm–3 s–1 [3] (ii) What should the student have done to make sure that the results were reliable? [1] (iii) The 5.0 cm3 of 0.0050 mol dm –3 Na2S2O3(aq) was measured using a 50cm 3 burette which had graduations every 0.1 cm 3. Calculate the maximum percentage error in the measured volume of this solution. percentage error = ……………….% [1] A second student tried to perform the same experiment but found that the reaction mixture turned blue immediately after KI(aq) was added. State what error the student had made. [1] The following information gives some of the hazards associated with the chemicals used in the procedure. Ammonium persulfate Solid is oxidizing and hazardous to the environment. Contact with combustible material may cause fire. It is classified as health hazard, is harmful if swallowed and is irritating to eyes, respiratory system and skin. Solution equal to or more concentrated then 0.2 mol dm – 3 should be labelled health hazard and hazardous to the environment. Solutions equal to or more concentrated than 0.05 mol dm –3 but less concentrated than 0.2 mol dm–3 should be labelled health hazard. Potassium iodide All solutions are low hazards. Sodium thiosulfate All solutions are low hazards. Describe one relevant precaution, other than eye protection and a lab coat that should be taken to keep the risk associated with the chemicals used to a minimum. Explain your answer. [1] Solution: (a) (i) n= mass 250 × Mr 1000 mass = (ii) (iii) 1 228.5 250 1000 mass of (NH4)2S2O4(s) = 57.12 g [1] Dissolve all Na2S2O3 in 100 cm3 distilled water in a beaker. Now add this solution in measuring flask and add distilled water in it to make the volume upto mark. Shake the solution to homogenise the solution. [2] Starch solution give the sharp and point of reaction. [1] P-5 (Planning, Analysis and Evaluation) Yearly Worked Solution 11 Chemistry A-Level P-5 November 2017/P51 (b) experiment volume of 1.00 mol dm–3 (NH4)2S2O8(aq) /cm3 volume of 0.20 mol dm–3 KI(aq) /cm3 volume of water /cm3 volume of 0.0050 mol dm–3 Na2S2O3(aq) /cm3 volume of starch solution /cm3 1 25.0 10.0 0.0 5.0 1.0 2 25.0 8.0 2.0 5.0 1.0 3 25.0 6.0 4.0 5.0 1.0 4 25.0 4.0 6.0 5.0 1.0 5 25.0 2.0 8.0 5.0 1.0 [3] (c) (i) moles of S2S3–2 = 0.005 5 1000 = 2.5 × 10–5 mole moles of I2 = 2.5 105 1.25 105 mol 2 concentration of I2 = 1.5 105 1000 21 = 5.94 × 10–4 mol dm3 Rate (ii) (iii) = 5.94 104 134 rate of production of moles of I2 = 4.44 × 10–6 mol dm–3 s–1 Repeal experiments to get average. [3] [1] 2 0.05 100 5 percentage error = 2 % (d) (e) [1] Thiosulphate not added yet. [1] Wear glove (skin irritant, wear face mask, so not be swallowed, keep combustible materials away. [1] O/N 17/P51/Q2 2. Dilute sulfuric acid, H2SO4(aq), can be electrolyzed using platinum electrodes and a direct current. Hydrogen gas is produced at the cathode and oxygen gas is produced at the anode. The two gases are collected separately in burettes filled with dilute sulfuric acid placed over each electrode. P-5 (Planning, Analysis and Evaluation) Yearly Worked Solution 12 Chemistry A-Level P-5 November 2017/P51 reaction at electrode in burette 1: 2H+(aq) + 2e– H2(g) reaction at electrode in burette 2: H2O(l) 1 O2(g) + 2H+(aq) + 2e– 2 The production of hydrogen gas over time can be measured, and the data used to determine the charge of one mole of electrons, known as the Faraday constant, F. (a) The volumes of hydrogen gas produced during the electrolysis process are recorded in the table. Process the results to calculate the volume of hydrogen gas produced, in cm 3, and the charge passed, in coulombs, C. charge (C) = current (A) × time (s) The current was kept constant at 0.80 A. (b) time/s reading on burette 1/cm3 volume of hydrogen gas produced / cm3 0 46.20 0.00 50 41.20 100 36.20 150 31.45 200 25.80 250 20.80 300 16.40 350 11.45 400 6.80 450 1.50 charge passed / C [2] Plot a graph on the grid to show the relationship between volume of hydrogen gas produced and charge passed. Use a cross (×) to plot each data point. Draw the straight line of best fit. P-5 (Planning, Analysis and Evaluation) Yearly Worked Solution 13 Chemistry A-Level P-5 November 2017/P51 (c) Do you think the results obtained (a) are reliable? Explain your answer. (d) (i) (ii) (iii) [2] [1] The gradient of the line of best fit gives the volume of hydrogen gas produced per coulomb. Use the graph to determine the gradient of the line of best fit. State the co-ordinates of both points you used in your calculation. co-ordinates 1 …………… co-ordinates 2: ………………… gradient = ……………… cm 3 C–1 [2] Calculate the number of moles of hydrogen gas produced per coulomb. If you were unable to obtain an answer for (d)(i), you may use the value 0.148 cm2 C–1, but this is not the correct answer. [The molar volume of gas = 24.0 dm3 at room temperature and pressure.] ……………mol C–1 [1] Use your answer to (ii) and the half-equation for the production of H2(g) to calculate a numerical value for the Faraday constant (the charge of 1 mole of electrons). 2H+(aq) + 2e– H2(g) ……………. C mol–1 [1] P-5 (Planning, Analysis and Evaluation) Yearly Worked Solution 14 Chemistry A-Level P-5 (e) (i) (ii) (f) November 2017/P51 The graph below shows the relationship between volume H 2(g) produced at the cathode and time, in a similar experiment. Draw a line on the graph to show the relationship between volume of O 2(g) produced at the anode and time in this experiment. [1] Suggest why the volume of O2(g) measured in this experiment might be less than that shown by your drawn line. Assume that no gas is lost from leaks. [1] In these experiments, the pressure of the gas inside the burette is assumed to be atmospheric pressure, Patm. However, the pressure of water vapour and the mass of the solution in the burette change the pressure of the gas to Pnew . The expression below shows the relationship between Pnew and Patm. Pnew = Patm – 2.81 – (9.81 × height of solution in burette) (i) Use the expression to sketch a graph on the axes below to show the relationship between Pnew and the height of solution in the burette. [1] Show how Pnew changes the value of the Faraday constant calculated at Pnew in (d) (iii). Explain your answer. [1] A student’s teacher suggested it would be cheaper to use copper rather than platinum electrodes in the electrolysis of dilute sulfuric acid. (ii) (g) half-equation E o /V 2H+(aq) + 2e– H2(g) 0.00 Cu2+(aq) + 2e– Cu(s) +0.34 1 O2(g) + 2H+(aq) + 2e– H2O(l) 2 +1.23 P-5 (Planning, Analysis and Evaluation) Yearly Worked Solution 15 Chemistry A-Level P-5 November 2017/P51 Using the information in the table, suggest what effect, if any, the use of copper electrodes would have on the volume of gas produced at each electrode. Explain your answer. cathode: anode [3] Solution: (a) time/s reading on burette 1/cm3 volume of hydrogen gas produced / cm3 charge passed / C 0 46.20 0.00 0 50 41.20 5.00 40 100 36.20 10.00 80 150 31.45 14.75 120 200 25.80 20.40 160 250 20.80 25.40 200 300 16.40 29.80 240 350 11.45 34.75 280 400 6.80 39.40 320 450 1.50 44.70 360 [2] P-5 (Planning, Analysis and Evaluation) Yearly Worked Solution 16 Chemistry A-Level P-5 November 2017/P51 (b) 44.00 40.00 36.00 2 y volume of hydrogen gas produced / cm3 32.00 28.00 24.00 20.00 16.00 12.00 y1 8.00 4.00 0.00 0 (c) (d) 40 80 X1 120 160 200 charge passed / C 240 280 X2 y 2 y1 x2 x2 35.4 10 280 80 co-ordinates 2 (x1 , x2) (280, 35) gradient = 0.127 cm3 C-1 [2] 5.2 × 10–6 mol C–1 [1] (ii) (iii) 360 [2] [1] Yes, as all the points lies very close to the line of best fit. (i) co-ordinates 1 (y1 , y2) (80, 10) 320 = 1 gradient × 2 = 1 5.2 106 2 96.153 C mol–1 [1] P-5 (Planning, Analysis and Evaluation) Yearly Worked Solution 17 Chemistry A-Level P-5 (e) November 2017/P51 (i) 20.0 H2(g) 16.0 volume of 12.0 gas produced 8.0 / cm3 4.0 0.0 0 50 100 150 200 250 300 time /s (ii) Some oxygen may be soluble in water. [1] [1] Pnew (f) (ii) (g) height of solution (i) [1] Pressure decrease as volume become larger and Faraday constant will be lower than calculated. [1] cathode: As E o value of copper is larger and do not get reduce, in comparison with H+. anode: If copper anod is used, so it began to dissolve. [3] P-5 (Planning, Analysis and Evaluation) Yearly Worked Solution 18 Chemistry A-Level P-5 June 2017/P52 May/June 2017 Paper 52 1. M/J 17/P52/Q1 In 1804 the chemist John Dalton put forward the following idea. It is sometimes called “Dalton’s Law’. ‘When two elements combine with each other to form more than one compound, the ratios of the masses of one element that combine with a fixed mass of the other element are simple whole numbers.’ A student used the apparatus shown to find out if Dalton’s Law is true for three oxides of lead. Methane gas reduced the heated lead oxides to lead. porcelain boat containing lead oxide A porcelain boat containing lead oxide B porcelain boat containing lead oxide C excess methane burning methane gas heat heat heat Lead and oxides of lead are harmful by inhalation and if swallowed. They are very toxic to aquatic organisms and may cause long-term damage in the aquatic environment. (a) (b) State two hazards associated with experimenting with lead oxides. For each hazard, state a precaution (other than eye protection) that the student could take to make sure that the experiment is carried out safely. hazard 1 precaution hazard 2 precaution [2] The student used the following procedure for the experiment. Three clean, dry porcelain boats were weighed when empty. Each boat was filled with a different lead oxide, labelled A, B or C and reweighed. The boats were placed in the apparatus and methane gas passed through. All three samples were heated strongly until they were reduced to lead. The boats were allowed to cool completely with the methane gas still passing over them before they were re-weighed. The results are shown in the table. lead oxide Mass of porcelain boat /g Mass of boat + lead oxide /g Mass of boat + lead after heating /g A 5.26 9.31 9.04 B 5.12 8.96 8.48 C 5.23 10.52 10.06 Mass of lead/g Mass of oxygen /g Mass of lead that was combined with 1.0g oxygen in the lead oxide /g Complete the table. Record the mass of lead that was combined with 1.0 g of oxygen in the lead oxide to one decimal place. Use the space below for any necessary calculations. [2] P-5 (Planning, Analysis and Evaluation) Yearly Worked Solutions 19 Chemistry A-Level P-5 (c) (i) June 2017/P52 Use the values of mass of lead that was combined with 1.0 g oxygen in the lead oxide to calculate the ratio of mass of lead in each compound. mass of lead in A : mass of lead in B : mass of lead in C …………………… ……………………. ………………….. [1] (ii) If Dalton’s Law is true there should be a simple whole number ratio of the masses of lead in each compound combined with a fixed mass of oxygen. Use your answer to (i) to state and explain whether the student’s experimental results support Dalton’s Law. [1] In this experiment, identify the independent variable. the dependent variable [2] (i) Another sample of lead oxide B was found to contain 3.067 g lead and 0.474 g oxygen. Calculate the empirical formula of B. Show your working. [Ar: Pb, 207.2; O, 16.0] Empirical formula of B =……………. [1] (ii) What additional piece of information is required to calculate the molecular formula of B? [1] Before the porcelain boats containing the lead were weighed, they were allowed to cool completely with the methane gas still passing over them. Apart from the hazards associated with handling hot apparatus, explain why this procedure is essential to ensure that the results are reliable. [1] The student thought that not all of the lead oxide C had been reduced. What should the student do to make sure all the lead oxide C had been reduced? [1] (d) (e) (f) (g) Solution: (a) hazard 1: precaution: hazard 2: precaution: Lead compounds are toxic for aquatic life. Do not dispose of lead and lead compounds in water. Harmful vapours for inhalation. Carry out heating in fume cupboard or well ventilated room. [2] (b) lead oxide Mass of porcelain boat /g Mass of boat + lead oxide /g Mass of boat + lead after heating /g Mass of lead/g Mass of oxygen /g Mass of lead that was combined with 1.0g oxygen in the lead oxide /g A 5.26 9.31 9.04 3.78 0.27 14 B 5.12 8.96 8.48 3.36 0.48 7 C 5.23 10.52 10.06 4.83 0.46 10.5 [2] (c) (i) mass of lead in A: mass of lead in B: mass of lead in C 14 ……………….. 7 …………….. 10.5 ………….. [1] (ii) 14 7 10.5 : : 7 7 7 2 : 1 : 1.5 4:2:3 P-5 (Planning, Analysis and Evaluation) All are in simple whole number ratio [1] Yearly Worked Solutions 20 Chemistry A-Level P-5 (d) (e) Different lead oxide. Mass of Lead combine with 1 g of oxygen. (i) (ii) (f) (g) 2. June 2017/P52 3.067 (Pb) 0.0148 1 : 2 Molecular mass. [2] : 0.474 (O2) : 0.0296 empirical formula of B = PbO2 [1] [1] In order to prevent the re-oxidation. [1] Again heat the lead oxide and re-weight sample, until no further loss of mass is noticed. [1] M/J 17/P52/Q2 When light passes through solutions of chemical compounds some of the light may be absorbed. The quantity of light absorbed is called the absorbance and it is measured by a spectrophotometer. A simplified diagram of a spectrophotometer is shown. A glass cuvette is a rectangular vessel. sample of solution light detecto r light of one wavelength glass cuvette (a) (i) A chemist placed distilled water in the glass cuvette. This was then put into the spectrophotometer and a reading taken. Explain why this reading was taken. [1] (ii) Light passes through opposite sides of the cuvette. These two sides must be wiped with a cloth to ensure they are clean and dry. Explain why this procedure makes the readings more accurate. [1] Manganese is added to steel to increase its strength. A spectrophotometer can be used to analyses the manganese content of steel. This is done by comparing the absorbance of a solution of MnO4–(aq) prepared from a sample of steel, with the absorbance of solutions of known concentrations of MnO4–(aq). (b) 1.0 dm3 of a standard solution of 0.0300 mol dm –3 MNO4–was prepared by a chemist using solid potassium manganite (VII), KMnO4, measured using a two decimal place balance. (i) Calculate the mass of KMnO4 required to prepare this standard solution. [Ar: K, 39.1; Mn, 54.9; O, 16.0] mass of KMnO4 = ………….. g [1] (ii) Describe how the chemist should accurately prepare this standard solution using a sample of KMnO4 of mass calculated in (i). There is a 1.0 dm 3 volumetric flask available. [2] –4 –3 (iii) The chemist distilled this standard solution 3.0 × 10 mol dm for use in the experiments. Explain why the chemist did not prepare a solution of this concentration directly, by dissolving the required mass of KMnO 4 in 1.0 dm3 of water. [1] (c) The chemist needed to determine which wavelength of light was most absorbed by a solution of MnO4–(aq). The clean, dry cuvette was filled with 3.0 × 10–4 MnO4– and different wavelengths of light were passed through the solution. A graph of the results was plotted. P-5 (Planning, Analysis and Evaluation) Yearly Worked Solutions 21 Chemistry A-Level P-5 June 2017/P52 0.760 0.750 0.740 0.730 0.720 0.710 absorbance 0.700 0.690 0.680 0.670 0.660 0.650 0.640 0.630 0.620 0.610 0.600 510 515 520 525 530 535 540 545 550 wavelength / nm (d) Use the graph to estimate the wavelength of light that is most absorbed by the MnO4– solution. Wavelength of light most absorbed = ………….. nm [1] The spectrophotometer was then set to the wavelength that is most absorbed by the MnO4–(aq) solution. The chemist measured the absorbance of solutions of known concentrations of MnO4– (aq). The results are shown in the table. (i) concentration of MnO4–(aq) / mol dm–3 absorbance 3.00 × 10–4 0.748 2.70 × 10–4 0.680 2.40 × 10–4 0.610 2.10 × 10–4 0.530 1.80 × 10–4 0.440 1.50 × 10–4 0.378 1.20 × 10–4 0.315 0.90 × 10–4 0.230 0.60 × 10–4 0.150 Plot a graph on the grid to show the relationship between the absorbance and the concentration of MnO4–(aq). Use a cross (×) to plot each data point. Draw a line of best fit. [2] P-5 (Planning, Analysis and Evaluation) Yearly Worked Solutions 22 Chemistry A-Level P-5 June 2017/P52 0.800 0.700 0.600 0.500 absorbance 0.400 0.300 0.200 0.100 0.000 0.00 0.50 × 10–4 1.00 × 10–4 1.50 × 10–4 2.00 × 10–4 2.50 × 10–4 3.00 × 10–4 3.50 × 10–4 concentration of MnO 4–(aq) / mol dm –3 (ii) (iii) (e) (f) State the relationship between absorbance and concentration of MnO4–(aq). Explain your answer with reference to particles. [2] Do you consider the results obtained to be reliable? Explain your answer. [1] The chemist used the MnO4–(aq) solution of concentration 3.00 × 10–4 mol dm– 3 to prepare the solutions in the table on page 10. Calculate the volume of 3.00 × 10–4 mol dm–3 MnO4–(aq) solution and the volume of distilled water required to prepare a 25.00 cm3 solution of 2.70 × 10– 4 mol dm –3 MnO –(aq). 4 Give your answers to two decimal places. Volume of 3.00 × 10–4 mol dm–3 MnO4–(aq) solution = …….. cm3 Volume of distilled water = ………. cm 3 [1] (ii) The volumes of the two solutions given in (e)(i) could be measured using the same type of apparatus. Name a suitable piece of apparatus which could be used to measure these volumes. [1] The chemist dissolved a known mass of steel, containing manganese, in acid. The manganese was then oxidized to manganite (VII) ions, MnO4–, using a very strong oxidizing agent. The resulting solution was made up to 100.0 cm 3 in a volumetric flask. A small sample of the solution of MnO4–(aq) prepared from the steel sample was placed into a clean, dry cuvette and its absorbance measured using the spectrophotometer. (i) The absorbance of the MnO4–(aq) solution was 0.630. Use the graph you have drawn in (d) (i) to determine the concentration of MnO4–(aq) in this solution. Give your answer to three significant figures. concentration of MnO4–(aq) = …………. mol dm–3 [1] (i) P-5 (Planning, Analysis and Evaluation) Yearly Worked Solutions 23 Chemistry A-Level P-5 June 2017/P52 (ii) (g) (h) Calculate the mass of manganese present in the steel sample. Show your working [Ar: Mn, 54.9] Mass of manganese = …………… g [1] The steel sample that the chemist used had a mass of 1.209 g. Use the mass of manganese you calculated in (f)(ii) to calculate the percentage of manganese by mass that was present in the steel sample. (if you were unable to calculate an answer to (f)(ii) you may use 0.00143 g as the mass of manganese. This is not the correct answer. Percentage of manganese in the steel sample = …………………. % [1] Another way of analyzing the manganese content of the steel sample is by titration. The steel sample is prepared in the same way as previously. It is dissolved in acid and then oxidized using a very strong oxidizing agent. The MnO 4–(aq) ions produced are titrated with a solution of iron(II) ions. The equation for this reaction is shown. MnO4- (aq) + 8H +(aq) + 5Fe2+ (aq) Mn2+ (aq) + 5Fe3+ (aq) + 4H2O(I) Explain why it is essential to remove the strong oxidizing agent used to prepare the solution of steel sample before carrying out the titration. [1] Solution: (a) (b) (c) (d) (i) (ii) (i) Distilled water used to calibrate the spectrophotometer. [1] The water along with dirt on sides may absorb same light. [1] Mass = c × v × Mr = 0.03 × 1 × 158 = 4.74 Mass of KMnO4 = 4.74 g [1] 3 (ii) Dissolve 4.74 gram of KMnO4 in 200 cm distilled in a beaker. Now add this solution into 1 dm3 measuring flask. Now add distilled in it with the help of same beaker, upto the mark. [2] (iii) This concentration required very less mass of KMnO 4, which cannot be weigh accurately. [1] wavelength of light must absorbed = 529 nm [1] (i) P-5 (Planning, Analysis and Evaluation) Yearly Worked Solutions 24 Chemistry A-Level P-5 June 2017/P52 0.800 0.700 0.600 0.500 absorbance 0.400 0.300 0.200 0.100 0.000 0.50× 10 –4 1.00 × 10 –4 1.50 × 10 –4 2.00× 10 –4 2.50 × 10 –4 3.00× 10 –4 3.50 × 10–4 0.00 concentration of MnO 4–(aq) / mol dm–3 (ii) [2] The concentration of MnO4–2(aq) is directly proportional to absorbance i.e. more ions more will be absorbance. [2] Yes. All the points lies very close to each other. [1] C1 V1 = C2 V2 3 ×10–4 × V1 = 25 × 2.70 × 10–4 volume of 3.00 × 10–4 mol dm–3 MnO4–(aq) solution = 22.5 cm 3 volume of distilled water = 2.5 cm 3 [1] Burette [1] (i) concentration of MnO4–(aq) = 2.55 × 10–4 mol dm–3 (ii) (e) (f) (iii) (i) 2.50 104 54.9 (ii) [1] 100 1000 mass of manganese = 1.37 × 10–3 g [1] (g) (h) 1.37 10 1.209 3 100 percentage of manganese in the steel sample = 0.113 % [1] Excess strong oxidizing agent may oxidize the Fe 2+ to Fe3+. [1] P-5 (Planning, Analysis and Evaluation) Yearly Worked Solutions 25 Chemistry A-Level P-5 June 17/P-51 May/June 2017 Paper 51 1. M/J 17/P51/Q1 The pain of muscle strains and swellings can be eased by using heat packs. As a source of heat, some heat packs use the energy released when anhydrous calcium chloride dissolves in water. water CaCl2 (s) Ca2+ (aq)+ 2Cl- (aq) A heat pack consists of a bag of water, inside which a smaller bag contains anhydrous calcium chloride. When pressure is applied to the heat pack, the smaller bag bursts releasing the anhydrous calcium chloride into the water. The heat pack is shaken to speed up dissolving. Energy is released which warms the heat pack. A student carried out an experiment to determine the enthalpy change when anhydrous calcium chloride dissolves in distilled water. The results the student obtained are plotted on the graph on next page. (a) By considering the graph of results, draw a labelled diagram of the experimental setup that the student could have used to produce the graph shown. Label the apparatus and chemicals required to measure the two variables. [2] 40 38 36 34 32 temperature /°C 30 28 26 24 22 20 0.0 1.0 2.0 3.0 4.0 5.0 6.0 7.0 8.0 9.0 10.0 time / minutes P-5 (Planning, Analysis and Evaluation) Yearly Worked Solutions Chemistry A-Level P-5 (b) (c) (d) (e) (f) (g) (h) (i) 26 June 17/P-51 Explain why the student took readings between 0.0 minutes and 2.5 minutes. [1] Explain why the student did not take a reading at 3.0 minutes. [1] Explain why the temperature continued to increase between 3.5 minutes and 4.5 minutes. [1] Draw two straight lines of best fit on the grid. Extrapolate these lines to estimate the theoretical temperature rise at 3.0 minutes. Give your answer to one decimal place. theoretical temperature rise at 3.0 minutes = …………….. °C [2] One of the results is anomalous. This occurred because the student took the thermometer out of the solution and then replaced it just before the reading was taken. The time at which the anomalous reading was taken was ……….. minutes. Explain why these actions led to the anomalous point. [1] Explain why stirring the mixture would make this experiment more reliable. [1] Anhydrous calcium chloride is classified as a moderate health hazard. It is an irritant. Apart from wearing eye protection, state one other relevant safety precaution the student should have taken. [1] The student found the value for the enthalpy change of solution of anhydrous calcium chloride to be –82.5 kJ mol–1. A manufacturer produces a heat pack that contains 75.0 g of water. Calculate the mass of anhydrous calcium chloride the manufacturer must use in the inner bag to produce a rise in temperature of 30.0°C. The specific heat capacity of water, c = 4.18 J g–1 K–1. [Ar: Ca, 40.1, Cl, 35.5] mass of anhydrous CaCl2 = ………… g [2] Solution: (a) Stopwatch Time P-5 (Planning, Analysis and Evaluation) Temprature Yearly Worked Solutions 27 Chemistry A-Level P-5 3 June 17/P-51 40 o 8 .7 C 38 36 34 32 temperature /C 30 28 26 24 22 o 5C 20.1 20 0.0 1.0 2.0 3.0 4.0 5.0 6.0 7.0 8.0 9.0 10.0 time / minutes (b) (c) (d) (e) (f) (g) (h) (i) It ensure the constant temperature during this time at room temperature. At this time calcium chloride is added. Calcium chloride is continue to dissolve in this time. theoretical temperature rise at 3.0 minutes = 38.06°C The time at which the anomalous reading was taken was 8.5 minutes. The temperature was noted earlier or. Stirring it will heat the solution uniformly. Wears gloves or wear mask. q= [2] [1] [1] [1] [2] [1] [1] [1] 75 × 4.8 × 30 = 9.405 kg 1000 = 9.405 111.1 82.5 mass of anhydrous CaCl2 = 12.7 g [2] P-5 (Planning, Analysis and Evaluation) Yearly Worked Solutions 28 Chemistry A-Level P-5 2. June 17/P-51 M/J 17/P51/Q2 Sucrose is a sugar. The concentration of a solution of sucrose can be measured by the optical rotation, , of a sucrose solution. The more concentrated the solution, the greater the optical rotation of the solution. A polarimeter is used to measure optical rotation. Light is passed through a sample of the sucrose solution in a glass cell, and the observed angle of rotation, obs, is measured. A simplified diagram of a polarimeter is shown. eyepiece eye of observer light glass cell rotated light If a glass cell of length 10 cm is filled with a solution of sucrose of concentration 1 g cm –3 the measured angle of rotation is known as the specific rotation, []. The observed angle of rotation obs, measured by the polarimeter is related mathematically to the concentration of the sucrose solution by the equation shown. obs = [] c obs is the observed angle of rotation using a 10 cm cell. [] is the specific rotation of sucrose solution. c is the concentration of sucrose in g cm –3 A student wanted to determine the specific rotation of sucrose, []. Solutions of different concentrations of sucrose at 20°C were placed in a polarimeter and the observed angle of rotation, obs, recorded. The ‘+’ sign is used to show that the rotation is in a clockwise direction. (a) (i) (ii) (iii) Concentration of sucrose, c /g cm–3 Observed angle of rotation obs 0.0750 +5.05 0.0700 +4.70 0.0650 +4.40 0.0600 +4.00 0.0500 +3.30 0.0450 +2.55 0.0350 +2.30 0.0300 +1.95 0.0250 +1.68 0.0200 +1.40 Plot a graph on the grid on next page to show the relationship between concentration of sucrose, c, and observed angle of rotation obs. Use a cross (×) to plot each data point. Draw a line of bests fit. [2] Circle the most anomalous point on your graph. [1] Use the graph to determine the specific rotation, [], of sucrose. Give this value to two decimal places. State the co-ordinates of both points you used in your calculation. co-ordinates 1 …………………… co-ordinates 2 ……………………… specific rotation of sucrose, [] = ……….. [2] P-5 (Planning, Analysis and Evaluation) Yearly Worked Solutions 29 Chemistry A-Level P-5 June 17/P-51 5.5 5.0 4.5 4.0 3.5 3.0 α obs 2.5 2.0 1.5 1.0 0.5 0.0 0.000 0.0100 0.0200 0.0300 0.0400 0.0500 0.0600 0.0700 0.0800 c / g cm–3 (b) (c) You are asked to write instructions for another student to follow so they can prepare a standard solution of 250 cm3 0.0750 g cm–3 sucrose. The student is provided with solid sucrose and a 250 cm 3 volumetric flask. (i) Calculate the mass, in g, of sucrose the student would need to use. mass of sucrose = …………… g [1] (ii) Describe how the student should accurately prepare the standard solution using a sample of sucrose of mass calculated in (i). [2] (i) The student used the standard solution prepared in (b) to prepare the solutions in the table on the next page. Calculate the volume of standard solution of concentration 0.0750 g cm –3 and the volume of distilled water needed to prepare 15.00 cm 3 of sucrose solution of concentration 0.0350 g cm –3. Give your answers to two decimal places. volume of standard solution = ……………. cm 3 P-5 (Planning, Analysis and Evaluation) Yearly Worked Solutions Chemistry A-Level P-5 (d) (e) (f) (g) 30 June 17/P-51 volume of distilled water = ………… cm 3 [1] The volumes of the two solutions given in (c)(i) could be measured using the same type of apparatus. (ii) Name a suitable piece of apparatus which could be used to measure these volumes. [1] (iii) In (a)(ii) you circled an anomalous point. This was caused by the student incorrectly making one of the sucrose solutions. Suggest the error made by the student that caused this anomaly. [1] The student recorded the observed angle of rotation, obs, for a sucrose solution of unknown concentration as +3.75. Determine the concentration of this sucrose solution in mol dm–3. [Mr, sucrose: 342] concentration of sucrose = ……………. mol dm –3 [3] The glass cell of 10 cm length is expensive, so one cell is used for all the solutions that are placed in the polarimeter. Suggest how you would ensure that the concentration of solution in the cell is accurate each time the cell is used for the different sucrose solutions. [1] Concentration of sucrose is the independent variable in this polarimeter experiment. The glass cell of 10 cm length is replaced by a glass cell of 20 cm length. The 20 cm glass cell is filled with 0.0750 g cm –3 sucrose solution. Predict the value for the observed angle of rotation obs, for the sucrose solution of concentration 0.0750 g cm–3 when the 20 cm cell is used. Explain your answer. predicted value = explanation [2] Before the angles of rotation of the sucrose solutions are measured, the glass cell is first filled with distilled water and the angle of rotation measured. Explain why this measurement is taken. [1] Solutions (a) (i) (ii) P-5 (Planning, Analysis and Evaluation) [2] [1] Yearly Worked Solutions 31 Chemistry A-Level P-5 June 17/P-51 5.5 5.0 4.5 4.0 3.5 3.0 α obs 2.5 2.0 1.5 1.0 0.5 0.0 0.000 0.0100 0.0200 0.0300 0.0400 c /g cm (b) (iii) co-ordinates 1 (i) = 250 × 0.075 (ii) (c) (i) (ii) (iii) (4.00) 0.0500 0.0600 0.0700 0.0800 –3 co-ordinates 2 (0059,0) specific rotation of sucrose, [] = 67.66 [2] mass of sucrose = 18.75 g [1] Dissolve 18.75 g of sucrose in 100 cm 3 distilled water. Now add this solution is the measuring flask of 250 cm 3. Now add the distilled water in the measuring flask to make up the volume up to mask. [2] c1 v1 = c2 v2 0.0750 × 15 = 0.350 × v2 volume of standard solution = 7 cm 3 volume of distilled water = 8 cm 3 [1] Pipette or burette [1] Solution is more diluted that expected value or Value of obs is take an early. [1] P-5 (Planning, Analysis and Evaluation) Yearly Worked Solutions 32 Chemistry A-Level P-5 (d) At 3.75 is 0.056 g/cm 3 Concentration is 0.056 × 1000 = 56 g dm–3 = (e) (f) (g) June 17/P-51 56 342 concentration of sucrose = 0.164 mol dm –3 [3] Wash the cell with solution to ensure the concentration. [1] predicted value = 5.05 × 2 = 10.10 Explanation: The plane of polarized light passed or encounter with double molecules. [2] This blank measurement is taken to caliberate the polarimeter to 0 degree [1] P-5 (Planning, Analysis and Evaluation) Yearly Worked Solutions 33 Chemistry A-Level P-5 November 2016/P52 October/November 2016 Paper 52 1. O/N 16/P52/Q1 Titrations using ethylene diaminetetra acetic acid (EDTA) can be used to determine the concentration of metal ions in solution, such as Zn2 (aq). A solution of EDTA is usually prepared from the hydrated disodium salt, Na2H2Y.2H2O . The anion of EDTA is H2 Y 2- , where Y represents the organic part of the ion. The equation for the reaction between Zn2+(aq) and EDTA is shown. Zn2+ (aq) + H2Y2- (aq) ZnY2- (aq)+2H+ (aq) The indicator for the reaction is Solochrome Black, which changes colour at the endpoint from purple to blue. The indicator only works at pH 10, so a buffer solution is added to the metal ion solution to maintain the pH. (a) Explain why the pH would change during the titration if the buffer were not present.[1] (b) You are to plan a titration experiment to determine the concentration of zinc ions in a solution of zinc sulfate of concentration approximately 0.1 mol dm –3. You are provided with the following materials. 20.0 g of hydrated disordium EDTA, Na2H2Y.2H2O (Mr = 372.2) (c) aqueous zinc sulfate of approximate concentration 0.1 mol dm –3 buffer solution, pH 10 Solochrome Black indicator solution. (i) Name three pieces of volumetric apparatus you would use, with their capacities in cm3. [2] (ii) Calculate the mass of hydrated disordium EDTA that would be required for the preparation of a standard solution of concentration 0.100 mol dm –3, using the apparatus you have specified in (i). mass of hydrated disordium EDTA = ……… g [1] (iii) Describe how you would prepare this standard solution for use in your titration. [2] (iv) After you have performed a rough titration, how would you ensure that your next titration is accurate? [1] (v) How would you ensure that your titration result is reliable? [2] The term hard water is used to describe water containing the dissolved metal ions, Ca2+(aq) and Mg2+(aq). Both of these metal ions react with EDTA anions, H2Y2. Ca2+(aq) + Mg2+(aq) + 2H2Y2- (aq) CaY2- (aq) + MgY2- (aq) + 4H (aq) In an experiment to determine the concentration of each of these metal ions, two separate titration with EDTA need to be performed. For titration 1, a 25.0 cm3 sample of hard water is titrated with 0.0100 mol dm–3 EDTA solution using Solochrome Black solution as indicator. For titration 2, another 25.0 cm 3 sample of the same hard water is first treated with excess 2 mol dm–3 NaOH(aq) which precipitates all of the Mg2+(aq) ions as Mg(OH)2(s). After this treatment, no Mg2+(aq) ions remain in solution, leaving only dissolved Ca2+(aq) ions in solution. This solution is then titrated with 0.0100 mol dm –3 EDTA solution using Solochrome Black solution as indicator. The following information gives some of the hazards associated with the chemicals used in the procedure. Sodium hydroxide Solutions equal to or more concentrated than 0.5 mol dm–3 are classified as corrosive. Solochrome Black Solid Solochrome Black is classified as health hazard and is irritating to eyes, respiratory system and skin. All solutions are made up in ethanol and so are classified as flammable and health hazard. P-5 (Planning, Analysis and Evaluation) Yearly Worked Solutions 34 Chemistry A-Level P-5 (i) (ii) November 2016/P52 Identify one hazard that must be considered when planning the experiment and describe a precaution, other than eye protection, that should be taken to keep risks from this hazard to a minimum. hazard: precaution [1] Results obtained from this experiment are shown. titre 1, 22.70 cm3 titre 2, 16.60 cm3 Use the results of the titrations to determine the concentrations of Ca2+(aq) and Mg2+(aq) in the hard water. concentration of Ca2+(aq) ……………………… mol dm–3 concentration of Mg2+(aq) …………………….. mol dm–3 [4] Solution: (a) (b) Reaction produces H+ ions, so pH will decrease. (i) 1. Volumetric flask 250 cm3. 2. Pipette 25 cm3. 3. Burette 50 cm3. (ii) Moles required to dissolved in 250 cm 3 = [1] [2] 0.1 250 1000 Moles = Mass = (iii) (c) (iv) (v) (i) (ii) 0.025 0.025 ×372.2 mass of hydrated disodium EDTA = 9.305 g [1] Dissolve 9.305 gm of EDTA in a Beaker of 100 cm 3 distilled water. Add it into volumetric flask, of 250 cm 3, add distilled water in it to make up to volume upto the mask. [2] Add the solution dropwise into flask, according to your calculated end volum [1] Repeat it three times to get concordant readings. [1] hazard: Sodium hydroxide is corrosive in action. precaution: Wear gloves, and keep Solochrome Black away from flame. [1] Titration for Ca+2 = = 6.64 × 10–3 mol dm–3 Ca2+ Titration for Ca+2 and mg+2 Concentration of 2. 0.01 16.60 25 mg+2 = 0.01 22.7 25 = 9.08 ×10–3 = 9.08 × 10–3 – 6.64 × 10–3 concentration of Ca2+ (aq) 6.64 × 10–3 mol dm–3 concentration of Mg2+(aq) 2.44 × 10–3 mol dm–3 [4] O/N 16/P52/Q2 Benzenediazonium chloride, C6H5N2Cl is readily hydrolysed at temperature above 5°C, forming phenol, nitrogen gas and hydrochloric acid. C6H5N2Cl(aq) + H2O(l) C6H5OH(aq) + N2(g) + HCl (aq) The progress of the reaction can be monitored by measuring the volume of gas produced over time. The volume of gas produced V, after time, t, is proportional to the amount of benzenediazonium chloride that has been hydrolysed. The final volume of gas produced, Vfinal, is proportional to the original concentration of benzenediazonium chloride. The order of reaction can be determined from these results. P-5 (Planning, Analysis and Evaluation) Yearly Worked Solutions 35 Chemistry A-Level P-5 (a) (i) November 2016/P52 The experimentally determined volumes of gas produced during the hydrolysis of benzenediazonium chloride at 50°C are recorded below. Process the results to allow you to plot graph of (Vfinal – V) against time, t. Vfinal = 252 cm3 time/s Volume, V/cm3 0 0 150 32 300 62 450 87 600 110 750 129 900 146 1050 160 1200 173 1350 184 1500 193 (Vfinal – V)/ cm3 [1] (ii) Plot a graph to show how (Vfinal – V) / varies with time/s. Use a cross (×) to plot each data point. Draw the curve of best fit. cm3 260 240 220 200 180 160 140 (Vfinal – V ) / cm3 120 100 80 60 40 20 0 0 200 400 600 800 time / s 1000 1200 1400 1600 [2] P-5 (Planning, Analysis and Evaluation) Yearly Worked Solutions 36 Chemistry A-Level P-5 (iii) (iv) (b) November 2016/P52 Do you think the results obtained in (i) are reliable? Explain your answer. [1] Use the graph to determine the half-life, t 12 , of this reaction. State the co-ordinates of both points you used in your calculation. co-ordinates 1 co-ordinates 2 half-life = ………………. s [2] A student set up an experiment to determine the order of the reaction in (a). Part of the experimental set-up is shown below: boiling tube water bath benzenediazonium chloride anti-bumping granules (i) (c) Complete the diagram above to show the experimental set-up the student could have used to collect and measure the volume of gas evolved by the reaction. [2] (ii) The water bath was set at 60°C. At a reaction temperature 60°C, the measurements made would be less accurate than measurements made at room temperature. State why the measurements made at a higher temperature are less accurate. State the effect this will have on the values of Vfinal –V. [2] The graph below shows the results obtained from another benzenediazonium chloride hydrolysis reaction performed at a different temperature. (i) (ii) The point at time = 450 s is considered to be anomalous. Suggest what caused the anomaly. [1] The rate of reaction at different times can be calculated by drawing tangents to the best-fit line. The gradient of the tangent is equal to the rate of reaction, in cm3 s–1. Use the graph in (c) to read the value of Vfinal –V at time t = 200 s and write this value in the table below. Draw a tangent to the curve at time t = 200 s. Use the tangent to determine the gradient at time t = 200 s. State the co-ordinates of both points you used in your calculation. Co-ordinates 1 Co-ordinates 2 gradient at 200 s = …………… cm 3 s-1 Use your gradient to complete the table. (Vfinal –V) / cm3 rate of reaction / cm 3 500 104 – 0.143 600 91 – 0.127 900 59 – 0.0867 1000 52 – 0.0720 1400 30 – 0.0417 time / s 200 [4] (iii) The concentration of benzenediazonium chloride is directly proportional to (Vfinal –V). P-5 (Planning, Analysis and Evaluation) Yearly Worked Solutions 37 Chemistry A-Level P-5 November 2016/P52 Use the date in the table in (ii) to calculate the order of reaction with respect to benzenediazonium chloride. You must show your working. [2] Solution: (a) (i) time/s Volume, V/cm3 (Vfinal – V) cm3 0 0 252 150 32 220 300 62 190 450 87 165 600 110 142 750 129 123 900 146 106 1050 160 92 1200 173 79 1350 184 68 1500 193 59 [1] P-5 (Planning, Analysis and Evaluation) Yearly Worked Solutions 38 Chemistry A-Level P-5 (ii) November 2016/P52 260 y 1 240 220 200 180 160 140 (V final – V ) / cm3 y2 120 100 80 60 40 20 0 0 (iii) (iv) 200 400 600 800 time / s 1000 1200 Yes most of the points come on line. co-ordinates 1 (180, 220) co-ordinates 2: (860, 110) 1400 1600 [2] [1] half-life = 680 s [2] (b) (i) P-5 (Planning, Analysis and Evaluation) Yearly Worked Solutions 39 Chemistry A-Level P-5 November 2016/P52 boiling tube water bath benzenediazonium chloride anti-bumping granules (ii) [2] Rate of reaction would be higher at higher temperature and measurement would be difficult and volume of greater. The value of Vfinal –V will be lower. [2] (c) 250 200 7. 5 15 150 (Vfinal – V) /cm3 100 × × × × × 50 × × × 0 0 200 X1 P-5 (Planning, Analysis and Evaluation) 400 600 800 1000 1200 1400 time /s Yearly Worked Solutions 40 Chemistry A-Level P-5 (i) (ii) Less reading is taken. co-ordinates 1 (200, 50) November 2016/P52 [1] co-ordinates 2 (680, 157.5) gradient at 200 s = –0.223 cm3 s–1 time / s (Vfinal –V) / cm3 rate of reaction / cm 3 200 157.5 – 0.223 500 104 – 0.143 600 91 – 0.127 900 59 – 0.0867 1000 52 – 0.0720 1400 30 – 0.0417 [4] (iii) 1st half life time 2nd half life = 200 to 100 = 540 = 1020 – 540 = 520 half life for both is same, so, it is first order reaction. P-5 (Planning, Analysis and Evaluation) [2] Yearly Worked Solutions 41 Chemistry A-Level P-5 November 2016/P51 October/November 2016 Paper 51 1. O/N 16/P51/Q1 When hydrated barium chloride, BaCl2.xH2O, dissolves in water, Ba2+(aq) and Cl–(aq) ions are formed. The concentration of chloride ions in solution can be determined by titration with aqueous silver nitrate of known concentration. Ag+(aq) + Cl–(aq) AgCl(s) The indicator for the reaction is aqueous potassium chromate(VI), K2CrO4(aq). At the endpoint of the titration, it forms a red precipitate in the presence of excess silver ions. (a) The solubilities, in g dm –3, of different ionic compounds at 20°C are given in the table below. anion (b) cation Cl– CrO42– SO42– Ag+ 0.0019 0.022 293 Ba2+ 358 0.0028 0.00245 With reference to these data, where relevant, answer the following questions. (i) Name the red precipitate and give an equation for its formation. name: equation: [2] 2+ Sulfuric acid must be added to the solution to prevent the Ba (aq) ions from interfering with the action of the potassium chromate(VI) indicator. (ii) How would Ba2+(aq) ions interfere with the action of this indicator? [1] (iii) How does the addition of sulfuric acid prevent Ba2+(aq) ions from interfering with the action of this indicator? [1] In an initial rough titration, excess silver nitrate solution is added so that the endpoint is exceeded. Draw a sketch graph to show how the mass of silver chloride varies with the volume of silver nitrate added. Label both axes. 0 (c) [2] You are to plan to titration experiment to determine the value of x in BaCl2.xH2O. You are provided with the following materials. 300 g of hydrated barium chloride, BaCl2.xH2O 0.050 mol dm–3 aqueous silver nitrate 1.0 mol dm–3 potassium chromate(VI) solution 1.0 mol dm–3 sulfuric acid (i) Name three pieces of volumetric apparatus you would use, with their capacities in cm3. 1. 2. P-5 (Planning, Analysis and Evaluation) Yearly Worked Solutions 42 Chemistry A-Level P-5 November 2016/P51 3. (d) [2] (ii) Describe how you would make a solution of barium chloride that is suitable for use in your titration. [2] (iii) A known volume of barium chloride solution is transferred to a conical flask. In what order should the other three solutions then be added to the flask? first second third [1] (iv) How would you ensure that your titration result is reliable? [1] (v) In another experiment, a student dissolved 3.13 g of hydrated barium chloride. BaCl2.xH2O, in distilled water to give 1.00 dm 3 of solution. It was calculated that the concentration of Ba2+(aq) ions was 0.0128 mol dm –3. Determine the value of x in BaCl2.xH2O [Ar: Ba, 137.3; Cl, 35.5; H, 1.0; O, 16.2] x = …………. [2] The following information gives some of the hazards associated with the chemicals used in the procedure. Barium chloride Solid barium chloride is classified as toxic. Solutions equal to or more concentrated than 0.4 mol dm –3 are classified as moderate hazard and are harmful if swallowed. Solutions less concentrated than 0.4 mol dm–3 are classified as non-hazardous. Potassium chromate(VI) All solutions more concentrated than 0.9 mol dm –3 are classified as health hazard. They may cause skin, eye and respiratory irritation. Silver nitrate Solutions equal to or more concentrated than 0.18 mol dm –3 are classified as corrosive. Solutions equal to or more concentrated than 0.06 mol dm–3 but less than 0.18 mol dm –3 are classified as moderate hazard and cause skin and eye irritation. Solutions less concentrated than 0.06 mol dm –3 are classified as non-hazardous. Identify one hazard that must be considered when planning the experiment and describe a precaution, other than eye protection, that should be taken to keep risks from this hazard to a minimum. hazard: precaution: [1] Solution: (a) (i) name: Silver chromate equation: 2Ag+ + K 2CrO4 Ag2CrO4 + 2K + aq aq aqpH aq [2] 1 (ii) (iii) Barrium chromate would form, which is insoluble and could interfere the reaction. [1] H2SO4 form BaSO4, which is insoluble. [1] (b) P-5 (Planning, Analysis and Evaluation) Yearly Worked Solutions 43 November 2016/P51 Mass of Precipitate Chemistry A-Level P-5 0 Volume of AgNo 3 [2] (c) (i) (ii) (iii) (iv) (v) cm3 1. Volumetric flask 250 2. Pipette 25 cm3 3. Burette 50 cm3 Weigh 3 gram of BaCl2.xH2O in 50 cm3 of distilled water. Add their solution into 250 cm 3 volumetric flask. Now add distilled water in it to make up the volume upto mark. first: Sulphuric acid second: Barrium chloride third: Silver nitrate Titration will be repeated to get three concordant readings. 0.0128 × 208.3 = 2.67 g of BaCl2 Mass of H2O = 3.13 – 2.67 = 0.46 of H2O x= Mol of x 2. hazard: precaution: [2] [1] [1] 0.46 g 0.0128 = 18 x 1 = 35.9 gm. = (d) [2] 35.9 1.99 18 x= 2 [2] It is corrosive so wear gloves. Potassium dichromate cause skin irritation, sulphuric also skin irritant. [1] O/N 16/P51/Q2 Sucrose, C12H22O11, is a naturally occurring sugar found in sugarcane and many fruits. It can be hydrolysed in acid solution to give glucose and fructose. All three molecules are chiral and will rotate the plane of polarized light. The degree of rotation is known as the optical rotation, CH2OH O OH HO CH2OH CH2OH O H+ catalyst HO O OH OH sucrose O OH + H 2O CH2OH HO + OH OH glucose CH2OH O HO OH CH2OH OH fructose In the presence of excess water, the reaction can be considered to be first order with respect to sucrose concentration. The progress of the reaction can be monitored using a polarimeter, which measures the optical rotation, , of the solution. The more concentration the solution, the greater the optical rotation of the solution. P-5 (Planning, Analysis and Evaluation) Yearly Worked Solutions 44 Chemistry A-Level P-5 November 2016/P51 The concentration of sucrose at time t can be represented as ( – final), where final is the optical rotation of the solution after 6 hours. The mathematical relationship is given by the following equation. log10 α - αfinal = A - kt 2.30 A is a consent. k is the rate consent. (a) The experimentally determined values of optical rotation during the hydrolysis of sucrose at 298 K are recorded below. Process the results to allow you to plot a graph of log10 (–final) against time t. Calculate (–final) and record it to 1 decimal place. Calculate log10 (–final) and record it to 2 decimal places. (b) (i) (ii) time/s Optical rotation, 0 39.9 300 29.1 600 21.3 900 15.5 1200 10.6 1500 6.2 1800 2.4 2100 –0.3 2400 –2.5 2700 –4.5 final –12.0 (–final) log10 (–final) [2] Plot a graph on the grid on mentioned below graph to show how log10 (–final) varies with time t. Use a cross (×) to plot each data point. Draw the line of best fit. [2] State and explain whether the results and your graph confirm the relationship log10 α - αfinal = A - P-5 (Planning, Analysis and Evaluation) kt . 2.30 [1] Yearly Worked Solutions 45 Chemistry A-Level P-5 November 2016/P51 1.8 1.7 1.6 1.5 1.4 1.3 log 10( α – α final) 1.2 1.1 1.0 0.9 0.8 0.7 0.6 0 500 1000 1500 2000 2500 3000 time / s (c) (i) (ii) Determine the gradient of the graph. State the co-ordinates of both points you used for your calculation. Record the value of the gradient to three significant figures. co-ordinates 1 …………….. co-ordinates 2 ………………. gradient = …………… s–1 [2] Use the gradient value to calculate a value for k in the expression shown. log10 α - αfinal = A - kt 2.30 [2] P-5 (Planning, Analysis and Evaluation) Yearly Worked Solutions 46 Chemistry A-Level P-5 (d) November 2016/P51 The graph below shows the results obtained from a second hydrolysis of sucrose reaction performed at a different temperature. 45.0 40.0 35.0 30.0 25.0 α – α final 20.0 15.0 10.0 5.0 0.0 0 400 660 (i) (ii) (iii) 800 1200 660 1600 time / s (v) 2400 2800 The point at time = 2000 s is considered to be anomalous. Suggest what caused the anomaly. [1] Use the graph to determine the half-life, t1/2, of this reaction. State the co-ordinates of both points you used in your calculation. co-ordinates 1 …………….. co-ordinates 2 ………………. half-life = …………… s [2] For a first-order reaction, the following relationship exists. half-life, t1/2 = (iv) 2000 0.693 k Use this relationship and your answer to (ii) to determine k´, the rate constant for this second hydrolysis reaction. If you have been unable to determine the half-life of the reaction in (ii), you may use the value t1/2 = 500 s, though this is not the correct answer. k´ = ……………………. s–1 [1] State whether the temperature of the second reaction was higher or lower than that of the first. Explain your answer with reference to the answers you obtained in (c)(ii) and (d)(iii). If you have been unable to calculate a value for k in (c)(ii), you may use the value k = 800 × 100–4, though this is not the correct answer. [1] Would the value of the half-life change if the reaction were repeated with twice the initial concentration of sucrose? Give a reason for your answer. [1] P-5 (Planning, Analysis and Evaluation) Yearly Worked Solutions 47 Chemistry A-Level P-5 November 2016/P51 Solution: (a) (b) (i) (ii) time/s 0 300 600 900 1200 1500 1800 2100 2400 2700 Optical rotation, 39.9 29.1 21.3 15.5 10.6 6.2 2.4 –0.3 –2.5 –4.5 final –12.0 (–final) 51.9 41.1 33.3 27.5 22.6 18.2 14.4 11.7 9.5 7.5 log10(–final) 1.72 1.61 1.52 1.44 1.35 1.26 1.16 1.07 0.98 0.88 Yes, most of the points lies on the line, with few anomalies. P-5 (Planning, Analysis and Evaluation) [2] [2] [1] Yearly Worked Solutions 48 Chemistry A-Level P-5 November 2016/P51 1.8 1.7 1.6 1.5 y2 1.4 1.3 log10( α – α final ) 1.2 1.1 1.0 0.9 0.8 0.7 0.6-1.41 y1 0.6 0 x1 (c) (i) 500 co-ordinates 1 (0, 1000) 1.41 0.6 1000 0 1000 x2 1500 2000 2500 3000 time /s co-ordinates 2 0.6, 1.41 gradient = 8.1 × 10–4 s–1 [2] + (ii) k = log10 k = A - log10 α - αfinal 2.36 log10 α - αfinal 1.30 k= t k = 8.1 × 104 P-5 (Planning, Analysis and Evaluation) Yearly Worked Solutions 49 Chemistry A-Level P-5 log10 α - αfinal A November 2016/P51 -kT 2.3 (2.3 (log (–final) + A = –kT log10 α - αfinal A 2.3 T k k = –2.3 × 8.4 × 10–4 =1.932 × 10–3 [2] (d) 45.0 40.0 35.0 30.0 25.0 α – α final 20.0 15.0 10.0 5.0 0.0 0 400 660 800 1200 660 1600 2000 (i) (ii) (–final) is recorded too early. co-ordinates 1 (4.4, 2.2) (0,660) (iii) (iv) (v) k = 1005 × Second value is less so temperature is lower. Half-life remain constant because its under reaction. P-5 (Planning, Analysis and Evaluation) 2400 2800 time /s [1] co-ordinates 2 (2.2, 1.1) (660, 1320) 10–3 half-life = 660 s = 1.05 × 10–3 s–1 [2] [1] [1] [1] Yearly Worked Solutions 50 Chemistry A-Level P-5 June 2016/P52 May/June 2016 Paper 52 1. M/J 16/P52/Q1 A more reactive metal will displace a less reactive metal from a solution of its salt. This reaction is exothermic. If the same reaction is set up in an electrochemical cell than, instead of an enthalpy change, electrical energy is produced and a cell voltage can be measured. You are to plan an investigation of the reaction of three different metals (magnesium, iron and zinc) with aqueous copper(II) sulfate. You will plan to investigate whether there is a relationship O between their cell potential values. Ecell , and their enthalpy changes of reaction Hr. Mg(s) + Cu2 (aq) Mg2 (aq) + Cu(s) Fe(s) + Cu2 (aq) Fe2 (aq) + Cu(s) Zn(s) + Cu2 (aq) Zn2 (aq) + Cu(s) Copper(II) sulfate solution is classified as moderate hazard. Zinc sulfate solution is classified as corrosive. Iron(II) sulfate solution is classified as a health hazard. (a) (b) (c) (d) O Predict how Hr may change as Ecell increases. Give a reason for your prediction. [1] The first part of the investigation is to determine the enthalpy change, Hr, for the reaction off the same number of moles of three powdered metals with 0.500 mol dm –3 Copper(II) sulfate. When determining the Hr for the reaction of the metals listed above with aqueous copper(II) sulfate. the independent variable is, the dependent variable is [2] 3 You are provided with a sample of powdered metal and 50.0 cm of 0.500 mol dm–3 aqueous copper(II) sulfate. (i) Draw a fully labelled diagram to show how the apparatus should be set up to allow you to determine the increase in temperature of aqueous copper(II) sulfate. You should use apparatus normally found in a school or college laboratory. [1] (ii) State the measurements you would make in your experiment. [2] (iii) Other than eye protection, state one precaution you would take to make sure that the experiment proceeds safely. [1] (iv) For the reaction with magnesium, calculate the mass of magnesium, in g, you would use so that it is in a small excess. You must show your working. [Ar: Mg, 24.3] mass of Mg = g [2] (v) Explain why the metal used should be in powdered form rather than in strips. [1] (vi) The aqueous copper (II) sulfate and metal mixture should be stirred continuously. Explain why. [1] In one experiment, the increase in temperature when excess magnesium powder is added to 50.0 cm 3 of 0.500 mol dm–3 aqueous copper(II) sulfate is 58.5°C. Calculate the enthalpy change for this reaction, Hr, in kJ mol–1. Assume the specific heat capacity, c, of the reaction mixture is 4.18 J g–1 K–1. Assume 1.0 cm3 of 0.500 mol dm –3 aqueous copper (II) sulfate has a mass of 1.0 g. Include a sign in your answer. Mg(s) + Cu2+(aq) Mg2+(aq) + Cu(s) Hr = kJ mol–1 [2] P-5 (Planning, Analysis and Evaluation) Yearly Worked Solutions 51 Chemistry A-Level P-5 (e) June 2016/P52 O The second part of the investigation involves determining the cell potential, Ecell , for the three electrochemical cells. cell reaction Mg(s) + Cu2+(aq) Mg2+(aq) + Cu(s) Zn(s) + Cu2+(aq) Zn2+(aq) + Cu(s) Fe(s) + Cu2+(aq) Fe2+(aq) + Cu(s) (f) (g) O Draw a diagram of the apparatus you would use to measure the Ecell for the magnesium/copper cell. Your labels should include the names of the metals and the names and concentrations of the solutions you would use. [3] Explain why the enthalpy change determination and cell potential determination should be carried out at the same temperature as each other. [1] O Accepted Ecell values are shown for the cell reactions. cell reaction O /V Ecell 1 Mg(s) + Cu2+(aq) Mg2+(aq) + Cu(s) +2.72 2 Zn(s) + Cu2+(aq) Zn2+(aq) + Cu(s) +1.10 3 Fe(s) + Cu2+(aq) Fe2+(aq) + Cu(s) +0.78 Hr Use your prediction in (a), your answer to (d) and data from the table to predict Hr values for reactions 2 and 3. Complete the table with these values. [1] Solutions: (a) (b) (c) O With the increase in Ecell , increase, the Hr decreases or the reaction become more exothermic. [1] the independent variable is metal the dependent variable is increase in temperature. [2] (i) Stirer Thermometer cuso 4 Metal [1] (ii) (iii) Temperature before adding metal and after adding metal. Mass of metal before reaction and after reaction. Zinc sulphate is corrosive so wear gloves. 0.5 (iv) (v) (vi) (d) [2] [1] 50 24.3 1000 mass of Mg = 0.6075 g [2] Greater surface area, higher will be rate of reaction. [1] Uniform heating is ensured by stirring. [2] q = mC∆T = 50 × 4.18 × 58.5 P-5 (Planning, Analysis and Evaluation) Yearly Worked Solutions 52 Chemistry A-Level P-5 q June 2016/P52 12226.5 103 0.025 = Hr = –489 kJ mol–1 [2] (e) (f) (g) Both values can be compared easily under same conditions 1 cell reaction O /V Ecell Hr Mg(s) + Cu2+(aq) Mg2+(aq) + Cu(s) +2.72 – 4.89 2 Zn(s) + + Cu(s) +1.10 – 240 3 Fe(s) + Cu2+(aq) Fe2+(aq) + Cu(s) +0.78 –130 Cu2+(aq) Zn2+(aq) [3] [1] [1] 2. M/J 16/P52/Q2 The relative molecular mass, Mr, of volatile liquids can be determined using the apparatus below. steam in gas syringe self-sealing cap volatile liquid hypodermic syringe steam jacket thermometer steam out A known mass of volatile liquid is injected into the gas syringe using a hypodermic syringe. The injected volatile liquid vaporizes and the volume of vapour is recorded. The experiment can be repeated using different samples of the sample volatile liquid. The following mathematical relationship can be used to calculate the relative molecular mass if the experiment is carried out at 100°C and 1.01 ×105 Pa. 3.07 104 V m Mr P-5 (Planning, Analysis and Evaluation) Yearly Worked Solutions 53 Chemistry A-Level P-5 June 2016/P52 m is the mass of the volatile liquid in g. V is the volume of the volatile liquid in cm 3 when vaporized. A graph of V against m can be plotted. A group of students is given a volatile liquid hydrocarbon, Y, and asked to find its relative molecular mass in a series of experiments using this procedure. A 100 cm3 gas syringe is placed in a steam jacket. Approximately 5 cm 3 of air is pulled into the gas syringe. The temperature is allowed to reach a constant 100°C. Once the air in the gas syringe has stopped expanding, its volume is recorded. The hypodermic syringe is filled with liquid Y. The total mass of the hypodermic syringe and liquid Y is recorded. A little liquid Y is injected into the hot gas syringe. The total mass of the hypodermic syringe is recorded again. The maximum volume of air and vapour in the gas syringe is recorded. The mass of liquid Y injected into the gas syringe is calculated and recorded. The results from the group of students are given in the table. mass of syringe + liquid Y before injection /g mass of syringe + liquid Y after injection /g Volume of air in gas syringe before injection /cm3 Volume of air + vapour Y in gas syringe after injection / cm3 4.83 4.68 7 55 5.33 5.23 9 44 4.85 4.64 13 85 5.09 4.92 11 69 5.31 5.07 14 97 5.57 5.48 8 39 5.32 5.12 9 79 5.17 4.94 12 91 4.84 4.72 7 48 5.05 4.83 11 84 Mass of liquid Y used /g Volume of vapour Y / cm3 (a) Process the results in the table to calculate both the masses of volatile liquid Y used and the volumes of vaporized Y. [2] (b) Plot a graph on the grid to show the relationship between mass of liquid Y and volume of vapour Y. Use a cross (×) to plot each data point. Draw the line of best fit. [2] P-5 (Planning, Analysis and Evaluation) Yearly Worked Solutions Chemistry A-Level P-5 (c) 54 June 2016/P52 Liquid Y evaporates easily, even at room temperature. This can cause anomalous results giving points below the line of best fit. (i) Explain how such anomalies occur. (ii) With reference to the experimental procedure, explain how this source of error could be minimized. [1] P-5 (Planning, Analysis and Evaluation) Yearly Worked Solutions 55 Chemistry A-Level P-5 (d) (e) June 2016/P52 (i) Determine the gradient of your graph. State the co-ordinates of both points you used for your calculation. Record the value of the gradient to three significant figures. co-ordinates 1. co-ordinates 2. gradient = [2] (ii) Use the gradient value in (i) and the mathematical relationship on page 7 to calculate the experimentally determined relative molecular mass of Y. experimentally determined Mr of Y = [2] Compound Y is a hydrocarbon that contains 85.7% carbon by mass. The diagram shows the mass spectrum of compound Y. Use all the information given to determine the molecular formula of Y. molecular formula of Y [2] Solutions: (a) mass of syringe + liquid Y before injection /g mass of syringe + liquid Y after injection /g Volume of air in gas syringe before injection /cm3 Volume of air + vapour Y in gas syringe after injection / cm3 Mass of liquid Y used /g Volume of vapour Y / cm3 4.83 4.68 7 55 0.15 48 5.33 5.23 9 44 0.10 35 4.85 4.64 13 85 0.21 72 5.09 4.92 11 69 0.17 58 5.31 5.07 14 97 0.24 83 5.57 5.48 8 39 0.09 31 5.32 5.12 9 79 0.20 70 5.17 4.94 12 91 0.23 79 4.84 4.72 7 48 0.12 41 5.05 4.83 11 84 0.22 73 [2] (b) 75 35 40 0.21 0.096 0.114 P-5 (Planning, Analysis and Evaluation) Yearly Worked Solutions 56 Chemistry A-Level P-5 June 2016/P52 90 80 Y2 70 volume of vapour Y / cm3 60 50 Y1 40 30 0.08 0.10 x 1 0.12 0.14 0.16 0.18 0.20 x 2 0.22 0.24 mass of liquid Y /g [2] (c) (i) (ii) (d) (i) Y may evaporates from the syringe, or Y evaporate before weighing or after injection [1] Keep the syringe cool as much as possible, to stop evaporation and close off the needle end to stop vaporation. [1] co-ordinates 1: (x1 y1) (0.118, 41) co-ordinates 2: (x2 y2) (0.22, 77) gradient = 77 41 0.22 0.118 = 36 0.102 gradient = 352.94 P-5 (Planning, Analysis and Evaluation) [2] Yearly Worked Solutions 57 Chemistry A-Level P-5 (ii) Mr 3.07 102 gradient 3.07 104 353 June 2016/P52 experimentally determined Mr of Y = 869 (e) Mr from spectrum is 84. C = 6 × 12 = H = 12 × 1 = [2] 72 12 84 Empirical formula mass 84 molecular formula of Y C6H12 P-5 (Planning, Analysis and Evaluation) [2] Yearly Worked Solutions Chemistry A-Level P-5 58 June 16/P-51 May/June 2016 Paper 51 1. M/J 16/P51/Q1 Lithium is a soft alkali metal which may be cut with a knife. It is usually stored under oil because it reacts rapidly with moisture and oxygen in the air. Lithium is corrosive and may cause burns. Lithium is high flammable and in large amounts reacts violently with water. 2Li(s) + 2H2O(I) 2LiOH(aq) + H2(g) This reaction can be used to determine the relative atomic mass of lithium by measuring the volume of hydrogen produced from a small amount of lithium. (a) Draw the apparatus you could use to measure the volume of hydrogen produced, using standard laboratory equipment. Label the chemicals in your diagram and show how the reactants can be kept apart until the reaction is started. [3] (b) To successfully carry out this experiment a correct procedure must be followed. The lithium you will use is stored as large pieces under oil. (i) Beginning with a large piece of lithium being removed from the oil, state how you would prepare a small pieces of lithium for use in this experiment. [1] (ii) By only observing the gas collecting apparatus, state how you would know the reaction had stopped. [1] (iii) Other than eye protection, state two precautions you would take to make sure that the experiment proceeds safely. 1. 2. [2] (iv) The relative atomic mass of lithium is known to be approximately 7. What approximate volume of hydrogen gas would a 0.1 g mass of lithium produce? (1 mol of gas occupies 24.0 dm 3 at room temperature and pressure.) Volume of H2(g) produced ………………. [1] (v) What would be the capacity (volume) of the gas collecting apparatus you would use for the volume of hydrogen produced in (iv)? volume of gas collecting apparatus ………….. [1] (c) Another method that can be used to determine the relative atomic mass of lithium is by titration of the lithium hydroxide produced during its reaction with water. The following experimental procedure may be used. 1. Add 100.0 cm3 of distilled water to a clean beaker. 2. Add a known mass of lithium to the distilled water. 3. After the reaction is complete, transfer 25.0 cm 3 of the solution of lithium hydroxide from the beaker to a clean conical flask. 4. Titrate this with an acid of known concentration. (i) State how you would accurately measure the total volume of distilled water in step 1. [1] (ii) State how you would know that the reaction between lithium and distilled water was complete. [1] (iii) State how you would transfer 25.0 cm 3 of the solution of lithium hydroxide into a clean conical flask in step 3. [1] (iv) State how you would ensure that your titration result was reliable. [1] (d) To make sure that the beaker and the conical flask used in the experimental procedure in (c) are clean, a student decides to wash them out with some distilled water before starting the experiment. Some water remains in the beaker. State the effect, if any, this would have on the calculated relative atomic mass of lithium. Explain your reasoning. P-5 (Planning, Analysis and Evaluation) Yearly Worked Solutions Chemistry A-Level P-5 59 June 16/P-51 Some water remains in the conical flask. State the effect, if any, this would have on the calculated relative atomic mass of lithium. Explain your reasoning. [2] Solution: (a) (b) (c) (d) 2. [3] Cut small piece of lithium inside the oil with knife, then add into flask and remove oil. [1] (ii) Bubbles are stop coming out, and gas volume in the syringe stop to change. [1] (iii) 1. Wear gloves, as it is corrosive in action. 2. Keep the lithium piece away from water and flame. [2] 0.1 1 (iv) [since 2 moles Lithium produce 1 mole = 24 dm3 of hydrogen] 24 7 2 volume of H2(g) produced 171 cm3 [1] (v) volume of gas collecting apparatus 250 cm 3 [1] (i) Burette is used to measure volume. [1] (ii) All solid lithium will reacted and dissolve, no bubble arise. [1] (iii) Pipette or Burette. [1] (iv) Repeat the titrations to get concordant readings. [1] Solution get diluted, and greater Ar will appear. Number of moles of LiOH put in the solution remain same, so no effect. [2] (i) M/J 16/P51/Q2 Activation energy EA, is the minimum energy with which particles must collide so that a reaction occurs. The activation energy for the reaction of magnesium with aqueous hydrogen ions can be determined in the laboratory. Mg(s) + 2H+(aq) Mg2+(aq) + H2(g) A magnesium strip is placed in dilute hydrochloric acid and the time taken (t), in seconds, for 1 1 the magnesium to disappear is measured. The initial rate of reaction is calculated as time t If the experiment is repeated at several different temperatures then the following mathematical relationship can be used to calculate EA. EA 1 1 log10 t 0.0191 T T is the temperature measured in K. 1 is the initial rate of reaction in s–1. t 1 1 A graph of log10 against can be plotted. T t P-5 (Planning, Analysis and Evaluation) Yearly Worked Solutions 60 Chemistry A-Level P-5 June 16/P-51 Experimental procedure 1. 25 cm3 of dilute hydrochloric acid is added to a boiling tube. 2. The boiling tube is placed in a water bath until the dilute hydrochloric acid reaches a constant temperature. This temperature is recorded. 3. A magnesium strip of mass 0.10 g is added to the boiling tube, the mixture stirred and the time taken for the magnesium to disappear is recorded. 4. The temperature of the water bath is changed and the experiment is repeated. (a) The results of the experiment, carried out at different temperatures, are recorded in the table below. 1 1 Process the results to calculate the reciprocal of temperature and log10 . The T t 1 first value of has been done for you. T 1 Record in standard form to three significant figures. T 1 1 Record log10 to two decimal places. You should except log10 to be negative. t t (b) Temperature /°C Time t/s Temperature T/K 1 / K 1 T 1 1 /s t 15 83 288 3.47 × 10–3 1.20 × 10–2 20 58 293 1.72 × 10–2 27 36 300 2.78 × 10–2 30 28 303 3.57 × 10–2 34 18 307 5.56 × 10–2 38 19 311 5.26 × 10–2 40 15 313 6.67 × 10–2 43 12 316 8.33 × 10–2 48 9 321 1.11 × 10–1 55 8 328 1.25 × 10–1 1 log10 t [3] Plot a graph on the grid on graph mentioned below to show the relationship between 1 1 log10 and . T t Use a cross (×) to plot each data point. Draw a line of best fit. P-5 (Planning, Analysis and Evaluation) [2] Yearly Worked Solutions 61 Chemistry A-Level P-5 June 16/P-51 1 /K–1 T 3.0 10 –3 3.1 10 –3 3.2 10 –3 3.3 10 –3 3.4 10 –3 3.5 10 –3 3.6 10 –3 −0.8 −0.9 −1.0 −1.1 −1.2 −1.3 1 log10 ( ) t −1.4 −1.5 −1.6 −1.7 −1.8 −1.9 −2.0 (c) (d) On your graph, circle the two points you consider to be the most anomalous. Label each one with a different letter. Explain what may have caused each of the anomalies you have identified, giving a different reason each time. Make it clear in your answer to which point you are referring. [2] (i) Determine the gradient of your graph. State the co-ordinates of both points you used for your calculation. Record the value of the gradient to three significant figures. co-ordinates 1 co-ordinates 2 gradient = ……………….[2] P-5 (Planning, Analysis and Evaluation) Yearly Worked Solutions 62 Chemistry A-Level P-5 June 16/P-51 (ii) (e) (f) (g) (h) Use your gradient from (i) and the mathematical relationship on next page to calculate the activation energy EA, in kJ mol–1. Include a sign in your answer. EA = ……………….. kJ mol–1 [2] State whether you consider the results to be reliable. Explain your answer. [1] Student X commented that data collected at higher temperatures in the experiment may be less accurate than that collected at lower temperatures. State whether student X is correct. Explain why. [1] If the magnesium strip is not stirred it floats to the surface of the hydrochloric acid. State how this will affect the reaction time. Explain why. [1] The experiment (a) is repeated using dilute ethanoic acid instead of dilute hydrochloric acid. The concentration of both acids is equal. The same temperatures are used as in (a). State the effect this change in acid will have on the initial rate values. Give a reason for this. [1] Solution: (a) Temperature /°C Time t/s Temperature T/K 1 / K 1 T 1 1 /s t 1 log10 t 15 83 288 3.47 × 10–3 1.20 × 10–2 –1.92 293 3.41 × 10–3 1.72 × 10–2 –1.76 3.33 × 10–3 2.78 × 10–2 –1.56 3.30 × 10–3 3.57 × 10–2 –1.45 3.26 × 10–3 5.56 × 10–2 –1.25 3.22 × 10–3 5.26 × 10–2 –1.28 3.19 × 10–3 6.67 × 10–2 –1.18 3.16 × 10–3 8.33 × 10–2 –1.08 3.12 × 10–3 1.11 × 10–1 –0.95 3.05 × 10–3 1.25 × 10–1 –0.90 20 27 30 34 38 40 43 48 55 58 36 28 18 19 15 12 9 8 300 303 307 311 313 316 321 328 [3] (b) P-5 (Planning, Analysis and Evaluation) Yearly Worked Solutions 63 Chemistry A-Level P-5 June 16/P-51 1 / K–1 T 3.0× 10 –3 3.1× 10 –3 3.2 × 10 –3 3.3 × 10 –3 3.4 × 10 –3 3.5 × 10 –3 3.6 × 10 –3 −0.8 −0.9 −1.0 −1.1 −1.2 −1.3 1 log 10 ( ) t −1.4 −1.5 −1.6 −1.7 −1.8 −1.9 −2.0 (c) (d) (e) (f) [2] X, is point due to late time is stopped or timer was started early. Y-point time was started late, or stopped early or Mg disappear earlier. [2] (i) co-ordinates (1): (–1.46, –0.8) co-ordinates (2): (3.3 × 10–3, 3.07 × 10–3) gradient = 2869.56 [2] Gradient × 0.0191 (ii) – EA = EA = 0.0548 kJ mol–1 [2] 1000 Most of the points lies close to the line, so the results are reliable. [1] Reaction time is very less at higher temperature so the uncertainty or percentage error is greater X is corrected. [1] P-5 (Planning, Analysis and Evaluation) Yearly Worked Solutions Chemistry A-Level P-5 (g) (h) 64 June 16/P-51 Area of contact is less, so reaction time is greater. H+ ion concentration in case of Ethanoic acid is less, so initial rate is very slow. P-5 (Planning, Analysis and Evaluation) [1] [1] Yearly Worked Solutions 65 Chemistry A-Level P-5 November 2015/P52 October/November 2015 Paper 52 1. O/N 15/P52/Q1 It is possible to determine the relative molecular mass, Mr, of a small sample of a volatile liquid by measuring its mass and then heating to vaporize it to obtain its volume as a gas. (a) Explain how the relative molecular mass can be determined in this way. [2] (b) (i) The volume of the vaporized sample depends on its temperature and pressure. In an experiment, a sample of volatile liquid of known mass was vaporized and its volume recorded. The pressure was correctly recorded as 101 kPa but the temperature was incorrectly recorded as 50°C. The correct temperature was 60°C. By considering the effect of these different temperatures on the gas volume, explain how the value of the calculated Mr would be affected. [3] (ii) The temperature was maintained at 60°C but the pressure was increased to 110 kPa. Would this have given an answer that was nearer to the true values of the relative molecular mass? Explain your answer. [1] In an experiment to determine the relative molecular mass of hexane, boiling point 69°C, a specialist piece of apparatus called a Victor Meyer tube can be used. This consists of a long tube with a bulb at the base in which a sample can be vaporized. The tube has a side arm to allow the escape of gas from within the tube. The tube is surrounded by another which can be used to heat the contents of the first tube. A diagram of the apparatus is shown below. stopper small sample tube hexane Victor Meyer tube sand A small sample tube containing the hexane is inserted at the top of the Vector Meyer tube. The sample tube is small enough to fit inside the Victor Meyer tube and falls onto the hot sand below. The sand will cushion its fall so that the sample tube does not break. The stopper is then quickly replaced at the top of the Victor Meyer tube. The hot sand causes the hexane to vaporize and expel air contained in the Victor Meyer tube. (c) Complete the diagram above to show: how the apparatus should be heated. a connection to further apparatus which would allow the air expelled from the Victor Meyer tube when the sample of hexane is vaporized to be collected and measured. [2] (d) Suggest one hazard associated with the use of hexane. [1] (e) (i) With the gas collection apparatus connected to the heated Victor Meyer tube, expelled air will be collected before the hexane is introduced. Explain why. [2] (ii) At which stage of the experimental procedure should the sample tube be dropped into the Victor Meyer tube? [1] (f) State what measurements you would need to make in order to determine the relative molecular mass of hexane. [3] P-5 (Planning, Analysis and Evaluation) Yearly Worked Solutions 66 Chemistry A-Level P-5 November 2015/P52 Solution: (a) Note down the pressure exerted by the vapourised gasp. Note down the volume of gas evaporated. Mass is also known. Use the formula pV = nRT to get “n” number of moles. Then use Mr = (b) (i) (ii) m to get Mr. n [2] Volume of gas is lowered at lower temperature (i.e. of 50°C). This in turn causes the calculated value of the Mr to be less than the actual one. [3] Yes the answer would be close to the true value as the increase in pressure would cause the Mr to increase. [1] stopper small sample tube Gas Syringe hexane Victor Meyer tube stand to hold gas syringe in place ubter to heat the sample uniformly sand stand to hold gas syringe in place ubter to heat the sample uniformly Tripod stand Bunsen burner (c) (d) (e) (f) 2. [2] (i) (ii) Causes breathing difficulties. Causes irritation to the skin. The air would expand and will move towards the collection apparatus. Tube syringe no longer moves. Temperature and pressure. The mass of tube with Hexane and mass of empty tube. Syringe reading before addition of hexane and after additional hexane. [1] [1] [1] of [3] O/N 15/P52/Q2 In an experiment, various masses of solid barium hydroxide are added to 60.0 cm 3 of a solution of hydrochloric and contained in a polystyrene cup. In each experiment a fresh sample of the acid is taken and its initial temperature is measured. After the Barium hydroxide has been added, the acid is stirred and the maximum temperature reached is noted. The results of each experiment are recorded in the table below. (a) Complete the table below to give the temperature rise obtained from each experiment to one decimal place and the amount of barium hydroxide used in mol to three significant figures in each case. The mass of 1 mol of barium hydroxide is 171 g. Initial temperature of HCl/°C mass of barium hydroxide added / g Maximum temperature reached /°C 21.0 0.500 22.2 P-5 (Planning, Analysis and Evaluation) Temperature rise / °C barium hydroxide added / mol Yearly Worked Solutions 67 Chemistry A-Level P-5 (b) (i) November 2015/P52 20.6 1.00 23.0 21.2 1.50 24.9 21.8 2.00 26.5 20.5 3.00 27.8 21.4 4.00 31.1 21.2 5.00 31.6 21.0 6.00 31.4 20.8 8.00 31.2 [2] Using the grid, plot a graph to show how the temperature rise varies with the moles of barium hydroxide added. [1] 12.0 11.0 10.0 9.0 temperature rise / C 8.0 7.0 6.0 5.0 4.0 3.0 2.0 1.0 0.0 0.000 0.010 0.020 0.030 0.040 0.050 barium hydroxide added / mol (ii) (c) Draw two lines of best fit on your graph and state the value on the x-axis at the point of intersection of the two lines. Value on the x-axis at the point of intersection is ……….. [2] Use the value on the x-axis at the point of intersection to calculate the concentration of the hydrochloric acid in mol dm–3. [2] P-5 (Planning, Analysis and Evaluation) Yearly Worked Solutions 68 Chemistry A-Level P-5 (d) November 2015/P52 Explain the variation in temperature that takes place when barium hydroxide is added to the hydrochloric acid. [2] (i) When the experiment is done in the way described, the results are not very accurate. Apart from limitations due to the accuracy of the measuring equipment, suggest why: all the temperature rises measured are less than theoretically should be expected. the temperature rises are more inaccurate as they approach their maximum value. [2] (ii) What improvement would you make to achieve greater accuracy? [1] 3 3 In another experiment, 60.0 cm of ethanoic acid is used instead of the 60.0 cm of hydrochloric acid. If the ethanoic acid has the same concentration as the hydrochloric acid, draw on your graph another pair of lines to show the results you would expect to obtain. Explain your answer. [3] (e) (f) Solution: (a) Initial temperature of HCl/°C 21.0 20.6 21.2 21.8 20.5 21.4 21.2 21.0 20.8 mass of barium hydroxide added/ g 0.500 1.00 1.50 2.00 3.00 4.00 5.00 6.00 8.00 Maximum temperature reached /°C 22.2 23.0 24.9 26.5 27.8 31.1 31.6 31.4 31.2 Temperature rise / °C 1.2 2.4 3.7 4.7 7.3 9.7 10.4 10.4 10.4 barium hydroxide added / mol 0.00292 0.00585 0.00877 0.0117 0.0175 0.0234 0.0292 0.0351 0.0468 [2] (b) (i) P-5 (Planning, Analysis and Evaluation) Yearly Worked Solutions 69 Chemistry A-Level P-5 November 2015/P52 12.0 11.0 10.0 9.0 temperature rise / C 8.0 7.0 With Ehanoic Acid 6.0 With HCl 5.0 4.0 3.0 2.0 1.0 0.0 0.000 0.010 0.020 0.030 0.040 0.050 barium hydroxide added / mol (ii) (c) (d) (e) Value on the x-axis at the point of intersection is 0.0248. [1] [2] Ba(OH)2 + 2HCl BaCl2 + 2H2O 0.0248 × 2 = 0.496 mol 0.496 1000 = 60 = 0.827 mol dm-3 [2] The given reaction is exothermic as there is a rise in temperature. Upto a certain mass/moles of Ba(HO)2 added there is a rise in temperature till HCl fully reacted after which volume/concentration of HCl became a limiting factor, hence the reaction does not proceed. Consequently the rise in temperature becomes constant. [2] (i) Heat is lost to the surroundings. As the reaction proceeds the reaction gets slower [2] (ii) Use powdered Ba(OH)2. Use lid to cover the polystyrene cup. [1] P-5 (Planning, Analysis and Evaluation) Yearly Worked Solutions Chemistry A-Level P-5 (f) 70 November 2015/P52 As ethanoic acid is a weak acid some of the heat energy which is released is used to ionize ethanoic acid. [3] P-5 (Planning, Analysis and Evaluation) Yearly Worked Solutions Chemistry A-Level P-5 71 November 2015/P53 October/November 2015 Paper 53 1. O/N 15/P53/Q1 The halogenoalkanes can react with hydroxide ions to form an alcohol and a halide ion. (a) The rate at which the reaction occurs depends on which of the halogenoalkanes is chosen. The reaction is a nucleophilic attack by the hydroxide ion and the rate might depend on: the polarity of the carbon-halogen bond, the bond strength of the carbon-halogen bond. For (i) and (ii), chlorobutane, bromobutane and iodobutane should be considered. (i) If the rate of reaction was only controlled by the polarity of the carbon-halogen bond, the order of reactivity (most reactive to least reactive) would be Explain the variation in the polarity of the carbon-halogen bonds. [2] (ii) If the rate of reaction was only controlled by the bond strength of the carbonhalogen bond, the order of reactivity (most reactive to least reactive) would be Explain the variation in the bond strength of the carbon-halogen bonds. [2] (b) An experiment can be carried out to compare the extent of the reaction between aqueous hydroxide ions and chlorobutane, bromobutane and iodobutane. Samples of the halogenoalkanes are reacted with sodium hydroxide for 2 minutes at 50°C. After the reaction, addition of aqueous silver nitrate causes the formation of a silver halide precipitate. Some hazards associated with the use of halogenoalkanes include: very hazardous in case of skin and particularly eye contact, very hazardous if inhaled or ingested, flammable. To carry out this experiment, the following would be supplied. usual laboratory apparatus laboratory reagents including a suitable aqueous solution of sodium hydroxide and aqueous silver nitrate samples of each of the three liquid halogenoalkanes (i) Identity the independent variable and the dependent variable in this experiment. Independent variable dependent variable [1] (ii) The amount of each halogenoalkane liquid to use is most practically measured by its volume. Usually equal volumes of the three halogenoalkanes are used. Explain why this is not ideal and what change should be made to obtain a more reliable comparison between the halogenoalkanes. [2] (iii) Answer the following questions about the experiment. Having measured the quantity of fhalogenoalkanes, what must be ensured about the amount of sodium hydroxide used? How would the reaction tubes be heated and the experiment be started? What reagent could be added which would ensure that after 2 minutes the reaction was stopped? After the reaction has been stopped and aqueous silver nitrate added, the amount of precipitate formed could be determined by measuring its height. Why is it necessary to leave the tubes for some time before making this measurement? [5] P-5 (Planning, Analysis and Evaluation) Yearly Worked Solutions 72 Chemistry A-Level P-5 November 2015/P53 (iv) (c) Although the amount of silver halide formed can reasonably be obtained by measuring the height of the precipitate in the reaction tube, this is not very reliable. Explain what should be done with the precipitate to obtain a more reliable measurement of the amount of silver halide produced. [2] The use of halogenoalkanes is hazardous and both gloves and eye protection are necessary. State one other essential precaution which should be taken when carrying out the experiments. [1] Solution: (a) (b) (c) 2. Chlorobutane – Bromobutane – Iodobutane Electronegativity decreases from chlorine to iodine. Higher electronegativity results in higher reactivity. [2] (ii) Iodobutane – bromobutane – chlorobutane Bond strength decreases from the chlorobutane, to Iodobutene so reactivity will increase. [2] (i) Independent variable: Type of halogenoalkane Dependent variable: Amount of precipitate formed. [1] (ii) Equal moles of the halogenoalkanes are not being used. For a more reliable comparison, use equal moles of each halogenoalkane. Or Equal volumes do not contains equal number of moles so for reliable comparison must take equal number of moles. [2] (iii) Use same amount of NaOH for each halogenoalkane. Place the tubes in a water bath. Heat the water bath to 50°C by a Bunsen burner. Use thermometer to ensure that this temperature is achieved and maintained. Mix the reagents and immediately start timer. Nitric acid. Allow the precipitate to settle. [5] (iv) Filter the precipitates and dry them. Then weight them using an electronic balance. [2] Do not expose the halogenoalkanes directly to frames OR Wear a mask, us a fume cupboard, carry out experiment in a well ventilated room. [1] (i) O/N 15/P53/Q2 At 25°C, dinitrogen tetroxide, N2O4(g), forms an equilibrium mixture with nitrogen dioxide, NO2(g), N2O4(g) 2NO2(g) H = +57.2 kJ mol–1 As N2O4(g) is colourless and NO2(g) is brown, the composition of an equilibrium mixture can be determined by its colour. (a) Write an expression for the equilibrium constant, Kc, for this equilibrium. [1] (b) In an experiment, quantities of N2O4 are left to reach an equilibrium which contains N2O4 and NO2. These are analysed to determine the concentrations of N 2O4(g) and NO2(g) that are present. The results are listed in the first two columns of the table below. Complete the third column of the table to give the value of [NO2(g)]2 for each of the results of the experiment. Values should be given to three significant figures. [N2O4(g)]/mol dm–3 [NO2(g)]/mol dm–3 0.900 0.0729 0.800 0.0687 0.700 0.0643 0.600 0.0595 P-5 (Planning, Analysis and Evaluation) [NO2(g)]2/mol2 dm–6 Yearly Worked Solutions 73 Chemistry A-Level P-5 0.500 0.0548 0.400 0.0486 0.300 0.0390 0.200 0.0344 0.100 0.0243 November 2015/P53 [2] (c) (i) The value of the equilibrium constant for N2O4(g) 2NO2(g) can be calculated from a graph of [N2O4(g)] against [NO2(g)]2. Use the grid to plot this graph and draw a line of best fit through the plotted points. 0.006 0.005 [NO2(g)]2 / mol2 dm–6 0.004 0.003 0.002 0.001 0.000 0.00 0.10 0.20 0.30 0.40 0.50 0.60 0.70 0.80 0.90 [N2O 4(g)]/ mol dm –3 (ii) [2] Choose two suitable sets of values from your graph and use them to calculate a value for the equilibrium constant, Kc. Give your answer to three significant figures and give its units. P-5 (Planning, Analysis and Evaluation) Yearly Worked Solutions 74 Chemistry A-Level P-5 November 2015/P53 co-ordinates of two points used ……………….. (d) (e) (f) …………………… Kc = …………. units ………… [3] Identify the result which is most anomalous and suggest a reason, other than a calculation error, why this may have occurred. [2] (i) On your graph, draw a line that would be obtained if the temperature of the equilibrium mixture was raised. (ii) Explain the position of the line drawn in (i). (iii) What effect, if any, would the higher temperature have on the value of Kc? [1] (iv) How would your value for the equilibrium constant change if the pressure applied to the equilibrium mixture was increased. [1] In the experiments, the result have been obtained by starting with pure N 2O4(g) and then letting the equilibrium with NO2(g) form. Calculate the starting concentration of pure N2O4(g) that would be required to produce the mixture of 0.900 mol dm –3 of N2O4(g) and 0.0729 mol dm –3 of NO2(g) once equilibrium had been established. [1] Solution: NO2 N2O4 2 (a) Kc = [1] (b) [N2O4(g)]/mol dm–3 [NO2(g)]/mol dm–3 [NO2(g)]2/mol2 dm–6 0.900 0.0729 0.00531 0.800 0.0687 0.00472 0.700 0.0643 0.00413 0.600 0.0595 0.00354 0.500 0.0548 0.00300 0.400 0.0486 0.00236 0.300 0.0390 0.00152 0.200 0.0344 0.00118 0.100 0.0243 0.00590 [2] (c) (i) P-5 (Planning, Analysis and Evaluation) Yearly Worked Solutions 75 Chemistry A-Level P-5 November 2015/P53 0.006 0.005 [NO 2(g)]2 /mol2 dm–6 0.004 0.003 0.002 0.001 0.000 0.00 0.10 0.20 0.30 0.40 0.50 0.60 0.70 0.80 0.90 –3 [N2O 4(g)]/mol dm [2] (ii) Co-ordinates of two points used: (0.07, 0.65) (K c ) Gradient (d) (e) (0.0004, 0.00385) 0.00385 0.00040 0.65 0.07 0.00345 0.58 = 0.00594 Kc = 0.00594 units mol dm–3 [2] –3 The result at (N2O4) = 0.3 mol dm is the most anomalous, it is because temperature might have been lower than 25°C (too low) or the equilibrium might not have been established, yet [1] (i) On Graph [1] (ii) Reaction is endothermic hence increasing temperature would give higher concentration of NO2 i.e. steeper gradient. [1] P-5 (Planning, Analysis and Evaluation) Yearly Worked Solutions 76 Chemistry A-Level P-5 (iii) (iv) (f) November 2015/P53 Value of Kc increases. No change. [1] [1] N2O4(g) 2NO2(g) At start At equilibrium x 0.900 x 0.0729 0.900 2 x = 0.900 + 0.03645 = 0.0963 mol dm–3 P-5 (Planning, Analysis and Evaluation) O 0.0729 [1] Yearly Worked Solutions 77 Chemistry A-Level P-5 June 2015/P52 May/June 2015 Paper 52 1. M/J 15/P52/Q1 This question concerns electrolysis of different compounds. (a) During the electrolysis of dilute sulfuric acid using a current of 0.75 A for 90 minutes, the volume of oxygen gas collected was recorded and is shown in the graph below. 250 volume of oxygen 200 150 volume of gas / cm 3 100 50 0 0 10 20 30 40 50 60 70 80 90 time / min (i) (ii) (iii) (b) Give equations for the reactions that occur at each electrode in the electrolysis of sulfuric acid. [2] On the graph above, use a ruler to draw and label a line (hydrogen) to predict the volume of hydrogen that would be given off during same experiment [1] On the graph above, use a ruler to draw and label a line (oxygen) to predict the volume oxygen that would be produced if a current of 0.45A was used instead of the 0.75A used in the original experiment. [1] During the electrolysis of potassium butanedioate, the following reaction occurs. CH2COO-K + 2H2O + CH2COO-K + C2H4 + 2CO2 + H2 + 2K +OH potassium butanedioate An experiment can be carried out to confirm the above equation. In order to do this, the amounts of hydrogen, ethane and carbon dioxide produced need to be measured. Hydrogen is produced at one electrode, ethane and carbon dioxide are produced at the other. The carbon dioxide can be separated from the ethene by absorbing it in an alkali before the volume of ethene is measured. (i) Using the power supply drawn below, draw a fully labelled circuit diagram and apparatus which shows how: the current could be measured, the hydrogen produced could be collected and its volume measured. the carbon dioxide could be removed using a named alkali, the volume of ethene could be measured. P-5 (Planning, Analysis and Evaluation) Yearly Worked Solutions 78 Chemistry A-Level P-5 + June 2015/P52 – d.c. power supply (ii) (iii) (iv) (v) (vi) State what measurements should be taken when carrying out the experiment. C coulombs of electricity resulted in V cm3 of hydrogen gas being produced during the electrolysis. In terms of C and V, state the number of coulombs, N, that would be required to produce 24 dm3 of hydrogen. In terms of N, state the number of faradays of electricity that would be required to produce 1 mol of hydrogen at room temperature and pressure. (1 faraday of electricity = 96 500 coulombs) Give the equation for the reaction that takes place when the carbon dioxide is absorbed by the alkali. Predict the organic product that would be obtained at the anode when a solution of potassium hexanedioate is electrolyzed. Solution: (a) (i) 4H+ (aq) + 4e 2H2 (g) At cathode 4OHaq 2H2( ) O + O2 4e At anode [2] (ii) (II) (III) volume of gas 3 /cm [1] (iii) (b) 0.75 A : 250 cm 3 of O2 0.45 A : x x = 150 cm3 [1] (i) P-5 (Planning, Analysis and Evaluation) Yearly Worked Solutions 79 Chemistry A-Level P-5 June 2015/P52 d.c.power supply Gas syringe to measure volume 2 1+2 Gas syringe ensure volume of Ethene boiling tube with KoH Solution to absorb Cu 2 Cathode Anode Electrolyte [5] (ii) (iii) Note down the current by Ammeter. Now down the volume of hydrogen gas evolved. C = v cm3 N : 24 N= (iv) (v) C × 24 dm3 v × 10-3 Faraday = [2] [Ampere] [1] N 96500 2 KOH + CO2 K 2CO3 + H2O (aq) (g) (aq) O [1] ( ) O K O - C - (CH2 )4 - C - O-K + +2H2O 2K + + 2OH 2CO2 + H2 + C4H8 + - (vi) aq ( ) aq aq (g) (g) CH3 - CH=CH-CH3 But–2–ene 2. [1] M/J 15/P52/Q2 In order to identify a monoprotic (monobasic) hydroxycarboxylic acid, HX, the following experiments are carried out. 25.0 cm3 of an aqueous solution of HX is titrated against 0.0500 mol dm –3 aqueous sodium carbonate. The end-point of the titration is reached when 25.0 cm 3 of the aqueous sodium carbonate has been added. (a) (i) Write the equation for the complete neutralisatiion of HX with sodium carbonate. [1] (ii) How does the equation show that the concentration of HX is 0.100 mol dm–3. [1] (b) (i) State the acid dissociation constant Ka, for the above reaction in terms of H+ and HX only. [1] (ii) The pH of the aqueous solution of HX is 2.43. Use the pH and the concentration of HX to show that the pKa of the acid is 3.86. All your working must be shown. [2] (c) In an experiment various masses of the sodium salt of the acid, NaX, are added to separate portions of 100 cm 3 of HX with stirring. After each addition the pH of the solution obtained is measured. The results of the experiment are recorded in the table below. P-5 (Planning, Analysis and Evaluation) Yearly Worked Solutions 80 Chemistry A-Level P-5 (i) June 2015/P52 Mass of naX added / g pH 0.00 2.43 0.10 2.81 0.20 3.11 0.30 3.19 0.40 3.41 0.60 3.59 0.80 3.71 1.00 3.81 1.20 3.89 1.50 3.99 2.00 4.11 Plot a graph to show how the pH of the solution varies with the mass of NaX added. Draw the curve of bests fit. 4.2 4.0 3.8 3.6 3.4 pH 3.2 3.0 2.8 2.6 2.4 0 0.2 0.4 0.6 0.8 1.0 1.2 1.4 1.6 1.8 2.0 mass of NaX added / g (ii) (d) (i) [2] Circle one anomalous point on your graph and give a reason for how this could have occurred using the experimental procedure described. [2] The graph shows that a pH of 3.86 is obtained when 1.12 g of NaX is added to 100 cm3 of HX. Remember that pKa of HX is also 3.86. Use this information to calculate the relative molecular mass, Mr, of HX. P-5 (Planning, Analysis and Evaluation) Yearly Worked Solutions 81 Chemistry A-Level P-5 (ii) (e) June 2015/P52 Show your working. [Ar: H, 1.0; C, 12.0; O, 16.0; Na, 23.0] [3] The calculated Mr is subject to small experiment error. Suggest a structure for the organic hydroxycarboxylic acid, HX, that best fits your Mr data. If you have not calculated a value for the Mr, use the value of 104. This is not the correct value. [1] Another method for determining the concentration of the acid HX could be to evaporate a sample of the solution and weigh and solid that remains. Suggest two reasons why this might not be a very good method of finding the mass of solid HX in a sample of the solution. [2] Solution: (a) (i) (ii) (b) (i) Na2CO3 + 2HX 2 NaX + H2O + CO2 aq aq aq ( ) (g) [1] Molar ration of Na2CO3 and HX is 1:2. Since both have equal volume so concentration of HX is 0.1 mol dm –3. [1] H X Ka HX sin ce H X 2 H Ka HX (ii) (c) [1] [H+] [H+] = 10–2.43 = 3.7 + 5 × 10–3 mol dm–3. Ka = Ka pKa pKa = 1.38 × 10–14 = –log (Ka) = 3.86 3.715 103 0.1 2 [2] (i) P-5 (Planning, Analysis and Evaluation) Yearly Worked Solutions 82 Chemistry A-Level P-5 June 2015/P52 [2] (d) (ii) (i) Less mass of NaX is measured. PH = pKa + log 3 8 6 3 8 6 log Acid 0.01 Salt Mr 0.1 x 1.12 Mr 1.12 0.1 l o g x l o g 0.1 Mr = 112 mass of X (salt) = 0.1 mol dm–3 NaX(n) = c × v mass of HX = 112 – 23 = 89 = 90 100 = 0.1 1000 = 0.01 moles [3] (ii) H H O H H or H C C C O H OH (e) H O HO C C C O H H H HX may decomposed during heating. Acid may got evaporate. Acid may spit out P-5 (Planning, Analysis and Evaluation) [1] [2] Yearly Worked Solutions 83 Chemistry A-Level P-5 June 2015/P51 May/June 2015 Paper 51 1. M/J 15/P51/Q1 A saturated aqueous solution of magnesium methanoate, Mg(HCOO) 2, has a solubility of approximately 150 g dm –3 at room temperature. Its exact solubility can be determined by titrating magnesium methanoate against aqueous potassium manganate(VII). During the titration, the methanoate ion, HCOO –, is oxidised to carbon dioxide while the manganate(VII) ion, MnO4–, is reduced to Mn2+. You are supplied with: a saturated aqueous solution of Mg(HCOO)2 aqueous potassium manganate(VII), KMnO4, of concentration 0.0200 mol dm –3. (a) (i) Write the half equations for the oxidation of HCOO –(aq) to CO2(g) and the reduction of MnO4–(aq) to Mn2+(aq) in acid solution. [2] (ii) Using the approximate solubility above, calculate the concentration, in mol dm–3, of the saturated aqueous magnesium methanoate and the concentration of the methanoate ions present in this solution. [Ar: H, 1.0; C, 12.0; 0.16.0; Mg, 24.3] (iii) [2] In order to obtain a reliable titre value, the saturated solution of magnesium methanoate needs to be diluted. Describe how you would accurately measure a 5.0 cm 3 sample of saturated magnesium methanoate solution and use it to prepare a solution fifty times more dilute than the saturated solution. [2] (iv) Before the titration is carried out, dilute sulfuric acid must be added to the magnesium methanoate. Explain why this is necessary and also whether the volume of sulfuric acid chosen will affect the result of the titration. [2] (v) The potassium manganate(VII) is added from a burette into the magnesium methanoate in a conical flask. Describe what you would see when you had reached the end-point of the titration. [1] (vi) 1 mol of acidified MnO4– ions reacts with 2.5 mol of HCOO– ions. 25.0 cm3 of the diluted solution prepared in (iii) required 25.50 cm 3 of 0.0200 mol dm–3 potassium manganite(VII) solution to reach the end-point. Use this information to calculate the concentration, in mol dm–3, of HCOO– ions in the diluted solution. ………. mol dm–3 [1] (vii) Use your answer to (vi) calculate the concentration, in mol dm–3, of the saturated solution of magnesium methanoate, Mg(HCOO)2. Give your answer to three significant figures. ……….mol dm–3 [1] (b) The solubility of magnesium methanoate can be determined at higher temperatures using the same titration. In an experiment to determine how the concentration of saturated magnesium methanoate varies with temperature, name the independent variable and the dependent variable. Independent variable Dependent variable (c) [1] The solubility of magnesium methanoate increases with temperature. P-5 (Planning, Analysis and Evaluation) Yearly Worked Solutions 84 Chemistry A-Level P-5 June 2015/P51 What does this tell you about H for the process below? Mg(HCOO)2(s) Mg2+ (aq) + 2HCOO–(aq) Explain your answer. (d) [2] A student used the same titration method, this time to measure the concentration of a saturated solution of barium methanoate. Explain why the acidification of the solution with dilute sulfuric acid might make the titration difficult to do. [1] Solution: (a) (i) HCOO (aq) + CO2 (g) + H(aq) + 2e- 5 5e + 8H (aq) + MnO (ii) (aq) 2+ Mn(aq) + 4H2O 2 [2] Mg(HCOO)2 Mg2+ + 2HCOO– Mr of Mg(HCOO)2 = 24.3 + (2 × 1.0) + (12.0 × 2) + (16.0 × 2 × 2) = 114.3 Concentration of Mg(HCOO)2 = (iii) (iv) (v) 150 = 1.312 mol dm–3 114.3 Concentration of Mg(HCOO)2 in mol dm–3 = 1.312 Concentration of HCOO– in mol dm–3 = 1.312 × 2 = 2.624 mol dm–3 [2] Use a burette to accurately measure 5 cm 3 of magnesium methanoate. Pour it into a volumetric flask and fill it up to the 250 cm 3 mark with distilled water. [2] + H is needed for the reaction with manganite. If acid is used in excess, then the volume does not matter. [2] Pole pink colour. [1] 0.02 (vi) 25.5 1000 MnO4 5.1 104 mole HCOO– = 5.1 × 10–4 × 2.5 HCOO– in 25 cm3 = 1.28 × 10–3 mole Concentration of solution of HCOO– = 1.28 103 1000 25 = 0.051 mol dm–3 [1] 3 (vii) 1.28 10 250 25 1.28 102 1 2 Mg(HCOO)2 in 5 cm = 6.4 × 10–3 Concentration of Mg(HCOO)2 = 6.4 103 1000 5 = 1.28 mol dm–3 [1] (b) (c) (d) 2. Independent variable: temperature Dependent variable: concentration [1] H will be positive as reaction is endothermic. With increase in temperature position of equilibrium will shift forwards. [2] Barium sulfate precipitate will be formed. [1] M/J 15/P51/Q2 At high temperatures a mixture of the iodine and hydrogen gases reacts to form an equilibrium with gaseous hydrogen iodide. H2(g) + I2(g) 2HI(g) P-5 (Planning, Analysis and Evaluation) Yearly Worked Solutions 85 Chemistry A-Level P-5 (a) (b) June 2015/P51 (i) Write an expression for the equilibrium constant, Kc, based on concentration, for this reaction. [1] (ii) If the starting concentration of both iodine and hydrogen was a mol dm–3 and it was found that 2y mol dm–3 of hydrogen iodide had formed once equilibrium had been established, write Kc in terms of a and y. [1] The experiment for the equilibrium constant from (a)(ii) can be re-written as shown below. y= a Kc 2+ K c [1] dm 3 In an experiment, air was removed from a 1 flask and amounts of hydrogen and iodine gases were mixed together such that their initial concentrations were both a mol dm–3. This mixture was allowed to come to equilibrium at 760 K in the flask. The equilibrium concentration of iodine, (a – y) mol dm–3, was then measured. The experiment was repeated for various initial concentrations, a mol dm–3, and the results were recorded in the table below. (i) Complete the table to give the values of y mol dm–3 to three decimal places. a mol dm–3 0.200 0.500 0.800 1.000 1.500 2.100 2.800 3.400 3.800 4.200 4.900 (a – y) mol dm–3 0.022 0.050 0.252 0.200 0.365 0.570 0.652 0.700 0.867 0.868 1.150 y mol dm–3 0.178 [2] (ii) Plot a graph to show how y mol hydrogen and iodine, a mol dm–3. P-5 (Planning, Analysis and Evaluation) dm–3 varies with initial concentrations of Yearly Worked Solutions 86 Chemistry A-Level P-5 June 2015/P51 [1] (c) (iii) Use your points to draw a line of best fit. (i) Determine the slope of your graph. State the co-ordinate of both points you used for your calculation. Record the value of the slope to three significant figures. co-ordinates of both points used [1] ………..…. …………… slope = ……………… (ii) [2] Use the value of your slope and the equation in (b) to calculate the value of Kc. Your working must be shown. [2] (d) Explain why, for safety reasons, it is necessary to remove air from the 1 dm 3 flask. [1] (e) One of the experiments in (b) was repeated in a 500 cm 3 flask instead of the 1 dm 3 flask. What effect, if any, would this have on the rate of reaction and the value of Kc measured? [2] (f) The reaction of hydrogen and iodine to form hydrogen iodide is exothermic. H2(g) + I2(g) 2HI(g) H = –9.6 kJ mol–1 (i) On your graph, draw and label the line you would expect if the experiment was performed at 1000 K instead of 760 K. [1] (ii) What effect, if any, would be higher temperature have on the value of Kc? [1] P-5 (Planning, Analysis and Evaluation) Yearly Worked Solutions 87 Chemistry A-Level P-5 June 2015/P51 Solution: HI H2 I2 2 (a) (b) (i) Kc = (ii) Kc = (i) [1] 4y 2 a - y [1] 2 a mol dm–3 0.200 0.500 0.800 1.000 1.500 2.100 2.800 3.400 3.800 4.200 4.900 (a–y) mol dm–3 0.022 0.050 0.252 0.200 0.365 0.570 0.652 0.700 0.867 0.868 1.150 y mol dm–3 0.178 0.450 0.548 0.800 1.135 1.530 2.148 2.700 2.933 3.332 3.750 [2] (ii) 3.5 4.6 [1] P-5 (Planning, Analysis and Evaluation) Yearly Worked Solutions 88 Chemistry A-Level P-5 June 2015/P51 (iii) [1] (c) (i) Co-ordinates off both points used (0,0) (4.6, 3.51) y 2 y1 x2 x1 3.5 0 4.6 0 y = 0.761 slope = 0.761 (ii) 0.761 [2] Kc 2 Kc 1.522 0.761 Kc Kc 1.522 0.239 Kc Kc 6.368 K c = 40.6 [2] (d) (e) Hydrogen is explosive with oxygen at high temperature. The reaction rate will increase whereas the value of K c will remain the same. (f) (i) (ii) It will decrease. P-5 (Planning, Analysis and Evaluation) [1] [2] [1] [1] Yearly Worked Solutions Chemistry A-Level P-5 89 November 2014/P52 October/November 2014 Paper 52 1. ON 14/P52/Q1 A solder is an alloy of metals which is used to join other metal pieces together. A specialist solder that can be used to join together pieces of aluminium is made from a mixture by mass of 65% zinc, 20% aluminium and 15% copper. You are to plan an experimental procedure to confirm the composition of a powdered sample of this solder, by adding reagents and then extracting from the mixture each of the following in sequence; (i) the copper metal, (ii) the aluminium as aluminium hydroxide, (iii) the zinc as zinc hydroxide. You are provided with ● a sample of this solder, with approximate mass 4 g, ● 1.00 mol dm–3 sulfuric acid, ● 1.00 mol dm–3 ammonia. No other reagents should be used. Standard laboratory equipment is available including a balance, accurate to two decimal places. (a) Complete the flowchart below to show the order in which the reagents would be added to the solder to allow you to extract and separate the components as copper metal, (Step 1), aluminium hydroxide, (Step 2), and zinc hydroxide, (Step 3). You are reminded that aqueous ammonia contains both the base OH – and the complex-forming molecule NH3. (b) (c) [5] For some of the steps in the procedure you would need to be careful to add an appropriate quantity of a reagent. For each step of your procedure explain why particular quantities of reagent should be chosen Step 1: Step2: Step3: [4] The aluminium hydroxide and zinc hydroxide that have been extracted are difficult to dry so it is better to convert them to their oxides. P-5 (Planning, Analysis and Evaluation) Yearly Worked Solutions 90 Chemistry A-Level P-5 (d) (e) (f) November 2014/P52 Describe how this could be done and how you would make sure that each hydroxide had been completely converted into its oxide. [2] The purpose of the experiment is to con firm the composition of the solder. When the experiment is carried out state ●the measurements that would be taken, ●what you would do to the copper to make sure that the correct value is obtained. [2] If the mass of aluminium oxide obtained was 1.50 g, calculate the mass of aluminium that was present in the solder. ( Ar: Al, 27.0; O, 16.0) [1] Even if the experimental difficulties of extracting all of the copper from the mixture were overcome, it would be difficult to obtain an accurate mass of copper from this experiment. Suggest why [1] Solution: (a) Ammonia form hydrogen bond with water: while trichloromethane only form dipole-dipole forces of attraction. (b) Step 1: Excess sulfuric acid should be used to dissolve the zinc and aluminium , Step 2: Excess aqueous ammonia should be used to precipitate hydroxide and to completely dissolve the zinc hydroxide. Step 3: There should be enough sulfuric acid to neutralize ammonia and precipitate zinc hydroxide but not so much that the zinc hydroxide dissolve. [5] (c) (d) Heat both the hydroxides to constant mass. Measure mass of copper, zinc hydroxide and aluminium hydroxide. The copper should be washed with water and dried. [4] [2] [2] 54 1.5 (e) Mass of Al = (f) 102 =0.794 g The mass of copper is small. P-5 (Planning, Analysis and Evaluation) [1] [1] Yearly Worked Solutions Chemistry A-Level P-5 2. 91 November 2014/P52 ON 14/P52/Q2 The acid dissociation constant, Ka, of a weak monoprotic acid, HA, is to be determined from the measurement of the pH change that occurs when it is titrated with an aqueous solution of sodium hydroxide. 2.70 g of HA was dissolved in distilled water to make exactly 250.0 cm 3 of solution. 25.00 cm3 of the solution was pipetted into a beaker. The pH of the acid in the beaker was measured and recorded in the table below. A burette was then filled with aqueous sodium hydroxide and the 25.00 cm 3 of HA was titrated by adding volumes of the aqueous sodium hydroxide to the beaker as indicated in the table below. After each addition the pH was measured and the value recorded. (a) Plot a graph to show how the pH of the mixture changes with the volume of added aqueous sodium hydroxide as shown in the table. Draw a smooth curve, using the plotted points on your graph, to produce a titration curve for the addition of aqueous sodium hydroxide to the acid HA. [2] P-5 (Planning, Analysis and Evaluation) Yearly Worked Solutions Chemistry A-Level P-5 92 November 2014/P52 (b) Circle any points on the graph that are anomalous and suggest a reason why this might occur. (c) What would be a suitable range of pH values in which an indicator would change colour to identify the end point of this neutralisation? [1] (d) 30.00 cm3 of aqueous sodium hydroxide is required to neutralise 25.00 cm 3 of HA and the equation for the neutralisation is shown. NaOH + HA → NaA + H2O (i) Excluding water, state the three ions or molecules that will be present in the highest concentration when 15.00 cm 3 of aqueous sodium hydroxide has been added to 25.00 cm 3 of HA. [1] (ii) State and explain how the concentrations of these ions or molecules compare. [2] (e) Use your graph to determine the pH obtained when 15.00 cm 3 of aqueous sodium hydroxide is added to 25.00 cm 3 of HA. Use this pH to determine the value of Ka for HA. [3] P-5 (Planning, Analysis and Evaluation) Yearly Worked Solutions 93 Chemistry A-Level P-5 (f) (i) (ii) (g) November 2014/P52 Use your answer to (e) and the initial pH of HA from the table to calculate the concentration of HA in mol dm–3. [2] Calculate the initial concentration of HA, in g dm–3, and use this together with your answer to (f)(i) to calculate the relative molecular mass, Mr, of HA. (Remember that 2.70 g of HA was dissolved in distilled water to make exactly 250.0 cm3 of solution.) [1] Even if the experiment is done very carefully with very accurate apparatus, the answer obtained for the molecular mass of HA is likely to be subject to error. Suggest why. [1] Solution: (a) [2] (b) (c) Point at 12.00 cm 3. Insufficient sodium hydroxide was added. Between 6.5 and 11 P-5 (Planning, Analysis and Evaluation) [2] [1] Yearly Worked Solutions Chemistry A-Level P-5 (d) (e) (i) [2] (1.259 104 )2 1.259 104 = 1.259 × 10–4 pH = -lg[H+] [H+] = 3.89 × 10–3 mol dm3 [H+] = [A-] (3.89 103 ) 2 =0.120 mol dm-3 4 1.259 10 1000 Concentration of HA = 2.7 × = 10.8 g dm-3 250 10.8 Mr of HA = 2(0.12) [HA] = (ii) [1] [ H ][ A ] [ HA] Ka = (g) November 2014/P52 Na+ , A and HA . They will all have the same concentration because half of the HA has been neutralized by NaOH pH = 3.9 (i) (ii) Ka = (f) 94 [3] [2] =45 [1] The graph is drawn by hand and is not very accurate Also, the experiment has not been repeated. [1] P-5 (Planning, Analysis and Evaluation) Yearly Worked Solutions 95 Chemistry A-Level P-5 June 2014/P52 May/June 2014 Paper 52 1. MJ 14/P52/Q1 The liquids trichloromethane and water separate into two immiscible layers when shaken together and allowed to stand. Ammonia can dissolve in both of these layers. The distribution of ammonia between these two solvents is called partition, where the concentration of ammonia in each solvent will be different. The partition coefficient represents the ratio of the distribution. You are to plan an experiment, using a titration with sulfuric acid, to determine the value of the partition coefficient of ammonia between water and trichloromethane at room temperature. The following information gives some of the hazards associated with trichloromethane and ammonia. Trichloromethane: Anaesthetic if inhaled. Dangerously irritating to the respiratory system. Ammonia: An aqueous solution with a concentration of less than 3 mol dm –3 may cause harm to eyes or in a cut. At greater concentrations aqueous ammonia should not be inhaled and it cases irritation to the eyes and skin. You are provided with the following: Trichloromethane Aqueous ammonia of concentration 5.00 mol dm –3 Sulfuric acid, of concentration 0.500 mol dm –3 Distilled water for dilution of aqueous ammonia. (a) Explain why ammonia is likely to be more soluble in water than in trichloromethane. [2] (b) Define the partition coefficient, Kpartition, for ammonia between water and trichloromethane. State whether the partition coefficient you have defined will be greater or less than 1. [2] (c) In the experiment, explain whether it is important that the volumes of water and trichloromethane are the same. [1] (d) Write an equation for the reaction of aqueous ammonia and sulfuric acid. 2 NH3 +H2SO4 (NH4 )2SO4 (e) (f) (g) (h) (i) (i) The partition coefficient for ammonia distributed between water and trichloromethane is approximately 25. Calculate the concentration of aqueous ammonia that should be used so that a 25.0 cm3 sample of the aqueous ammonia layer would require approximately 24.0 – 26.0 cm3 of 0.500 mol dm–3 sulfuric acid for complete neutralization. Then state the factor by which the 5.00 mol dm -3 aqueous ammonia should be diluted to give that concentration. [2] (ii) Describe, in details, how you would dilute 5.00 mol dm –3 aqueous ammonia to make 250 cm3 of aqueous ammonia ready for use in the experiment. [2] Other than the use of eye protection and gloves, state one safety precaution you would take while setting up the experiment. [1] State a suitable indicator for use in the titration of a sample taken from the experiment. Explain your answer. [2] It is unnecessary to titrate both layers of the partition. Explain why it would be better to titrate a simple of the aqueous layer rather than the trichloromethane layer. [1] Once a mean titre has been calculated, outline the steps you would take to calculate the partition coefficient. [2] P-5 (Planning, Analysis and Evaluation) Yearly Worked Solutions 96 Chemistry A-Level P-5 June 2014/P52 Solution: (a) Water can form hydrogen bonds with ammonia whereas trichlomethane has dipole-dipole interactions only. K partition (b) (c) (d) (e) (f) (g) (h) (i) 2. NH3 water NH3 trichloromethane Kpartition will be greater than 1. [1] It is not important since the concentration is independent of the volumes of the solutions. [1] 2NH3 + H2SO4 → (NH4)2 SO4 M1V1 M2V2 (i) n1 n2 0.5 25 M2 25 1 2 M2 = 1 mol dm–3 5.00 mol dm–3 of aqueous ammonia should be diluted by a factor of 5. [2] 3 –3 3 (ii) Pipette 50 cm of the 500 mol dm aqueous ammonia into a 250 cm volumetric flask. Make up to the mark with distilled water. Then shake the flask. Place a bung on top of the flasks containing aqueous ammonia to avoid the inhalation of ammonia. [1] Methyl orange with a pH range from 0 to 4 should be used as the indicator since this is a weak base against strong acid titration reaction. [1] The concentration of ammonia in the aqueous larger, so there is less error in the determination of its concentration. [1] Calculate the moles of ammonia in the aqueous layer, subtract from the original to obtain moles in the trichlormethane. [2] MJ 14/P52/Q2 Nitrogen(II) oxide, NO, can be oxidized by ozone, O 3, in the atmosphere to form nitrogen(IV) oxide, NO2. It is possible to simulate this process in the laboratory to measure the rate at which this reaction takes place. In this experiment, nitrogen(II) oxide is reacted with ozone. Since the concentration of nitrogen(II) oxide, [NO], in the air is very low, specialist equipment is required and [NO] oxide is measured as the number of molecules present in a volume of 1 cm 3. The results obtained from the experiment are shown below. (a) Time/s Concentration of NO/108 molecules cm–3 0 27.0 30 21.9 60 17.7 90 14.4 120 13.2 150 9.45 180 7.66 210 6.21 240 5.03 270 4.08 300 3.31 Use the results obtained to plot a graph to show the relationship between [NO] and more. P-5 (Planning, Analysis and Evaluation) Yearly Worked Solutions Chemistry A-Level P-5 (b) (c) (d) (e) 97 June 2014/P52 [2] On your graph circle the single result that you consider to be the most anomalous. Suggest a reason why anomalous results may occur during the experiment to measure the rate of a reaction. [2] Use construction lines at concentrations of nitrogen(II) oxide equal to 13.5×108 molecules cm –3 and 6.75 × 108 molecules cm–3 to determine the order of reaction with respect to nitrogen(II) oxide. Show the construction lines on your graph and your working. [3] (i) Use your graph to calculate the initial rate of the reaction. (ii) In the reaction between ozone and nitrogen(II) oxide the order of reaction with respect to ozone is 1. In the experiment the initial concentration of ozone used was 4 × 1011 molecules cm–3. Calculate the value of the rate constant for the reaction and give its units. [2] 1 mole contains 6.02 × 1023 particles. P-5 (Planning, Analysis and Evaluation) Yearly Worked Solutions Chemistry A-Level P-5 (f) 98 June 2014/P52 Convert the initial rate in (d)(i) to a value with units of mol dm–3 s–1. (If you have no answer to (d)(i) you may use 3.0 × 106 as the value of the initial rate). [2] The concentration of ozone used in the experiment is considerably greater than the concentration of nitrogen(II) oxide. Explain why this is necessary for the experiment, in order to determine the order with respect to nitrogen(II) oxide. [2] Solution: (a) [2] (b) Point at 120s. Concentration has been measured before the recorded time. P-5 (Planning, Analysis and Evaluation) [2] Yearly Worked Solutions 99 Chemistry A-Level P-5 (c) (d) The half-life is approximately 98s. Because the half-lines are equal, the reaction is first order. (i) Gradient = (e) (f) k [3] 27 0 0.216 0 125 Initial rate = 0.216 ×108 molecules cm–3 s–1 (ii) June 2014/P52 0.216 10 2 1014 cm3 molecules–1 s–1 27 108 4 1011 [2] 8 0.216×108 ×103 =3.59×10-14 mold m–3 s–1 6.02×1023 [2] [2] The ozone concentration should remain constant during the experiment so that the rate depends only on the concentration of NO. [2] P-5 (Planning, Analysis and Evaluation) Yearly Worked Solutions 100 Chemistry A-Level P-5 November 2013/P51 & 52 October/November 2013 Paper 51 & 52 1. O/N 13/P51, O/N 13/P52/Q1 Ammonium nitrate, NH4NO3, is soluble in water (approximately 2.5 mol/100 g at 25°C). The molar enthalpy of solution of a solid is defined as the enthalpy change when one mole of the solid is dissolved in water. NH4NO3 (s) (a) (b) (c) NH+4(aq) NO3- (aq) Hsoln = +26.5 kJ mol-1 (i) Predict how the temperature of water, initially at 25°C would change as ammonium nitrate is dissolved. Explain this prediction in terms of lattice energy and the enthalpy of hydration of ions. Prediction of the temperature change: Explanation: (ii) In the space below, sketch a graph to show your prediction of temperature change with concentration. Use two labelled axes and include an origin. [4] If you were to carry out an experiment to investigate how the temperature change of the solution varies as the concentration changes name: (i) the independent variable (ii) the dependent variable [1] You are to plan an experiment to determine as accurately as possible how the temperature change varies when different solutions are made, each with different concentrations of ammonium nitrate. You are reminded that the approximate solubility of ammonium nitrate is 2.5 mol/100 g at 25°C. The following information gives some of the hazards associated with ammonium nitrate. Ammonium nitrate NH4NO3. Contact with combustible material may cause fire. Explosive when mixed with combustible material. Do not allow the salt to become contaminated with organic matter and do not grind it. Solutions should be diluted to less than 0.5 mol dm –3 for disposal. (d) You should use only standard apparatus found in a school or college laboratory. Draw a diagram of the apparatus and experimental set up you would showing clearly the following: (i) The apparatus used, such as the reaction vessel, and how the thermometer will be positioned in order to measure the temperature of the solution as accurately as possible. (ii) How the apparatus will be insulated. Label each piece of apparatus used, indicating its size or capacity and both the temperature range and the precision of the thermometer. [3] Using the apparatus shown in (c) design an experiment to test your prediction in (a)(ii) of how the temperature change of the solution varies with solutions of different concentration. In addition to the apparatus normally found in a laboratory you are provided with the following materials: a supply of solid ammonium nitrate. distilled (deionized) water. Give a step-by-step description of how you would carry out the experiment to include: (i) The number of experiments you would do, (ii) The temperature measurements you would take, (iii) The volume of water you would use, (iv) A calculation of show the maximum mass of ammonium nitrate you could use for your volume of water in (iii) and a range of masses for the other experiments. [Ar: H, 1.0; N, 14.0; O, 16.0] [4] P-5 (Planning, Analysis and Evaluation) Yearly Worked Solution 101 Chemistry A-Level P-5 (e) (f) November 2013/P51 & 52 State one hazard that must be considered when planning the experiment and describe a precaution that should be taken to keep risks from this hazard to a minimum. You may use the information (c) if you wish. [1] In order to test your prediction in (a)(ii), you would need to plot a graph. In the space below, draw a table with appropriate headings, in which you would record all your experimental data and calculated values necessary for the construction of the graph. The headings must include the appropriate units. [2] Solution: (a) (i) Prediction of the temperature change: The temperature would decrease. Explanation: The lattice energy is more exothermic than the sum of the enthalpies of hydration. (ii) 25 Temperature /o C Concentration / mol /100g of water [4] (b) (c) (i) the independent variable: concentration (ii) the dependent variable: temperature change (i) & (ii) [1] Thermometer Range -10- 110oC o precise upto 0.1 C Lid 250 cm plastic cup 3 Lagging Water (to which NH4 NO3 is to be added) [3] (d) (i) (ii) (iii) (iv) Measure out five different masses of solid ammonium nitrate between 20100 grams. To the plastic cup, add 50 cm 3 of distilled water, using a measuring cylinder. Measure the initial temperature of water using the thermometer and then add the measured mass of ammonium nitrate. Record the final temperature. Repeat experiment for other masses. P-5 (Planning, Analysis and Evaluation) Yearly Worked Solution 102 Chemistry A-Level P-5 November 2013/P51 & 52 2.5 mol of NH4NO3 dissolves in 100 cm 3 water. x mol dissolve in 50 cm3 water x 2.5 1.25 mol 2 Mr of NH4NO3 = 28 + 4 + 48 Maximum mass that dissolves (e) (f) = 80 = moles × Mr = 1.25 × 80 = 100 g. [4] Ammonium nitrate may cause a fire or explosion so it must not be ground up. Mass of NH4NO3 Mass of water /g Initial Temperature /°C Final Temperature /°C [1] Concentration of NH4NO3 /mol/100g [2] 2. O/N 13/P51, O/N 13/P52/Q2 The solubility of hydrated sodium sulfate, Na2SO4·10H2O, in water increases with temperature. At a temperature between 25°C and 70°C there is a transition and the solubility becomes that of Na2SO4. The units of solubility are grams per one hundred grams of water, g/100 g water. An experiment was carried out to investigate this solubility and determine the transition temperature between the two forms of sodium sulfate. An empty boiling tube was weighed and the mass recorded. Some distilled water was added to the boiling tube and the new mass recorded. A small sample of hydrated sodium sulfate was added and this new mass recorded. The boiling tube was carefully heated with stirring until all the solid had dissolved. The apparatus was cooled slowly while constantly stirring and the temperature recorded when the first crystals appeared in the tube. (a) The results of several of these experiments are recorded below. Process the results in the table to calculate the solubility, in g/100 g water, of the sodium sulfate for each of the temperatures listed. Record these values to two decimal places in the additional columns of the table. You may use some or all of the columns. Label the columns you use. For each column you use include units where appropriate and an expression to show how your values are calculated. Use the column headings A to H for these expression (e.g. A–B). A B C D E Experiment number Mass of boiling tube /g Mass of boiling of tube + water /g Mass of boiling tube + water + solid /g Crystallising temperature /°C 1 10.20 35.20 36.45 0.0 2 10.35 30.35 31.60 10.0 3 10.10 35.10 40.10 20.0 P-5 (Planning, Analysis and Evaluation) F G H Yearly Worked Solution 103 Chemistry A-Level P-5 November 2013/P51 & 52 4 9.80 29.20 36.96 30.0 5 9.95 32.95 44.06 40.0 6 9.90 34.90 46.35 50.0 7 9.70 30.70 40.32 60.0 8 10.45 30.45 39.55 70.0 9 10.05 35.05 46.30 80.0 10 10.10 40.10 53.45 90.0 [3] (b) (c) (d) Plot a graph to show the variation of solubility (y-axis) with temperature (x-axis). Draw two curves of best fit and extrapolate to locate their intersection at the transition temperature. [4] From your graph, state the transition temperature and the solubility at which it occurs. [2] (i) In an attempt to repeat the 4th experiment using the same masses of water and solid, the temperature was mistakenly read and recorded before crystals P-5 (Planning, Analysis and Evaluation) Yearly Worked Solution 104 Chemistry A-Level P-5 (e) (f) November 2013/P51 & 52 appeared. Place a cross on your graph to represent the point that would have been obtained. (ii) If this was a valid point, which effect would this have on your transition temperature? Explain your answer. [2] It was found that all the mass recordings in columns C and D had been made with a balance that had been zeroed incorrectly and they should all have been 0.3 g smaller. The mass recorded in column B can be considered to be accurate. Using the corrected masses from experiment 6 calculate the new value of the solubility. By comparing this with the original solubility value for experiment 6 calculate the percentage error difference. [2] From the pattern of solubility demonstrated by your graph, predict and explain whether the dissolving of the two forms of sodium sulfate in water are exothermic or endothermic reactions. Prediction for Na2SO4 · 10H2O Explanation Prediction for Na2SO4 Explanation [2] Solution: (a) Use the column headings A to H for these expression (e.g. A–B). A B Experiment Mass of number boiling tube /g 1 2 3 4 5 6 7 8 9 10 10.20 10.35 10.10 9.80 9.95 9.90 9.70 10.45 10.05 10.10 C D E F G H Mass of Mass of Crystallising Mass Mass F ×100 / Solubility boiling of boiling tube temperature of solid of G tube + + water + °C (D–C)/ water g/100 g water water /g solid /g g (C–B)/g 35.20 30.35 35.10 29.20 32.95 34.90 30.70 30.45 35.05 40.10 36.45 31.60 40.10 36.96 44.06 46.65 40.32 39.55 46.30 53.45 0.0 10.0 20.0 30.0 40.0 50.0 60.0 70.0 80.0 90.0 1.25 1.25 5.00 7.76 11.11 11.75 9.62 9.10 11.25 13.35 25.00 20.00 25.00 19.40 23.00 25.00 21.00 20.00 25.00 30.00 5.00 6.25 20.00 40.00 48.30 47.00 45.81 45.50 45.00 44.50 [3] (b) P-5 (Planning, Analysis and Evaluation) Yearly Worked Solution 105 Chemistry A-Level P-5 November 2013/P51 & 52 55.00 50.00 49.50 45.00 40.00 35.00 30.00 / sobility g/100g water 25.00 20.00 15.00 10.00 5.00 0.00 0.0 10.0 20.0 30.0 40.0 42.0 50.0 60.0 70.0 80.0 90.0 o Temperature / C (c) (d) (e) [4] Transition temperature = 42.0°C Solubility at 42.0°C = 49.5 g/100 g water [2] (i) (ii) Transition temperature would be higher as intersection of curves would be at higher temperature. [2] Mass of water = 25.00 – 0.30 = 24.70 g. Mass of solid = (46.65 – 0.3) – (39.00 – 0.3) = 11.75 g Solubility % error P-5 (Planning, Analysis and Evaluation) = 11.75 100 24.70 = 47.6 g / 100 g water = (47.6 47.0) 100 47.0 = 1.28% [2] Yearly Worked Solution Chemistry A-Level P-5 (f) 106 Prediction for Na2SO4·10H2O: Dissolving is endothermic Explanation: Solubility increases with increase in temperature. Prediction for Na2SO4: Dissolving is exothermic Explanation: Solubility is decreased by increasing temperature. P-5 (Planning, Analysis and Evaluation) November 2013/P51 & 52 [2] Yearly Worked Solution 107 Chemistry A-Level P-5 November 2013/P53 October/November 2013 Paper 53 1. O/N 13/P53/Q1 Air, which is 99% nitrogen and oxygen, is slightly soluble in water. At 25°C a saturated solution of air in water has a concentration of 19 cm 3 dm–3. When water is boiled all the dissolved air is boiled out of solution. (a) (i) The molar enthalpies of solution for nitrogen and oxygen are: Hsoln N2 = –1.04 kJ mol–1 and Hsoln O2 = –1.20 kJ mol–1 Predict how the solubility of air in water will change as the temperature is increased. Explain this prediction using Le Chatelier’s principle in terms of the equilibrium between air and the aqueous solution as the temperature is increased. Prediction: Explanation: (ii) Display your prediction in the form of a sketch graph for the solubility of air between 0°C and 100°C, labelling clearly the axes. Include labelled points to indicate the solubility of air at 25°C and 100°C. 0 0 (b) [4] If you were to carry out an experiment to investigate ow the solubility of air varies as the temperature increases name. (i) the independent variable: (ii) the dependent variable: [1] Solution: (a) (i) Prediction: Solubility of air in water will decrease with increase in temperature. Explanation: As shown by the negative Hsol values above, dissolving of air is an exothermic process, therefore an increase in temperature will shift the equilibrium in reverse direction, decreasing the solubility at air. (ii) 19 Solubility / cm 3 dm -3 0 0 25 o Temperature / C 100oC [4] (b) (i) (ii) the independent variable: temperature the dependent variable: solubility of air P-5 (Planning, Analysis and Evaluation) [1] Yearly Worked Solutions 108 Chemistry A-Level P-5 2. November 2013/P53 O/N 13/P53/Q2 When heated, aqueous hydrogen peroxide, H 2O2, decomposes to form oxygen and water. 2H2 O2(aq) 2H2O(I) + O2(g) The decomposition can also occur at room temperature if a suitable catalyst is added. Both of the solids, manganese(IV) oxide and lead(IV) oxide, will catalyse the decomposition. The following information gives some of the hazards associated with manganese(IV) oxide and lead(IV) oxide. Manganese(IV) oxide: Poisoning can occur by inhalation or swallowing the powder. Lead(IV) oxide: Poisoning can occur by inhalation or swallowing the powder. The powder can also cause skin irritation. You are provided with a 0.300 mol dm –3 solution of hydrogen peroxide and a syringe with a capacity of 100 cm 3. (a) Provide the following information about experiments you would carry out to collect oxygen from the decomposition of hydrogen peroxide and to determine, using identical masses, which of the two catalysts was the most efficient at promoting this decomposition. a fully labelled diagram of the apparatus to be used that would ensure that no oxygen would be lost when the experiment was carried out. a calculation of the maximum volume in cm 3 of the aqueous hydrogen peroxide that could be used such that the oxygen produced would not exceed the volume of the syringe. a statement of the measurements you would take that would allow you to say which of the catalysts was most efficient. The molar volume of a gas at 25°C is 24.0 dm 3. Please continue into the space provided on the next page if necessary. [6] (b) What other feature of the catalyst should be controlled? [1] (c) If one of the experiments takes 2 minutes to complete, draw a sketch graph with labelled axes showing how the volume of oxygen produced will vary with time between 0 and 3 minutes. [2] (d) State the hazards that might be encountered when using the solids required in this experiment and give the one essential precaution you would take to make sure these chemicals were handled safely during the experiments. [1] Solution: (a) Catalyst Thistle Funnel Tightly fitted bung Gas Syringe Conical flask H2O2 (aq) Start stopwatch immediately after mixing catalyst and H2O2(aq) and note time taken for 30.0 cm3 of oxygen to be evolved. Maximum volume of oxygen = 100 cm3 100 Moles of oxygen = 0.00416 moles 24000 Moles of H2O2 = 2 × 0.00416 P-5 (Planning, Analysis and Evaluation) Yearly Worked Solutions 109 Chemistry A-Level P-5 Volume of H2O2 (b) (c) November 2013/P53 = 0.00833 moles moles = conc. 0.00833 = 0.300 = 0.02777 dm3 = 27.8 cm3 [6] [1] Surface area of catalyst. Volume of Oxygen/cm 3 0 1 2 3 Time / mins (d) 3. [2] [1] Lead(IV) oxide causes skin irritation. Wear safety gloves. O/N 13/P53/Q3 In the fractional distillation of two liquids which are miscible (dissolve in each other) in all proportions the more volatile of the two will distil first. At any temperature the composition of the vapour in equilibrium with the liquid has a higher proportion of the more volatile component which has a lower boiling point. An experiment was carried out to investigate the boiling points of mixture of tetrachloromethane, CCl4, and tetrachloroethane, C2H2Cl4. A convenient method for representing the composition of the mixtures, both liquid and vapour, is to use the concept of mole fraction. For example, if the liquid mixture consists of 0.15 mole of liquid A and 0.35 mole of liquid B, the mole fraction A is (a) (b) (c) 0.15 i.e. 0.30. (0.15 0.35) The results of several of these experiments are recorded below. Temperature/ °C 120.0 108.5 99.3 93.0 89.3 83.3 79.9 76.0 Mole fraction CCl4 liquid 0.000 0.100 0.200 0.300 0.400 0.600 0.800 1.000 Mole fraction CCl4 vapour 0.000 0.469 0.552 0.800 0.861 0.918 0.958 1.000 Calculate the relative molecular masses (M,s) of CCl4 and C2H2Cl4. [Ar: H, 1.0; C, 12.0; Cl, 3.5] [1] (i) The vapour from the equilibrium at 108.5°C was analysed and found to consist of 7.22 g of CCl4 and 8.92 g of C2H2Cl4. Show clearly by calculation that this gives a mole fraction of 0.469 for CCl4 vapour. (ii) The vapour from the equilibrium at 83.3°C was analysed and found to consist of 14.14 g of CCl4 and 1.38 g of C2H2Cl4. Show clearly by calculation that this gives a mole fraction of 0.918 for CCl4 vapour. [2] On the same axes, plot two graphs, one for the liquid and one for the vapour, to show the variation in temperature (y-axis) with the mole fraction compositions (x-axis) of both the liquid and the vapour. P-5 (Planning, Analysis and Evaluation) Yearly Worked Solutions Chemistry A-Level P-5 110 November 2013/P53 Draw two lines of best fit. Each line could be either a curved line or a straight line. [4] (d) (e) (f) (g) Circle and label on the graph the point you consider to be the most anomalous. Do not circle or label any other point. If it is assumed that the analysis was carried out accurately, suggest a reason why the point might be anomalous. [2] By drawing an appropriate construction line on your graphs, determine the mole fraction of CCl4 in the vapour which is in equilibrium with a liquid with a mole fraction of 0.500 CCl4. [2] The temperatures were measured using a thermometer calibrated in 0.1°C graduations. If the thermometer had only been calibrated in 1.0°C graduations, calculate the percentage error which would result from the determination of the boiling points of each of the two pure liquids. [2] (i) Use your graphs to state whether CCl4 CCl4 or C2H2Cl4 distills first from a mixture of the two liquids. (ii) Explain your answer (i) [2] P-5 (Planning, Analysis and Evaluation) Yearly Worked Solutions 111 Chemistry A-Level P-5 November 2013/P53 Solution: (a) (b) Mr of CCl4 = 12 + 4 (35.5) = 154 Mr of C2H2Cl4 = (12)2 + 2(1) + 4(35.5) = 168 (i) 8.92 0.0531 mol 168 moles of C2H2Cl4 = mole fraction CCl4 = (ii) [1] 7.22 moles of CCl4 = 0.0469 mol 154 moles of CCl4 = 0.0469 0.469 mol 0.0469 0.0531 14.14 0.0918 mol 154 moles of C2H2Cl4 = 1.38 0.00821 mol 168 mole fraction CCl4 = 0.0918 0.9178 0.918 mol 0.0918 0.00821 [2] (c) P-5 (Planning, Analysis and Evaluation) Yearly Worked Solutions 112 Chemistry A-Level P-5 November 2013/P53 130.0 120.0 110.0 o Temperature / C 100.0 90.0 80.0 × 70.0 0.000 0.200 0.400 0.600 0.800 mole fraction 1.000 [4] [4] (d) (e) Anomalous point is at T = 99.3°C (vapour curve).a It may be due to analysis being made at a temperature that was too low. 0 : 892 (f) For C2H2Cl4 : For CCl4 : (i) (ii) CCl4. The vapour produced when the mixture is heated, contains a greater proportion of CCl4 than the liquid. [2] (g) 0.5 100 0.417% 12.0 0.5 100 0.658% 76 P-5 (Planning, Analysis and Evaluation) [2] [2] [2] [2] Yearly Worked Solutions 113 Chemistry A-Level P-5 June 2013/P52 May/June 2013 Paper 52 1. M/J 13/P52/Q1 Calcium hydroxide, Ca(OH)2, is slightly soluble in water, approximately 1 g dm –3 at 25°C. The molar enthalpy of solution of a solid is defined as the enthalpy change when one mole of the solid dissolves in water. (a) (i) predict how the solubility of calcium hydroxide in water changes as the temperature is increased. Explain this prediction using i.e. Chaltelier’s Principle in terms of the equilibrium between the solid calcium hydroxide and the aqueous solution, as show in the equation below. Ca(OH)2(s) Ca2+ (as) + 2OH–(aq) (ii) Hsoln = –16.7 kJ mol–1 Predict how the solubility will change as the temperature is increased. Explanation: Display your prediction in the form of a sketch graph between 0°C and 100°C. Label the axes with units and give numerical values to ensure that the line clearly shows the solubility at 25°C. 0 0 (b) (c) [4] If you were to carry out an experiment to investigate how the solubility of calcium hydroxide varies as the temperature increases name, (i) the independent variable, (ii) the dependent variable [1] You are to plan an experiment to determine as accurately as possible the concentration of a saturated aqueous solution of calcium hydroxide by titration with hydrochloric acid. You are reminded that the approximate solubility of calcium hydroxide is 1 g dm –3 at 25°C. The following information gives some of the hazards associated with calcium hydroxide and hydrochloric acid. The following information gives some of the hazards associated with calcium hydroxide and hydrochloric acid. Hydrochloric acid, HCl (aq) Corrosive; Causes burns: Irritating to respiratory system. Solutions equal to or more concentrated than 6.5 mol dm –3 are corrosive. Solutions equal to or more concentrated than 2 mol dm –3 but more dilute than 6.5 mol dm–3 are said to be irritant. Calcium hydroxide, Ca(OH)2(s) Irritant; risk of serious damage to eyes. You are provided with the following materials: 250 cm3 of saturated calcium hydroxide, 50 cm3 of 2.00 mol dm–3 hydrochloric acid Give a step-by-step description of how you would carry out the experiment by including: (i) a balanced equation for the reaction between aqueous calcium hydroxide and hydrochloric acid, P-5 (Planning, Analysis and Evaluation) Yearly Worked Solution 114 Chemistry A-Level P-5 (ii) (iii) (iv) (v) (vi) (vii) (d) June 2013/P52 a list of apparatus with volumes where appropriate. a suitable indicator with relevant colours. a calculation of the approximate concentration of a saturated aqueous solution of calcium hydroxide in mol dm –3 at 25°C, [Ar : H, 1.0; O, 16.0; Ca, 40.1] a detailed method for the dilution of the hydrochloric acid such that when a titration is carried out the two reacting volumes are approximately equal at the end-point. The relevant calculations and reasoning must be shown in full. a detailed method for carrying out sufficient titrations to allow an accurate endpoint to be obtained. an outline calculation to show how the results are to be used to determine the accurate concentration of the aqueous calcium hydroxide. [Ar: Cl, 35.5]. State one hazard that must be considered when planning the experiment and describe a precaution that should be taken to keep risks from this hazard to a minimum. You should use the information in (c). [2] Solution: (a) (i) Solubility will decrease as the temperature is increased. Explanation: The forward reaction being exothermic is not favoured by high temperatures, therefore increase in temperature will shift the above equilibrium in backward direction, decreasing the solubility of calcium hydroxide. (ii) Solubility/gdm -3 1 0 0 10 20 25 30 40 50 60 70 80 90 100 Temperature /oC [4] (b) (c) (i) (ii) the independent variable: Temperature the dependent variable: Solubility of calcium hydroxide. (i) Ca(OH)2 +2HCl CaCl2 +2H2O (ii) 250 cm3 titration flask 50.0 cm3 burette 25.0 cm3 pipette Use methyl orange as indicator which shows red colour in acidic medium and yellow colour in alkaline medium. Concentration of Ca(OH)2 at 25°C = 1 g dm–3. Mr at Ca(OH)2 = 40.1 + 2(16) + 2(1) = 74.1 (iii) (iv) Moles = Mass 1.0 = 0.0135 moles Mr 74.1 Concentration = (v) [1] moles 0.0135 = 0.0135 mol dm–3 volume 1 Moles of HCl: moles of Ca(OH)2 = 2 : 1 For the reacting volumes to be equal, ratio of their concentrations must also be 2:1 Formula for dilution: M1 v1 M2 v 2 2.0 v1 (2 0.0135) 250 P-5 (Planning, Analysis and Evaluation) Yearly Worked Solution 115 Chemistry A-Level P-5 June 2013/P52 v1 3.375 cm3 3.38 cm3 (vi) (vii) Pipette out 3.38 cm 3 of 2.0 mol dm–3 hydrochloric acid and transfer it to a dilution flask of 250 cm 3 capacity. Fill the flask upto the mark with distilled water and shake well. The solution obtained has a concentration of 0.027 mol dm –3. Use a pipette to transfer 25.0 cm 3 of the Ca(OH)2 solution to a titration flask and add a few drops of indicator to it. Now fill a burette with the HCl solution prepared and gradually. Add it to the Ca(OH)2 solution until end point is reached. Note the volume of HCl added. Repeat the titration three times to find the average titre. Let average titre = x cm3 x 0.027 moles. 1000 Moles of HCl = 1 x 0.027 moles Moles of Ca(OH)2 = 2 1000 Concentration of Ca(OH)2 (d) 2. = = 1 x 1000 0.027 2 1000 25 = 0.027 x mol dm–3 50 moles volume [8] 2.00 mol dm–3 hydrochloric acid is an irritant. Eye protection, for example goggles, be worn, Wear gloves. should [2] M/J 13/P52/Q2 Hydrated copper (II) sulfate can be represented as CuSO 4 × H2O where × is the number of molecules of H2O for each CuSO4. When the compound is heated, it loses the molecules of water leaving anhydrous copper (II) sulfate. A suggested equation is: CuSO4 H2O(s) CuSO4(s) + ×H2O(g) An experiment is carried out to attempt to determine the value of x. An open crucible is weighed and the mass recorded. A sample of hydrated cooper (II) sulfate is added to the crucible and the new mass recorded. The crucible with hydrated copper (II) sulfate is heated strongly five minutes and allowed to cool back to room temperature. The crucible with the contents is then reweighed and the mass recorded. (a) Calculate the relative formula mases, Mr, of CuSO4 and H2O. [Ar: H, 1.0; O, 16.0; S, 32.1; Cu, 63.5] [1] (b) The results of several of these experiments are recorded below. Process the results in the table to calculate both the number of moles of anhydrous copper (II) sulfate and the number of moles of water. Record these values in the additional columns of the table. You may use some or all of the columns. Masses should be recorded to two decimal places, while the numbers of moles should be recorded to three significant figures. Label the columns you use. For each column you use include units where appropriate and an expression to show how your values are calculated. You may use the column headings A to G for these expressions (e.g. A–B) P-5 (Planning, Analysis and Evaluation) Yearly Worked Solution 116 Chemistry A-Level P-5 A Mass of crucible /g 15.20 15.10 14.95 15.15 15.05 14.90 14.92 15.30 15.07 15.01 (c) B Mass of crucible + CuSO4 ×H2O /g 16.76 16.90 16.95 17.25 17.32 17.24 17.42 17.99 17.96 18.09 C Mass of crucible + CuSO4 /g June 2013/P52 D E F G 16.20 16.25 6.23 16.49 16.47 16.43 16.52 17.02 16.92 16.98 [2] Plot a graph to show the relationship between the number of moles of anhydrous copper (II) sulfate, CuSO4 (x-axis), and the number of moles of water (y-axis). Draw the line of best fit. It is recommended that you do not include the origin in your choice of scaling. P-5 (Planning, Analysis and Evaluation) Yearly Worked Solution 117 Chemistry A-Level P-5 June 2013/P52 [3] Circle and label on the graph any point(s) you consider to be anomalous. For each anomalous point gave a different reason why it is anomalous clearly indicating which point you are describing. [3] Determine the slope of the graph. You must mark clearly on the graph any construction lines and show clearly in your calculation how the intercepts were used in the calculation of the slope. [3] Comment on the reliability of the data provided in (b). [1] (i) Use the value of the slope of your graph calculated in (e) to suggest the correct formula for hydrated copper (II) sulfate. (ii) Explain your answer to (i) [2] (d) (e) (f) (g) Solution: (a) Mr of H2O Mr of CuSO4 = = 18.0 159.6 [1] (b) A B C D E F G Mass of crucible /g Mass of crucible + CuSO4 ×H2O /g Mass of crucible + CuSO4 /g Mass of CuSO4 /g (C–A) Mass of H2O /g (B–C) Moles of CuSO4 Moles of H2O D /mol 159.6 E /mol 18.0 15.20 16.76 16.20 1.00 0.56 0.00627 0.0311 15.10 16.90 16.25 1.15 0.65 0.00721 0.0361 14.95 16.95 6.23 1.28 0.72 0.00802 0.0400 15.15 17.25 16.49 1.34 0.76 0.00840 0.0422 15.05 17.32 16.47 1.42 0.85 0.00890 0.0472 14.90 17.24 16.43 1.53 0.81 0.00959 0.0450 14.92 17.42 16.52 1.60 0.90 0.0100 0.0500 15.30 17.99 17.02 1.72 0.97 0.0108 0.0539 15.07 17.96 16.92 1.85 1.04 0.0116 0.0578 15.01 18.09 16.98 1.97 1.11 0.0123 0.0617 [2] (c) P-5 (Planning, Analysis and Evaluation) Yearly Worked Solution 118 Chemistry A-Level P-5 June 2013/P52 moles of H2O/mol 0.0800 0.0700 0.0600 0.0584 0.0500 0.0400 0.0140 0.0130 0.0120 0.0116 0.0110 0.0100 0.0090 0.0080 0.0075 0.0070 0.0300 0.0060 0.0375 moles of CuSo4/mol [3] (d) (e) Point 5: The anhydrous CuSO4 had decomposed/prior to heating the crucible was wet. Point 6: All of the water was not driven off the copper sulphate crystals. = (f) (g) [3] 0.0584 0.0300 = 0.0116 0.006 0.0284 0.0056 = 5.07 [3] The data obtained is reliable because most of the points lie on the line and there are only a few anomalies. [1] (i) CuSO4 · 5H2O (ii) The slope of the graph is the ratio H2O : CuSO4 and it is 5 : 1 therefore x = 5. [2] P-5 (Planning, Analysis and Evaluation) Yearly Worked Solution Chemistry A-Level P-5 119 November 2012/P52 October/November 2012 Paper 52 1. O/N 12/P52/Q1 There are three oxides of lead, PbO, PbO2 and Pb3O4, all of which can be reduced to metallic lead by hydrogen. The following information gives some of the hazards associated with these compounds. Lead oxides Lead(II) oxide (PbO) Lead(IV) oxide (PbO2) Dilead(II) lead(IV) oxide (Pb3O4) Toxic Dangerous for the environment Harmful by inhalation and if swallowed. Danger of cumulative effects. Hydrogen Extremely flammable. Readily forms an explosive mixture with air. Mixtures between 4 and 74% by volume are explosive. An unknown sample of an oxide of lead can be identified by investigating the molar ratio of oxygen atoms to lead atoms. You are to plan an experiment to investigate the molar ratio of oxygen atoms to lead atoms in the oxide sample. Your plan should result in a correct identification of the oxide. (a) (b) Calculate the number of moles of oxygen atoms that combine with one mole of lead atoms in each of the three oxides. [2] Draw a sketch graph to show how the number of moles of oxygen atoms varies with the number of moles of lead for lead(II) oxide, PbO. Draw two more sketch graphs to show this relationship for the other two oxides. Label clearly each axis and each graph. c (c) (d) (e) [2] In the experiment you are about to plan, identify the following. (i) the independent variable (ii) the dependent variable [1] Draw a diagram of the apparatus and experimental set up you would use to determine the chemical formula of the oxide. Your apparatus should use only standard items found in a school or college laboratory and should show clearly (i) how the hydrogen gas needed for the reduction is prepared, naming the chemicals (reagents) to be used, (ii) how the oxide of lead will be heated, (iii) how any excess hydrogen is dealt with safely. Label each piece of apparatus used. [3] Using the apparatus shown in (d), design a laboratory experiment which will enable you to determine the chemical formula of the oxide. Give a step-by-step description of how you would carry out the experiment by (i) stating a suitable mass of the oxide of lead, (ii) stating how you would ensure that the decomposition is complete, P-5 (Planning, Analysis and Evaluation) Yearly Worked Solutions 120 Chemistry A-Level P-5 November 2012/P52 (iii) showing by calculation the minimum volume of hydrogen, measured at 25°C, that would be needed to reduce the mass of oxide of lead stated in (i) above. For calculation purposes, you may assume that the oxide of lead is PbO, (iv) stating how you would use your results to reach a conclusion. [Ar: H, 1.0; O, 16.0; Pb, 207.0; the molar volume of a gas at 25 °C is 24.0 dm 3] [4] State one hazard that must be considered when planning the experiment and describe a precaution that should be taken to minimise the risk from this hazard. [1] Draw up a table with appropriate headings to show the data you would record when carrying out your experiments and the values you would calculate in order to determine graphically the formula of the oxide. The headings should include appropriate units. [2] (f) (g) Solution: (a) PbO 1:1 PbO2 1:2 3 Pb3O4 1:1.33 4 [2] (b) PbO 2 Pb 3O2 Moles of O2 PbO 0 0 Moles of Pb [2] (c) (i) (ii) moles of lead moles of oxygen [1] (d) HCL [3] Zn (e) (i) (ii) (iii) Take 2g lead oxide Keep re-heating until there is a constant volume of gas in the syringe and mass become constant. PbO + H2 Pb + H2O 2g x P-5 (Planning, Analysis and Evaluation) Yearly Worked Solutions 121 Chemistry A-Level P-5 November 2012/P52 4 = 0.09 223 1:1 = 0.09 × 24000 cm = 204 cm3 1 mole of H2 reduces one of lead oxide by above stoichiometric equation. By calculating the number of moles of lead remaining and subtracting it from the initial mass, we obtain oxygen mass. The plot a graph. [4] Moles = (iv) (f) Lead oxide is toxic if inhaled so wear a mask when performing the experiment. [1] (g) Mass of oxide (g) Mass of lead (g) Mass of oxygen (g) Moles of oxygen Moles of lead [2] 2. O/N 12/P52/Q2 In aqueous solution, glucose can be slowly hydrolysed. The reaction appears to be first-order with respect to the glucose. As the hydrolysis proceeds, samples of the glucose solution can be analysed at regular intervals and the concentrations recorded. If the reaction is first-order, the following equation can be used to verify this. log10 a – log10 (a-x) = kt where a is the initial concentration of glucose, x is the decrease in the concentration of the glucose, a-x is the glucose concentration at any time t and k is a constant. A plot of log10 (a-x) against time will be linear for a first-order reaction and the slope will be equal to –k. (a) The experimentally determined values of such a hydrolysis experiment carried out at 298 K are recorded below. You should use a value of 1.000 mol dm –3 for a. Process the results in the table to enable you to plot a graph of log 10 (a-x) against time t. Record these values to three significant figures in the additional columns of the table. Label the columns you use. For each column you use, include units where appropriate and an expression to show how your values are calculated. You may use the column headings A to D in these expressions (e.g. A-B). A B 0 decrease in the glucose concentration / mol dm–3 0.000 30 0.101 60 0.193 100 0.259 130 0.370 time/min P-5 (Planning, Analysis and Evaluation) C D Yearly Worked Solutions 122 Chemistry A-Level P-5 180 0.469 210 0.551 240 0.573 270 0.617 300 0.655 November 2012/P52 [2] (b) (c) (d) Present the data calculated in (a) in graphical form. Draw the line of best fit. In plotting this graph, it is necessary to show an origin for both axes. Remember that the values of log10 (a-x) are negative. [3] Circle and label on the graph in (b) any point(s) you consider to be anomalous. For each anomalous point give a different reason why it is anomalous clearly indicating which point(s) you are describing. [3] Comment on the reliability of the data provided in (a). P-5 (Planning, Analysis and Evaluation) [1] Yearly Worked Solutions 123 Chemistry A-Level P-5 (e) (f) (g) November 2012/P52 Determine the slope of the graph. Mark clearly on the graph any construction lines and show clearly in your calculation how the intercepts were used in the calculation of the slope. Record the value of the slope to three significant figures with appropriate units. [3] Do the results and your graph confirm the relationship log10 a – log10 (a-x) = kt? Explain your answer. [1] On your graph, draw another line to show how an increase in temperature would affect your results. [2] Solution: (a) A B C D time/min decrease in the glucose concentration / mol dm–3 (a–x) (1–B) (mol/dm3) Log c 0 0.000 1.00 0.00 30 0.101 0.899 –0.0462 60 0.193 0.807 –0.0931 100 0.259 0.741 –0.130 130 0.370 0.630 –0.201 180 0.469 0.531 –0.275 210 0.551 0.449 –0.348 240 0.573 0.427 –0.370 270 0.617 0.383 –0.417 300 0.655 0.345 –0.462 (b) P-5 (Planning, Analysis and Evaluation) Yearly Worked Solutions 124 Chemistry A-Level P-5 50 0 × 100 150 200 November 2012/P52 250 300 × -0.1 × × -0.2 × × log C -0.3 × × (2.60,-0.4) -0.4 × × -0.5 (c) (d) (e) decreased Temperature At t = 100 min recorded time is later than sample withdrawn. At t = 210 min recorded time is earlier than sample withdrawn. The data is reliable as straight line through the origin is formed and there are very few anomalous points. (50, – 0.075) (260, – 0.4) y2 – y x2 – x –0.4 – (–0.075) = = –0.00155 min–1 260 – 50 The relationship is confirmed as a straight line through the origin is produced. m= (f) P-5 (Planning, Analysis and Evaluation) Yearly Worked Solutions 125 Chemistry A-Level P-5 June 2012/P52 May/June 2012 Paper 52 1. M/J 12/P52/Q1 When ammonium nitrate(V), NH4NO3, is heated it decomposes completely into nitrogen(I) oxide, N2O, and water vapour, H2O, which if allowed to cool will condense to liquid water. The stoichiometric equation for this decomposition is NH4NO(s) → N2O(g) + 2H2O(l). The following information gives some of the hazards associated with ammonium nitrate(V). Ammonium nitrate(V) NH4NO3 Oxidising: Contact with combustible material may cause fire. Explosive when mixed with combustible material. Do not allow the salt to become contaminated with organic matter and do not grind it. You are to plan an experiment to investigate the molar ratio of nitrogen(I) oxide and ammonium nitrate(V) at 25°C, and confirm that it remains unchanged as the mass of ammonium nitrate(V) changes. (a) (i) (ii) (iii) (b) (c) (d) Predict quantitatively how the number of moles of nitrogen(I) oxide varies as the number of moles of ammonium nitrate(V) increases, if the products are measured at room temperature 25 °C. Predict quantitatively how the sum of the number of moles of water vapour and nitrogen(I) oxide varies as the number of moles of ammonium nitrate(V) increases, if the products are measured at 110 °C. Display both your predictions in the form of sketch graphs on the axes below. Label clearly each axis and each graph line. [3] In the experiment you are about to plan to test your prediction in (a)(i) at 25 °C, identify the following. (i) the independent variable (ii) the dependent variable [2] Draw a diagram of the apparatus and the experimental set up you would use to carry out this experiment. Your apparatus should use only standard items found in a school or college laboratory and show clearly (i) how the solid will be heated, (ii) how the water vapour will be condensed into a liquid and collected. Ice is available, (iii) how the nitrogen(I) oxide will be collected. Label each piece of apparatus used, indicating its size or capacity. [3] Using the apparatus shown in (c) design a laboratory experiment to test your prediction in (a)(i) for an experiment at 25 °C. In addition to the standard apparatus present in a laboratory you are provided with the following materials. a sample of solid ammonium nitrate(V) P-5 (Planning, Analysis and Evaluation) Yearly Worked Solution 126 Chemistry A-Level P-5 (e) (f) June 2012/P52 crushed ice Give a step-by-step description of how you would carry out the experiment, (i) to produce enough results to give sufficient data to plot a graph as in (a)(iii), (ii) by stating the volumes of nitrogen(I) oxide you would collect, (iii) by calculating the mass of ammonium nitrate(V) needed to produce one of the volumes of nitrogen(I) oxide suggested in (ii), (iv) by stating how you would ensure that decomposition was complete. [Ar : H, 1.0; N, 14.0; O, 16.0; the molar volume of a gas at 25 °C, 24.0 dm3] [4] State one hazard that must be considered when planning the experiment and describe a precaution that should be taken to minimise the risk from this hazard. [1] Draw a table with appropriate headings to show the data you would record when carrying out your experiments and the values you would calculate in order to construct a graph to support or reject your prediction in (a)(i). The headings should include the appropriate units. [2] Solution: (a) (i) (ii) Increasing the number of moles of NH4NO3, causes the moles of N2O to increase as well. As the moles of NH4NO3 increase, the moles of both N2O and H2O also increase. Hence the sum of number of moles of products also increases. (iii) O moles of products 110 C 25OC moles of NH 4NO 3 (b) (i) (ii) moles of NH4NO3 moles of N2O [2] (c) P-5 (Planning, Analysis and Evaluation) Yearly Worked Solution 127 Chemistry A-Level P-5 June 2012/P52 thermometer 50cm 3 Ice NH4NO 3 [3] (d) (i) (ii) (iii) Use of least 6 different masses of NH4NO3 The volume of N2O collected using these masses should be 20, 25, 30, 35, 40 and 45 cm3 To calculate the mass of NH4NO3 used when 20cm3 of N2O is evolved: moles = (e) 20 = 0.00083 24000 moles ratio =1:1 mass = 0.00083 80 = 0.066g (iv) To ensure complete decomposition, heat each mass of NH4NO3 till the volume of N2O collected in gas syringe becomes constant [4] NH4NO3 is an oxidant and causes explosive reactions when mixed with combustible materials. Keep it away from any source of combustible material. [1] Mass of NH4NO3 /g Vol of N2O/ cm3 Moles of NH4NO3/ mol Moles of N2O/ mol [2] 2 M/J 12/P52/Q2 The variation of the volume with pressure of a fixed mass of any ideal gas at constant temperature may be represented by a relationship known as Boyle’s law, PV = constant where P is the pressure of the gas, V is the volume of the gas. A gas such as carbon dioxide, under certain conditions of temperature and pressure, does not always behave as an ideal gas. An experiment was carried out on carbon dioxide to investigate its behaviour. A calibrated glass tube was filled with a sample of carbon dioxide. P-5 (Planning, Analysis and Evaluation) Yearly Worked Solution 128 Chemistry A-Level P-5 (a) June 2012/P52 The tube was attached to a calibrated pressure pump. The pressure and the volume of the gas sample were recorded. The measured pressure on the gas was increased and the new volume recorded. The results of the experiment are recorded in the table below. A graph of V against P has been plotted for you. Process the results in the table to enable you to plot two further graphs: PV against P 1/V against P Record these values to three significant figures in the additional columns of the table. Label the columns you use. For each column you use include units where appropriate and an expression to show how your values are calculated. You may use the column headings A to D for these expressions (e.g. A–B). A pressure of the gas / kPa B volume of the gas /cm3 335 9.09 298 10.9 243 13.9 205 17.0 170 20.8 145 24.4 110 27.0 101 35.0 80.0 45.5 60.0 60.0 C B [2] This graph shows the relationship between the volume of the gas and the pressure of the gas. P-5 (Planning, Analysis and Evaluation) Yearly Worked Solution Chemistry A-Level P-5 (b) (c) 129 June 2012/P52 Plot a graph to show the relationship between the product of the pressure and volume, PV, of the gas and the pressure, P, of the gas. Draw the line of best fit. [1] Plot a graph to show the relationship between the reciprocal of the volume of the gas and the pressure (1/V against P) of the gas. Begin the scales on both axes at 0. Draw the line or curve of best fit. P-5 (Planning, Analysis and Evaluation) Yearly Worked Solution Chemistry A-Level P-5 (d) (e) (f) (g) 130 June 2012/P52 [3] Circle and label on the graph in (c) any point(s) you consider to be anomalous. For each anomalous point give a different reason why it is anomalous, clearly indicating which point(s) you are describing. [2] Determine the initial slope of the graph in (c). Mark clearly on the graph any construction lines and show in your calculation how the intercepts were used in the calculation of the slope. [2] (i) Does the initial shape of your graph in (c) confirm the equation PV = constant? (ii) Explain your answer in (i) above. (iii) Why is the graph of volume against pressure provided inappropriate for the verification of Boyle’s law? [3] (i) Explain why it was important to measure the initial slope of the graph in (e). (ii) What is the significance of the value of the initial slope? [2] P-5 (Planning, Analysis and Evaluation) Yearly Worked Solution 131 Chemistry A-Level P-5 June 2012/P52 Solution: (a) A pressure of the gas / kPa B C B volume of the gas /cm3 PV (kPa/cm3) (A B) 1 (cm–3) V ( 1B ) 335 9.09 3050 0.110 298 10.9 3250 0.0917 243 13.9 3380 0.0719 205 17.0 3490 0.0588 170 20.8 3540 0.0481 145 24.4 3540 0.0410 110 27.0 2970 0.0370 101 35.0 3540 0.0286 80.0 45.5 3600 0.0220 60.0 60.0 3600 0.0167 [1] (b) × × × × × × × × × × (c) P-5 (Planning, Analysis and Evaluation) Yearly Worked Solution 132 Chemistry A-Level P-5 June 2012/P52 × 0.11 0.10 × 0.09 0.08 × 0.07 Cm -3 (2.25, 0.07) 0.06 × 0.05 × × 0.04 × 0.03 × × 0.02 × (1.15, 0.02) 0.01 0 0 100 200 300 400 P/kpa (d) (e) At point7, volume is measured at5 a higher temperature At point4, volume is measured at a lower temperature (225, 0.067); (75,0.02) 2 y –y 1 M= 2 x – 225 = (f) (g) 0.02 - 0.067 = 3.13 10–4 75 - 225 (i) Yes (ii) The initial section of the graph is a straight line (iii) The graph curves at the ending region (i) The is the region where the graph is a straight line (ii) It is the value of 1K P-5 (Planning, Analysis and Evaluation) [2] [2] [3] Yearly Worked Solution 133 Chemistry A-Level P-5 November 2011/P52 October/November 2011 Paper 52 1. O/N 11/P52/Q1 When potassium nitrate dissolves in water, the temperature of the solution goes down because the enthalpy of solution is endothermic. You are to plan an experiment to investigate how the solubility of potassium nitrate varies with temperature. The units of solubility are grams per one hundred grams of water (g / 100g water). (a) (i) (ii) Predict how the solubility of potassium nitrate will change if the solution temperature is increased. Explain your prediction using the fact that dissolving potassium nitrate is endothermic. prediction explanation Display your prediction in the form of a sketch graph, labelling clearly the axes. [3] (b) In the experiment you are about to plan, identify the following. (i) the independent variable (ii) the dependent variable [2] Design a laboratory experiment to test your prediction in (a). In addition to the standard apparatus present in a laboratory you are provided with the following materials, a boiling tube, a looped wire stirrer, a thermometer covering the temperature range 0 °C to 100 °C. Describe how you would carry out the experiment. You should ensure a wide range of results suitable for analysis by graph, decide on the amounts of water and potassium nitrate to use, measure the amounts of the two reagents, heat the apparatus, decide at what point the temperature of the solution is to be taken. [7] (d) State a hazard that must be considered when planning the experiment and describe precautions that should be taken to keep risks to a minimum. [1] (c) (e) Draw a table with appropriate headings to show the data you would record when carrying out your experiments and the values you would calculate in order to construct a graph to support or reject your prediction in (a). The headings must include the appropriate units. [2] Solution: (a) (i) Prediction: The solubility increases with rise in temperature. Explanation: Since the forward reaction is endothermic then a rise in temperature will favour the forward reaction, increasing solubility. P-5 (Planning, Analysis and Evaluation) Yearly Worked Solutions 134 November 2011/P52 Solubility/g 100g Chemistry A-Level P-5 0 O temp / C (ii) [3] (b) (i) (ii) (c) (d) (e) the independent variable temperature the dependent variable solubility [2] Take 5 beaker Add 25 cm3 of distilled water in each beaker. Which is equal to 25 gram. Now take KNO3 a petri dish and weigh the KNO3. Now dissolve the KNO3 in the beaker at the 25Co temperature to make saturated Subtract the amount of KNO3 remained from the original KNO3 to amount of KNO3 disolved. Take second beaker, take other petri dish, weigh KNO3, and dissolved it in the beaker by keeping temperature at 35 C˚ and get dissolved amount as above. Repeat this experiment for other three observation at 45 C˚, 55 C˚, 65 C˚. Table the values. [7] Hop apparatus handle with tongs or heat resistant gloves. [1] Temperature / C˚ Man dissolved/ g Mass of water dissolved / g Solubility (g/100g) 35 C˚ 45 C˚ 55 C˚ 65 C˚ [2] 2. O/N 11/P52/Q2 Chemical reactions occur more rapidly as the temperature of the reaction mixture increases. The mathematical relationship that summarises this is log10 (rate of reaction)= –E A 19T where EA is the activation energy of the reaction and T is the absolute temperature in Kelvin and the rate of reaction can be taken as the reciprocal of the time taken in seconds (1/time). An experiment was carried out to investigate this relationship using dilute hydrochloric acid and aqueous sodium thiosulfate. 20 cm3 of dilute hydrochloric acid was placed in a boiling tube contained in a water bath. 20 cm3 of aqueous sodium thiosulfate was added to the dilute hydrochloric acid, while stirring and a stopwatch started. The temperature of the water bath was recorded. After a period of time the liquid became cloudy (opaque) due to the formation of a precipitate of sulfur. As soon as this cloudiness (opacity) appeared the time was recorded. P-5 (Planning, Analysis and Evaluation) Yearly Worked Solutions 135 Chemistry A-Level P-5 (a) (b) November 2011/P52 The temperature of the water bath was raised and the whole experiment repeated. The results of several such experiments are recorded below. Process the results in the table to calculate log10 (rate of reaction), the reciprocal of the absolute temperature (1/T) and the ‘rate of reaction’ (1/time). You should expect the values of log10 (rate of reaction) to be negative. Record these values to three significant figures in the additional columns of the table. Label the columns you use. For each column you use include units where appropriate and an expression to show how your values are calculated. You may use the column headings A to F for these expressions (e.g. A–B). [3] A B C Temperature /˚C Absolute temperature /K Time /s 20.0 293 60.3 30.0 303 46.8 40.0 313 41.6 45.0 318 31.6 50.0 323 28.8 55.0 328 25.1 60.0 333 21.0 65.0 338 20.4 70.0 343 18.1 80.0 353 15.1 D E F Plot a graph to show the relationship between log10 (rate of reaction) and the reciprocal of the absolute temperature. You are reminded that the values for log10 (rate of reaction) are negative. Draw the line of best fit. P-5 (Planning, Analysis and Evaluation) Yearly Worked Solutions Chemistry A-Level P-5 136 November 2011/P52 [3] (c) Circle and label on the graph any point(s) you consider to be anomalous. For each anomalous point give a different reason why it is anomalous, clearly stating which point you are describing. (d) Comment on whether the results obtained can be considered as reliable. (e) Determine the slope of the graph. Mark clearly on the graph any construction lines and show clearly in your calculation how the values from the intercepts were used in the calculation of the slope. (f) Using the value of the slope of your graph calculated in (f) calculate a value for the activation energy, EA. Correct use of the equation will produce an answer in kJ mol–1. (g) By considering the movement of particles in the reaction explain why the rate of reaction increases with increasing temperature. [3] [1] [2] [1] [2] P-5 (Planning, Analysis and Evaluation) Yearly Worked Solutions 137 Chemistry A-Level P-5 November 2011/P52 Solution: (a) A B C D E F Temperature /˚C Absolute temperature /K Time /s (1/T)/K–1 1÷B (1/time)/s–1 1÷C Log10 (Rate of reaction) Log10 E 20.0 293 60.3 0.00340 0.0166 –1.78 30.0 303 46.8 0.00330 0.0213 –1.67 40.0 313 41.6 0.00319 0.0240 –1.62 45.0 318 31.6 0.00314 0.0316 –1.50 50.0 323 28.8 0.00310 0.0347 –1.46 55.0 328 25.1 0.00305 0.0398 –1.40 60.0 333 21.0 0.00300 0.0476 –1.32 65.0 338 20.4 0.00295 0.0490 –1.31 70.0 343 18.1 0.00291 0.0552 –1.26 80.0 353 15.1 0.00283 0.0662 –1.18 [3] (b) P-5 (Planning, Analysis and Evaluation) Yearly Worked Solutions 138 Chemistry A-Level P-5 November 2011/P52 -200 -10 -101 -1.00 -1.30 -1.40 log10 (Rate) -1.20 -1.50 -1.60 -1.70 × 2.50 2.60 2.70 2.80 2.90 3.00 -3 3.10 3.20 3.30 -1.80 3.40 -1 (1/T) x10 /K [3] (c) Points 3 and 7 are off the line. Point 3 – Time is started too early or Time to passed opacity point. Point Time is started late or Time to prior opacity. (d) Most of the points lies on the best fit line, so results reliable. (e) Co-ordinate 2 – Co-ordinate 1 – (–1.26, –1.67) (0.00291, 0.00330) Gradient = [3] [1] –1.67 – (1.26) 0.00330 – 0.00291 P-5 (Planning, Analysis and Evaluation) Yearly Worked Solutions 139 Chemistry A-Level P-5 = – 0.41 3.9 10 –4 November 2011/P52 Gradient = – 1.05 [2] (f) – EA EA = slope × 19 = – 1.05 × 19 = 19.95 [1] (g) Increase in temperature, increase the kinetic energy of particles, which increase the frequency of collision of molecules and number of molecules exceeding activation energy increase. So rate of reaction increases. [2] P-5 (Planning, Analysis and Evaluation) Yearly Worked Solutions 140 Chemistry A-Level P-5 June 2011/P52,51,53 May/June 2011 Paper 52, 51 & 53 1. MJ 11/P52,51,53/Q1 The carbonates of group II in the periodic table decompose on heating forming an oxide and carbon dioxide. X is any group II cation (e.g. Mg2+) XCO3 XO + CO2 This decomposition occurs because the positively charged cations polarise (distort) the C—O bond in the carbonate ion causing the ion to break up. The charge density of the group II. This affects the decomposition rate. You are to plan an experiment to investigate how the rate of decomposition of a group II carbonate varies as the group is descended. The rate can be conveniently measured by finding the time taken to produce the same volume of carbon dioxide from each carbonate. (a) (i) (ii) Predict how the rate of decomposition of the group II carbonates will change as the group is descended. Explain this prediction in terms of the charge density of the cation as the group is descended. prediction explanation Display your prediction in the form of a sketch graph, clearly labelling the axes. 0 (b) (c) (d) [3] In the experiment you are about to plan, identify the following. (i) the independent variable (ii) the dependent variable [2] Draw a diagram of the apparatus and experimental set up you would use to carry out this experiment. Your apparatus should use only standard items found in a school or college laboratory and show clearly the following. (i) the apparatus used to heat the carbonate (ii) how the carbon dioxide will be collected Label each piece of apparatus used, indicating its size or capacity. [2] Using the apparatus shown in (c) design a laboratory experiment to test your prediction in (a). In addition to the standard apparatus present in a laboratory you are provided with the following materials, samples of the carbonates of magnesium, calcium, strontium and barium, a stopwatch/clock with second hand. Give a step-by-step description of how you would carry out the experiment by stating (i) the gas volume you would collect from each carbonate, P-5 (Planning, Analysis and Evaluation) Yearly Worked Solutions 141 Chemistry A-Level P-5 June 2011/P52,51,53 (ii) (e) (f) (g) how you would calculate the mass of each carbonate to ensure that this volume of carbon dioxide is produced, (iii) how you would control the factors in the heating so that different carbonates can be compared. [4] State a hazard that must be considered when planning the experiment and describe precautions that should be taken to keep risks to a minimum. [2] Draw a table with appropriate headings to show the data you would record when carrying out your experiments and the values you would calculate in order to construct a graph to support or reject your prediction in (a). The headings must include the appropriate units. [2] This simple experiment is likely to produce only approximate results. Suggest an improvement to your apparatus or an alternative apparatus that may improve the reliability of the results. [1] Solution (a) (i) Prediction: Rate of decomposition increases as we go down the group. Explanation: As we go down the group atomic radii increases effective nuclear charge remains the same so charge density decreases and polarizing power decreases. Rate of Decomposition (ii) 0 Group Two Carbonates (down the group) [3] (b) (i) (ii) Group two carbonate. Time taken [2] (c) CaCO3 (fixed mass) Bunsen Burner [2] (d) (1) (2) (3) Take 5g mass of magnesium, calcium, strontium and barium carbonate. Use an electronic balance to weigh out the mass. Place each of the weighed samples in a crucible and heat. P-5 (Planning, Analysis and Evaluation) Yearly Worked Solutions 142 Chemistry A-Level P-5 June 2011/P52,51,53 (4) (e) (f) The crucible should be placed inside an enclosed tube which is air tight and has a syringe attached. (5) As soon as the heating starts, start the stopwatch and stop when the volume gas in the syringe becomes constant. (6) Bunsen burner should be placed at same distance from the crucible and same strength of the burner used. [4] The apparatus can become hot, so use heat proof gloves. [2] Type of carbonate Time / s Rate / s-1 MgCO3 CaCO3 SrCO3 BrCO3 [2] (g) Electrical Heating Coil [1] 2. MJ 11/P52 51 53/Q2 When sodium nitrate, NaNO3, is heated, it decomposes into sodium nitrite, NaNO2, and oxygen. A suggested equation is:2NaNO3 2NaNO2 + O2 An experiment was carried out to attempt to confirm this. An empty boiling tube was weighed and the mass recorded. A sample of sodium nitrate was added to the boiling tube and the new mass recorded. The boiling tube and sodium nitrate was heated strongly for five minutes and then allowed to cool back to room temperature. The boiling tube and contents was then reweighed and the mass recorded. (a) Calculate the relative molecular masses (Mr) of NaNO3 and NaNO2. [Ar: N, 14.0; O, 16.0; Na, 23.0] [1] (b) The results of several such experiments are recorded below. P-5 (Planning, Analysis and Evaluation) Yearly Worked Solutions 143 Chemistry A-Level P-5 (c) June 2011/P52,51,53 A B C D E F G Mass of boiling tube /g Mass of boiling tube + NaNO3 /g Mass of NaNO3 /g (B – A) Mass of NaNO3 /g (C – A) Mass of NaNO3 (D ÷ 85) Mass off NaNO3 (D ÷ 85) Mass off NaNO2 (E ÷ 69) 9.90 13.10 12.50 10.05 14.73 13.91 10.25 14.20 13.46 9.80 12.67 12.65 9.60 14.56 13.63 10.30 15.80 14.76 11.05 17.18 15.50 10.00 17.00 15.68 9.75 17.65 16.16 10.15 18.48 16.84 Process the results in the table to calculate the number of moles of sodium nitrate and the number of moles of sodium nitrite. Record these values in the additional columns of the table. You may use some or all of the columns. Masses should be recorded to two decimal places. Numbers of moles should be recorded to two significant figures. Label the columns you use. For each column you use include units where appropriate and an expression to show how your values are calculated. You may use the column headings A to G for these expressions (e.g. A–B). [2] Plot a graph to show the relationship between the number of moles of sodium nitrate and the number of moles of sodium nitrite. Draw the line of best fit. P-5 (Planning, Analysis and Evaluation) Yearly Worked Solutions Chemistry A-Level P-5 144 June 2011/P52,51,53 [3] (d) (e) (f) Circle and label on the graph any point(s) you consider to be anomalous. For each anomalous point give a different reason why it is anomalous clearly indicating which point you are describing. [3] Determine the slope of the graph. Mark clearly on the graph any construction lines and show clearly in your calculation how the intercepts were used in the calculation of the slope. [3] (i) Does the value of the slope of your graph calculated in (e) confirm the equation given in (a) or not? (ii) Explain your answer in (f)(i) above. [2] P-5 (Planning, Analysis and Evaluation) Yearly Worked Solutions 145 Chemistry A-Level P-5 June 2011/P52,51,53 Solution: (a) NaNO3 = 85 NaNO2 = 69 [1] (b) B C D E F G Mass of boiling tube /g Mass of boiling tube + NaNO3 /g Mass of boiling tube NaNO2 /g Mass of NaNO3 /g (B – A) Mass of NaNO3 (C – A) Mass off NaNO3 (D ÷ 85) Mass off NaNO2 (E ÷ 69) 9.90 13.10 12.50 3.20 2.60 0.038 0.038 10.05 14.73 13.91 4.68 3.86 0.055 0.056 10.25 14.20 13.46 3.95 3.21 0.046 0.047 9.80 12.67 12.65 2.87 2.87 0.034 0.042 9.60 14.56 13.63 4.96 4.03 0.058 0.058 10.30 15.80 14.76 5.50 4.46 0.065 0.080 11.05 17.18 15.50 6.13 4.45 0.072 0.064 10.00 17.00 15.68 7.00 5.68 0.082 0.082 9.75 17.65 16.16 7.90 6.41 0.093 0.093 10.15 18.48 16.84 8.33 6.69 0.098 0.097 [2] (c) P-5 (Planning, Analysis and Evaluation) Yearly Worked Solutions 146 Chemistry A-Level P-5 June 2011/P52,51,53 1.0 10 0.093 9 0.9 Po 0.8 in t 7 8 7 moles NaNO2 0.7 6 0.6 4 5 0.5 3 in Po t4 × 0.4 0.038 2 0.3 0.2 0.2 0.093 0.038 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1.0 moles NaNO 3 (d) Point 4: Point 7: (e) (f) (i) (ii) [3] Incomplete decomposition or heated for less time. Sample may be damp so more weight is taken or due to escape of gasses few solid may be lost. [3] Co-ordinate 1 - (0.038, 0.093) Co-ordinate 2 - (0.038, 0.093 0.093 0.038 Slope 0.093 0.038 =1 [3] Slope confirm the equation. From the equation the mole ratio is 1:1. The slope of the graph 1, it confirms the 1:1 of the equation. [2] P-5 (Planning, Analysis and Evaluation) Yearly Worked Solutions 147 Chemistry A-Level P-5 November 2010/P52&53 October/November 2010 Paper 52 & 53 1. O/N 10/P52/Q1, O/N 10/P53/Q1 Aqueous hydrogen peroxide decomposes into oxygen gas and water. The reaction is normally very slow but is catalyzed by solid manganese(IV) oxide. 2H2O2 (aq) 2H2O(l) + O2 (g) You are to plan an experiment to investigate how the rate of the catalyzed decomposition of aqueous hydrogen peroxide depends on its concentration. (a) The rate of decomposition depends on the number of hydrogen peroxide molecules present in a given volume of solution. (i) Use this information to predict and explain how the rate of decomposition of the hydrogen peroxide depends on the concentration. Prediction: Explanation: (ii) Display your prediction in the form of a sketch graph below: rate /s –1 0 (b) (c) (d) 0 [H2 O2 ]/ mol dm–3 [3] An approximate method for the determination of the rate of decomposition of the hydrogen peroxide is to measure the time taken to collect a fixed volume of oxygen. The volume is kept the same throughout a series of experiments. The rate of the reaction can be represented by the reciprocal of the time taken. Rate of reaction 1/time taken In the experiment you are about to plan identify the following. (i) the independent variable: (ii) the dependent variable: [2] Draw a diagram of the apparatus you would use in the experiment. Your apparatus should use only standard items found in a school or college laboratory and show clearly the following: (i) how the volume of the oxygen will be collected and measured. (ii) how you will make sure that none of the oxygen is lost. [3] Label each piece of apparatus used, indicating its size or capacity. Using the apparatus shown in (c) design a laboratory experiment to test your prediction in (a) In addition to the standard apparatus present in a laboratory you are provided with the following materials. 2.00 mol dm–3 aqueous hydrogen peroxide. a supply of manganese(IV) oxide (i) Complete the table below to show how you would prepare five solutions of aqueous hydrogen peroxide. Make sure that the correct units are recorded. Expt. No. Volume of H2O2 Volume of H2O Concentration of H2O2 1 2 3 P-5 (Planning, Analysis and Evaluation) Yearly Worked Solutions 148 Chemistry A-Level P-5 November 2010/P52&53 4 5 (ii) (e) (f) Give a step-by-step description of how you would use your apparatus shown in (c) to carry out one complete experiment. [4] State a problem which might be experienced by someone having to carry out these experiments alone. [1] Draw a table with appropriate headings to show the data you would record when carrying out your experiments and the values you would calculate in order to construct a graph to support or reject your prediction in (a). The headings should include appropriate units. [2] Solution: (a) (i) Prediction: Explanation: Role of decomposition increases as the concentration increase. Some increase in concentration. More molecule of H2O2 are present in given volume of solution. (ii) rate/s-1 0 0 [H2O2] / mol dm -3 [3] (b) (i) (ii) the independent variable: concentration of H2O2. the dependent variable: time taken. [2] (c) 10cm 2 syringe 250ml [3] (d) (i) Expt. No. Volume of H2O2 Volume of H2O Concentration of H2O2 1 25 cm3 0 cm3 2.0 P-5 (Planning, Analysis and Evaluation) Yearly Worked Solutions 149 Chemistry A-Level P-5 2 20 cm3 5 cm3 2.0 3 15 cm3 10 cm3 2.0 10 cm3 15 cm3 2.0 20 cm3 2.0 4 5 (ii) (e) (f) November 2010/P52&53 5 cm3 cm3 cm3 Add 20 of H2O2 and 5 of H2O in flask. Add a certain amount of manganese(IV) oxide. Record the volume change of syringe. Note down the time. [4] Starting the reaction and the stopwatch simultaneously is difficult. H2O2 concentration in dm3 [1] Rate / s–1 Time [2] 2. O/N 10/P52/Q2, O/N 10/P53/Q2 When a solute is added to two solvents, A and B, which do not mix, some of the solute dissolves in each of the solvents and an equilibrium is set up between the two solvents. At equilibrium the ratio of the two concentrations is a constant known as the Partition Coefficient, K. concentration in solvent A =K concentration in solvent B An experiment was carried out to determine K for succinic acid, HO2CCH2CH2CO2H, between water (boiling point 100°C) and diethyl ether, (C2H5)2O, (boiling point 35°C). 100cm3 of distilled water and 100 cm 3 of diethyl ether were transferred to a conical flask. A sample of succinic acid was added, the flask was stoppered and the mixture thoroughly shaken until all of the solid and dissolved. A 10.0cm3 sample of the water layer was removed and titrated with 0.10 mol dm –3 aqueous sodium hydroxide using phenolphthalein as an indicator. A 25.0 cm3 sample of the diethyl ether layer was removed and a small amount of water added. This was then titrated with 0.020 mol dm–3 aqueous sodium hydroxide using phenolphthalein as an indicator. The experiment was repeated using the same volumes of water and diethyl ether but decreasing masses of succinic acid. (a) The results of the series of titrations are recorded below. A B C Expt. No. Volume of 0.10 mol dm–3 NaOH reacting with 10.0 cm3 of the water layer /cm 3 Volume of 0.020 mol dm–3 NaOH reacting with 25.0 cm3 of the ether layer /cm3 1 24.3 18.6 2 22.5 17.3 P-5 (Planning, Analysis and Evaluation) D E Yearly Worked Solutions 150 Chemistry A-Level P-5 (b) November 2010/P52&53 3 20.3 15.6 4 18.8 13.1 5 16.3 12.5 6 13.8 10.6 7 10.3 7.9 8 6.8 6.9 9 5.0 3.8 10 2.5 1.9 Process the results in the table to calculate the concentration of the succinic acid in each layer. Record these values of three significant figures in the additional columns of the table. Label each column, including units and an expression to show how your values are calculated. You may use the column headings A to E your expression. [3] Present the concentration of the succinic acid in each layer in graphical form. Draw the line of best fit. P-5 (Planning, Analysis and Evaluation) Yearly Worked Solutions 151 Chemistry A-Level P-5 (c) (d) (e) (f) November 2010/P52&53 [3] Circle on the graph any point(s) you consider to be anomalous. For any point circled on the graph suggest an error in the conduct of the experiment that might have led to this anomalous result. [3] (i) Determine the value of K from your graph. Mark clearly on the graph any construction lines and show clearly in your calculation how the intercepts were used in the calculation of the slope. (ii) By considering the data you have processed and the graph you have drawn, decide if the experimental procedure described is suitable for the determination of the Partition Coefficient, K. Explain your reasoning. [3] In the experimental procedure a small volume of water was added to the diethyl ether prior to the titration with aqueous sodium hydroxide. The flask was constantly shaken during the titrations. What was the purpose of this technique? [1] Using a burette, the error associated with a titration depends on the value of the titre. Comment on the magnitude of the titres recorded in the table in (a) and indicate, with reasons, which have the highest error. [2] Solution: (a) A Expt. No. B C Volume of Volume of 0.10 mol dm–3 0.020 mol NaOH dm–3 NaOH reacting with reacting with 10.0 cm3 of 25.0 cm3 of the water the ether layer layer /cm3 /cm3 D E Concentration of Concentration of succinic acid in H2O / succinic acid in ether mol dm–3 / mol dm–3 B 10 0.1 1000 1000 C 25 0.2 1000 1000 1 24.3 18.6 0.243 0.015 2 22.5 17.3 0.225 0.014 3 20.3 15.6 0.203 0.0125 4 18.8 13.1 0.188 0.0105 5 16.3 12.5 0.163 0.010 6 13.8 10.6 0.138 0.00848 7 10.3 7.9 0.103 0.00632 8 6.8 6.9 0.068 0.00552 9 5.0 3.8 0.050 0.00304 10 2.5 1.9 0.025 0.00152 [3] (b) P-5 (Planning, Analysis and Evaluation) Yearly Worked Solutions 152 Chemistry A-Level P-5 November 2010/P52&53 260 243 240 225 220 188 180 -3 concentration of succinic acid in H2O 1 mol dm / x 10 3 203 200 163 160 140 139 120 103 100 80 68 60 50 40 25 20 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 concentration of succinic acid in ether (c) For point x: For point y: (d) (i) g= = (ii) [3] More concentration in ether is taken or less concentration in water is taken. Less concentration of in ether is taken or more in water is taken. [3] y 2 - y1 x 2 - x1 228 - 64 14 - 4 = 16.4 Yes, since the graph produces a straight line. P-5 (Planning, Analysis and Evaluation) [3] Yearly Worked Solutions Chemistry A-Level P-5 153 November 2010/P52&53 (e) To ensure that all the reacted of acid and Base are completely mixed with each other. [1] (f) Low titra values have a higher percentage error. Since p.e. = P-5 (Planning, Analysis and Evaluation) x 100 . x [2] Yearly Worked Solutions 154 Chemistry A-Level P-5 November 2010/P51 October/November 2010 Paper 51 1. O/N 10/P51/Q1 When aqueous sodium chloride, NaCl, is added to aqueous lead nitrate, Pb(NO3)2, a white precipitate of lead chloride, PbCl2, is produced. A suggested stoichiometric equation is: Pb(NO3 )2 (aq) + 2NaCl(aq) PbCl2 (s) + 2NaNO3 (aq) In separate experiments, different volumes of 0.20 mol dm –3 aqueous sodium chloride are added to a fixed volume of 0.10 mol dm –3 aqueous lead nitrate. In each case, the precipitate is filtered, washed with distilled water and thoroughly dried. The mass of the precipitate is recorded. You are to plan an experiment to investigate this reaction in order to confirm or reject the stoichiometry of the equation. (a) (b) By considering the suggested stoichiometric equation, predict and explain how the number of moles of the precipitate, PbCl2, will change as the number of moles of NaCl added increases. Prediction: Explanation: [2] State a limiting factor that must be taken into account when increasing the volume of the aqueous sodium chloride added. Sketch the graph which would result if, after some of the experiments, the NaCl is in excess. Start your graph with no NaCl added. PbCl 2 / mol 0 0 NaCl /mol [3] (c) In the experiment you are about to plan, identify the following: (i) the independent variable: (ii) the dependent variable: (iii) another variable to be controlled. [2] (d) (e) Design a laboratory experiment to test your prediction in (a). You are provided with 250 cm 3 of 0.20 mol dm–3 aqueous sodium chloride. (i) Outline how you would prepare 250 cm 3 of 10 mol dm–3 aqueous lead nitrate, [Ar : N, 14; O, 16; Pb, 207] (ii) Give a step by step description of how you would carry out one experiment. You should state the volumes of each solution to be used, how the volumes will be measured. how you would dry the precipitate. [6] In the table below: enter appropriate headings to show additional data you would record when carrying out your experiments and the values you would calculate in order to construct a graph to support or reject your prediction in (a). The headings should include the appropriate units. enter the volumes from your plan in (d). P-5 (Planning, Analysis and Evaluation) Yearly Worked Solutions 155 Chemistry A-Level P-5 (f) November 2010/P51 enter suitable volumes for four further experiments. [2] How would you ensure that at the end of each experiment the precipitate was thoroughly dried? [1] Solution: (a) (b) Prediction: Increases the number of moles of NaCl by 1, increases PbCl2 by 0.5. Explanation: By the equation 2 moles of NaCl produce 2 mole of PbCl2. No. of moles of Pb(NO3)2. [2] PbC l2/ mol 0 0 NaCl / mol [3] (c) (d) (i) (ii) (iii) (i) no. of moles of NaCl no. of moles of PbCl2 produced. temperature. (ii) C= mass 0.2 = 1000 × Mr mass [2] 3 Solution in cm × 331 1000 250 mass = 16.55 Add 16.27 of NaCl and dissolve it into 10 cm 3 of water in a beaker. Add the solution in volumetric flask and add water upto the mark. Take a fixed volume of 25 cm 3 of Pb(NO3)2 solution using a pipette into 4 different beaker, add 10 cm 3, 20 cm3, 30 cm3 and 40 cm 3 of NaCl solution to each using a beaker. Add the solutions and mix in evaporating dish. After mixing the solutions are heated to evaporate water (heat will constant mass) then note down the mass of the precipitates. [6] (e) P-5 (Planning, Analysis and Evaluation) Yearly Worked Solutions 156 Chemistry A-Level P-5 Volume of Pb(NO3)2 /cm3 Volume of NaCl (aq) / cm3 Mass of precipitate /g November 2010/P51 No. of moles of NaCl M V 1000 No. of moles of NaCl n mass Mr 25 25 25 25 25 (f) 2. [2] [1] Reheat to a constant mass. O/N 10/P51/Q2 The melting point of solid water is 0°C. This is the same as the freezing point of water. This freezing point can be lowered (depressed) by the addition of a solute, such as glucose. The extent of the freezing point depression depends on the number of particles of solute dissolved in the solution. The freezing point depression, Tf, is proportional to the molal concentration, cm, of the solution. Tf, = Kf, cm where Kf is the freezing point depression constant. The molal concentration (molality) of a solution is defined as the number of moles of a solute dissolved in one kilogram of water e.g. a one molal solution has one mole of solute dissolved in one kilogram of water. An experiment was carried out to investigate the relationship between Tf and cm. A weighed sample of distilled water was placed in a boiling tube. A weighed sample of glucose was added. The mixture was stirred until a solution was obtained. The tube was placed in a freezing apparatus to lower the temperature. The freezing point of the solution was measured precisely and the freezing point depression calculated. (a) Calculate the Mr of glucose C6H12O6. [Ar : H, 1.0; C, 12.0; O, 16.0] [1] (b) The results of the experiment are recorded below. A B C mass of water /g mass of glucose /g freezing point depression Tf /°C 100 10.0 1.03 100 12.2 1.26 100 18.0 2.09 100 23.3 2.40 100 27.7 2.86 100 30.9 3.22 100 33.1 3.31 100 38.6 3.98 100 42.3 4.37 P-5 (Planning, Analysis and Evaluation) D E F Yearly Worked Solutions Chemistry A-Level P-5 157 November 2010/P51 (c) Process the results in the table to calculate the molality of the glucose solution. This will enable you to plot a graph to show how the freezing point depression, Tf, varies with the molality of the solution. Record these values to three significant figures in the additional columns of the table. You may use some or all of the columns. Label the columns you use. For each column you use include units where appropriate and an expression to show how your values are calculated. You may use the column headings A to F for this purpose. [2] Present the data calculated in (b) in graphical form. Draw the line of best fit. (d) Circle on the graph any point(s) you consider to be anomalous. [3] P-5 (Planning, Analysis and Evaluation) Yearly Worked Solutions 158 Chemistry A-Level P-5 November 2010/P51 For any point circled on the graph suggest an error in the conduct of the experiment that might have led to this anomalous result. [3] (i) Determine the value of Tf /cm from your graph. This is the freezing point depression constant Kf. Mark clearly on the graph any construction lines and show clearly in your calculation how the intercepts were used in the calculation of the slope. (ii) By considering the data you have processed and the graph you have drawn, decide if the experimental procedure described is suitable for the determination of the freezing point depression constant Kf. Explain your reasoning. [3] When the experiment was repeated using sodium chloride instead of glucose as the solute, the freezing point depressions were found to be twice the value obtained in the glucose experiment for each molality. Using the information given at the start of the question suggest a reason for this. [1] Using your suggestion from (f) predict the effect on the freezing point depression if a weak acid such as ethanoic acid was used instead of glucose or sodium chloride as the soluble. [1] (e) (f) (g) Solution: (a) 180 [1] (b) A B C D E mass of water /g mass of glucose /g freezing point depression Tf /°C no. of moles of glucose (B/180) Molal conc. cm/mol kgt ×10 (Molality) 100 10.0 1.03 0.060 0.6 100 12.2 1.26 0.070 0.7 100 18.0 2.09 0.10 1.0 100 23.3 2.40 0.13 1.29 100 27.7 2.86 0.15 1.54 100 30.9 3.22 0.17 1.72 100 33.1 3.31 0.18 1.84 100 38.6 3.98 0.21 2.14 100 42.3 4.37 0.24 2.35 F [2] (c) P-5 (Planning, Analysis and Evaluation) Yearly Worked Solutions 159 Chemistry A-Level P-5 November 2010/P51 5.00 4.00 7 ∆T/c° 3.00 2.00 1.00 0.6 0.8 1.0 1.2 1.4 1.6 1.8 2.0 2.2 0.00 2.4 molality mol / Kg (d) (e) [3] For point 3, more glucose, or less water or temperature is measured after freezing point. For point 7, too much water is added, or less glucose is added or temperature is measured before freezing point. [3] (i) (ii) 4.35 1.25 2.31 0.7 3.1 1.61 = 1.92°C kg mol–1 Most of the points lies on the line, so suitable for determining the freezing point depression. [3] P-5 (Planning, Analysis and Evaluation) Yearly Worked Solutions Chemistry A-Level P-5 (f) (g) 160 November 2010/P51 NaCl is more soluble in water than glucose. NaCl produces twice the number of particles. [1] Ethanoic acid is less ionize, so less number of particles, so less depression in boiling point. [1] P-5 (Planning, Analysis and Evaluation) Yearly Worked Solutions 161 Chemistry A-Level P-5 June 2010/P52 May/June 2010 Paper 52 1. M/J 10/P52/Q1 At any temperature, equilibrium can be established between a liquid X and the vapour given off by that liquid. X (I) X (g) As the temperature of the system is raised, so the pressure exerted by the vapour increases. When the vapour pressure becomes equal to the surrounding (ambient) air pressure, the liquid boils. When the liquid contains a dissolved solid (solute), the vapour above the liquid is reduced. You are to plan an experiment to investigate how the boiling point of an aqueous solution of potassium chloride depends on the concentration of the solution. (a) (i) (ii) By considering how the vapour pressure changes as the concentration of the aqueous potassium chloride increases, predict and explain how the boiling point of the solution will be affected by the concentration of the solution. Predict how the boiling point will change Explanation Display your prediction in the form of the sketch graph, labelling clearly the point representing the boiling point of pure water and its value. boiling point 0 concentr ation of the potassium chlor ide (b) (c) (d) [3] In the experiment you are about to plan, identify the following: (i) the independent variable (ii) the dependent variable [2] Draw a diagram of the apparatus you would use in the experiment. Your apparatus should use only standard items found in a school or college laboratory and should show clearly. (i) how the solution will be heated and over-heating of the solution prevented. (ii) how the thermometer will be positioned. Remember you are investigating an equilibrium. Label each piece of apparatus used, indicating its size or capacity and the temperature range that the thermometer should cover. [3] When investigating how the boiling point of a solution changes with concentration, it is convenient to represent the concentrations of the solute as a molality. The molality of a solution is defined as the number of moles of a solute dissolved in one kilogram of water e.g. a one molal solution has one mole of solute dissolved in one kilogram of water. In addition to the standard apparatus present in a laboratory you are provided with the following materials. 100 g of distilled/deionized water (you should take particular note of this limited supply of water) solid potassium chloride, KCl Give a step-by-step description of how you would: P-5 (Planning, Analysis and Evaluation) Yearly Worked Solutions 162 Chemistry A-Level P-5 June 2010/P52 (i) (e) (f) (g) prepare a series of solutions of potassium chloride that can be used in the apparatus you have shown in (c) to give sufficient data to plot a graph as in (a)(ii). (ii) show how you would calculate the molality of one of these solutions. [Ar : K, 39.1; Cl, 35.5] [3] State a hazard that must be considered when planning the experiment. [1] State a limiting factor that must be taken into account when increasing the concentration of the aqueous potassium chloride. [1] Draw up a table with appropriate headings to show the data you would record when carrying out your experiments and the values you would calculate in order to construct a graph to support or reject your prediction in (a). The headings should include the appropriate units. [2] Solution: (a) (i) Predict how the boiling point will change: The boiling point increase with the increase in concentration of solution. Explanation: Boiling point depends upon vapour pressure, this decrease with increasing concentration as a result boiling point increase. (ii) boiling point 0 concentr ation of the potassium chlor ide [3] (b) (c) (i) (ii) (i) (ii) the independent variable: concentration KCl. the dependent variable: temperature or boiling point. P-5 (Planning, Analysis and Evaluation) [2] Yearly Worked Solutions 163 Chemistry A-Level P-5 June 2010/P52 Thermometer Co 100 50 100 cm 3 beaker 0 [3] (d) (i) (ii) Divide the 100 cm3 of water in equal 0.5 para of 20 cm 3. Make 0.5 molal solution first by adding 0.766 gram in beaker containing 20 cm3 of water. molality = mass Mr 0.5 = 1000 × solvent in grams Mass of KCl 1000 × 76.6 20 Mass of KCl = 0.766 g Similarly dissolved 1.53 g of KCl to make 1 molal 2.30 g to make 1.5 molal, 3.06 to make 2 moles and 3.89 g to make 2.5 molal solution. Determine the boiling point one by one of all solution. [3] Wear gloves when touching the heated beaker. [1] The solubility of KCl [1] (e) (f) (g) Sr.No. Water (g) KCl (g) Molality (mol/kg–1) 1. 20 0.766 0.5 2. 20 1.53 1.0 3. 20 2.30 1.5 4. 20 3.06 2.0 5. 20 3.83 2.5 Boiling point or Temperature °C [2] 2. M/J 10/P52/Q2 When aqueous sodium hydroxide, NaOH, is added to aqueous copper(II) sulfate, CuSO4, a precipitate of copper(II) hydroxide, Cu(OH)2, is produced. The stoichiometric equation for this reaction is: P-5 (Planning, Analysis and Evaluation) Yearly Worked Solutions 164 Chemistry A-Level P-5 June 2010/P52 CuSO4 (aq) + 2NaOH (aq) Cu(OH)2 (s) + Na2SO4 (aq) An experiment was carried out to investigate this stoichiometry. A weighed sample of copper(II) sulfate-5-water, CuSO4.5H2O, was completely dissolved in distilled water. An excess of aqueous sodium hydroxide was added. The resultant precipitate was filtered off. The precipitate was washed thoroughly and completely dried. The mass of the precipitate was recorded. (a) Calculate the relative formular mass, Mr, of each of the following. [Ar : Cu, 63.5; S, 32.1; O, 16.0; H, 1.0] CuSO4.5H2O Mr Cu(OH)2 Mr [1] (b) (c) (d) The results of the experiment are recorded below. A B mass of CuSO4.5H2O /g mass of Cu(OH)2 /g 2.50 0.78 6.24 1.95 9.99 3.12 14.98 4.20 19.97 6.24 24.96 7.80 29.95 9.36 34.94 11.81 42.43 13.26 C D E Process the results in the table to calculate the number of moles of CuSO 4.5H2O used and the number of moles of Cu(OH) 2 produced, to enable you to plot a graph to show the relative number of moles of the CuSO4.5H2O and Cu(OH)2. Record these values to three decimal places in the additional columns of the table. You may use some or all of the columns. Label the columns you use. For each column you use, include units where appropriate and an expression to show how you values are calculated. You may use the column headings A to E in your expressions. [2] Why was it not necessary to know the concentration of the aqueous sodium hydroxide? [1] Present the data calculated in (b) in graphical form. Draw the line of best fit. P-5 (Planning, Analysis and Evaluation) Yearly Worked Solutions 165 Chemistry A-Level P-5 June 2010/P52 [3] (e) (f) (g) Circle on the graph any point(s) you consider to be anomalous. For any point circled on the graph suggest an error in the conduct of the experiment that might have led to an anomalous result. [3] Determine the slope of the graph. Mark clearly on the graph any construction lines and show clearly in your calculation how the intercept were used in the calculation of the slope. [3] State whether the result in (f) confirms or not the stoichiometry of the equation for the reaction between aqueous copper(II) sulfate and aqueous sodium hydroxide. Comment on your conclusion. [2] Solution: (a) CuSO4.5H2O Cu(OH)2 Mr Mr 249.6 97.5 [1] (b) A B C D Mass of CuSO4.5H2O /g Mass of Cu(OH)2 /g Moles of CuSO4.5H2O A = Mr Moles of Cu(OH)2 P-5 (Planning, Analysis and Evaluation) E Yearly Worked Solutions 166 Chemistry A-Level P-5 (c) (d) June 2010/P52 2.50 0.78 0.01 0.008 6.24 1.95 0.025 0.020 9.99 3.12 0.04 0.032 14.98 4.20 0.06 0.043 19.97 6.24 0.08 0.064 24.96 7.80 0.10 0.080 29.95 9.36 0.12 0.096 34.94 11.81 0.14 0.121 42.43 13.26 0.17 0.136 [2] [1] Sodium hydroxide is in excess. 0.18 0.16 0.14 Cu(OH)2 0.12 0.10 0.08 0.06 0.04 0.02 0.00 0.02 0.04 0.06 0.08 0.10 0.12 0.14 0.16 0.18 0.00 CuSO 4 [3] P-5 (Planning, Analysis and Evaluation) Yearly Worked Solutions Chemistry A-Level P-5 (e) (f) (g) 167 June 2010/P52 Point 4: Not an excess NaOH is used. or sulphate is less used and recorded in greater amount. Point 8: Recorded mass of sulphate is less than actual value or greater amount of Cu(OH)2 is recorded, than taken. [3] co-ordinate: (0.025, 0.14) co-ordinate-2: (0.02, 0.121) 0.121 0.02 = 0.14 0.025 = 0.9 [3] The slope of the equation proves the stoichiometry. The slope give the number of moles of Cu(OH) 2 that is according to the stoichiometry, the value of slope is very close to one. [2] P-5 (Planning, Analysis and Evaluation) Yearly Worked Solutions 168 Chemistry A-Level P-5 June 2010/P51 May/June 2010 Paper 51 1. M/J 10/P51/Q1 The neutralisation of an acid by a base is exothermic. In this experiment the following solutions are available. 2 mol dm–3 sulfuric acid, H2SO4 3 mol dm–3 sodium hydroxide, NaOH The equation for the reaction is: 2NaOH(aq) + H2SO4(aq) Na2SO4(aq) + 2H2O(l) (a) 2 mol dm–3 H2SO4 is gradually added to a fixed volume of 3 mol dm –3 NaOH in a 150cm3 plastic cup, while stirring continuously. The temperature of the solution, measured with a thermometer, increases until the alkali is just neutralised. On further addition of the cold acid the temperature of the solution slowly falls. Select an appropriate volume, x cm3, of 3 mol dm–3 NaOH to use in the experiment. …………………. cm3 –3 Calculate the volume 2 mol dm H2SO4 that will just neutralise x cm3 of 3 mol dm –3 NaOH. Sketch the graph you would expect to obtain as the acid is added. Label the neutralization point. temper ature of the solution /°C 0 (b) (c) (d) (e) (f) (g) volume of acid added / cm3 [3] This experiment can be used to determine the enthalpy change of neutralization for the reaction. To ensure reliable results the experiment should be repeated a number of times. When sulfuric acid is added to the fixed volume of aqueous sodium hydroxide in this experiment. (i) the independent variable is (ii) the dependent variable is (iii) the other variable that need to be controlled are [3] In carrying out the experiment, what apparatus would you use to accurately measure the independent variable? [1] Explain how you would use this apparatus to control the independent variable. [1] Identity and assess: (i) a risk associated with the plastic cup used in this experiment, (ii) a risk associated with the 3mol dm –3 NaOH. [1] Describe how the risks in (e) can be kept to a minimum for (i) the plastic cup, (ii) the 3 mol dm–3 NaOH [1] In the space below draw a table to show column headings for all the measurements you would make during the experiment. P-5 (Planning, Analysis and Evaluation) Yearly Worked Solutions 169 Chemistry A-Level P-5 (h) (i) June 2010/P51 Including in the table one or more columns for any calculated values needed to determine the enthalpy change of neutralization. [2] Show how you would calculate the total heat energy produced in the plastic cup up to the point when the sulfuric acid has just neutralized the sodium hydroxide. You may use T to represent the temperature change. [4.3 J of heat energy raise the temperature of 1 cm3 of any solution by 1°C.] [1] The enthalpy change of neutralization is the energy change associated with the reaction shown by the following equation. NaOH(aq) + 21 H2SO4(aq) 21 Na2SO4(aq) + H2O(l) Show how you would convert the energy change expressed in (h) into a value, in kJ mol–1, for the enthalpy change of neutralization, Hneutralizatiion. Show clearly the sign and the expression for the enthalpy change. Hneutralizatiion = ……….. ………………………… kJ mol–1 [2] sign expression Solution: 50 cm3 (a) c1v1 c 2v 2 n1 n2 2 v1 3 50 1 2 v1 (H2SO4) = 375 cm3 temper ature of the solution /°C 37cm 3 0 50cm volume of acid added /cm 3 [3] (b) (c) (d) (e) (f) (i) Volume of acid (ii) Rise in temperature (iii) Loss of heat to surrounding and initial temperature. Burette or pipette. Adding the calculated volume of acid or add acid dropwise. (i) The apparatus is unstable and liquid may spilled out or become hot. (ii) NaOH is very corrosive so it may damage the skin. (i) Place plastic cup in a beaker. (ii) Wear gloves and google. [3] [1] [1] [1] [1] (g) Sr. No. Volume of Acid in cm3 P-5 (Planning, Analysis and Evaluation) Initial Temperature °C Final Temperature °C Rise in Temperature °C Yearly Worked Solutions 170 Chemistry A-Level P-5 June 2010/P51 [2] (h) q = mc∆T q= 50+37.5 +4.2 × ΔT (kj) 1000 (i) q=Y kj Y (kj) = 0.15 mol of NaOH x:1 [1] ΔHneutralisation = sign 2. 0.15 mol of NaOH Y(kj) kJ mol-1 expression [2] M/J 10/P51/Q2 A student reads in a text-book about ideal and non-ideal mixtures of liquids. When two different liquids are mixed, bonds between molecules in each of the different liquids are broken and new bonds are formed between the different molecules in the mixture. In an ideal mixture the energy used to break bonds between molecules in the different liquids is approximately the same as the energy released when new bonds are formed between molecules in the mixture. In a non-ideal mixture the energy used to break bonds in the different liquids is not the same as that released in bond formation. The breaking of bonds is an endothermic process. The formation of bonds is an exothermic process. In order to test this information, the student investigates a number of mixtures of: (i) propane-1-ol, CH3CH2CH2OH, and propan-2-ol, CH3CHOHCH3 (ii) ethanol, CH3CH2OH, and cyclohexane, C6H12. The boiling point of each pure liquid and each mixture is measured. The thermometer used has graduations at 0.2°C. The results for the experiment with propan-1-ol and propan-2-ol, which was carried out four times, are shown. Temperature of boiling mixture / °C Volume/cm3 % (by volume) of propan-1-ol in mixture Mean boiling temperature /°C Propane-1Propan-21 2 3 4 ol ol 0 20.00 82.1 82.6 82.7 82.2 4.00 16.00 85.3 85.4 85.5 85.4 8.00 12.00 88.5 88.4 88.1 88.2 12.00 8.00 91.3 90.6 91.2 91.4 16.00 4.00 94.2 94.0 94.3 94.3 20.00 0 97.1 97.3 97.2 97.8 (a) Indicate below any results that you consider to be anomalies and that should not be included when calculating the mean boiling temperature. [1] (b) Complete the table above to show the following: (i) the percentage (%) by volume of propane-1-ol in each of the liquids/mixtures. (ii) the mean boiling temperature for each of the liquids/mixtures. [2] The experiment is repeated using mixtures of ethanol and cyclohexane. The results of these experiments are given in the table below. volume/cm3 ethanol cyclohexane P-5 (Planning, Analysis and Evaluation) % (by volume) of ethanol in mixture mean boiling temperature / °C Yearly Worked Solutions 171 Chemistry A-Level P-5 0 2.00 6.00 10.00 14.00 18.00 20.00 (c) 20.00 18.00 14.00 10.00 6.00 2.00 0 June 2010/P51 0 10.0 30.0 50.0 70.0 90.0 100.0 81.4 66.5 65.0 65.3 65.5 68.0 78.5 For both graphs below, use as much of the y-axis as possible for experimental data. Do not start your temperature scales at 0°C. Draw a graph of mean boiling temperature (y-axis) against the % of propan-1-ol (xaxis) in the mixture of propan-1-ol and propan-2-ol. Draw a graph of mean boiling temperature (y-axis) against the % of ethanol (x-axis) in the mixture of ethanol and cyclohexane. (d) [3] The graph you have drawn for propane-1-ol and propane-2-ol is typical of ideal mixtures of liquids. The graph you have drawn for ethanol and cyclohexane is typical of some non-ideal mixtures of liquids. From the shape of your graph explain whether the mixing of ethanol and cyclohexane is overall in endothermic or an exothermic process. The mixing of ethanol and cyclohexane is P-5 (Planning, Analysis and Evaluation) Yearly Worked Solutions 172 Chemistry A-Level P-5 June 2010/P51 because What type of intermolecular forces exist between the molecules of (i) pure ethanol, (ii) pure cyclohexane (iii) ethanol and cyclohexane in the mixture? [3] Solution: (a) (b) 90.6 and 97.8, difference is greater as compared to other value. Volume/cm3 Propane-1of Propan-2-ol 0 4.00 8.00 12.00 16.00 20.00 20.00 16.00 12.00 8.00 4.00 0 Temperature of boiling mixture / °C 1 2 3 4 82.1 85.3 88.5 91.3 94.2 97.1 82.6 85.4 88.4 90.6 94.0 97.3 82.7 85.5 88.1 91.2 94.3 97.2 82.2 85.4 88.2 91.4 94.3 97.8 [1] % (By Mean volume) of boiling propan-1- temperature ol in /°C mixture 0 82.4 20 85.4 40 88.3 60 91.3 80 94.2 100 97.2 [2] (c) P-5 (Planning, Analysis and Evaluation) Yearly Worked Solutions 173 Chemistry A-Level P-5 June 2010/P51 Boiling Temperature/C o 100 90 80 0 20 40 60 80 100 0 20 40 60 80 100 Boiling Temperature 80 70 60 % of ethanol (d) [3] The mixing of ethanol and cyclohexane is endothermic because more energy is required to break intermolecular forces them energy released. (i) (ii) (iii) 3. Hydrogen Bonding vander waal forces. vander waal forces [3] M/J 10/P51/Q3 A group of students perform an experiment to confirm that the formula of magnesium oxide is MgO. Each student is provided with a different length of magnesium ribbon which is coiled and heated in a crucible fitted with a lid. The magnesium reacts with oxygen to form magnesium oxide. The instructions for the experiment are as follows: Weigh the empty crucible and lid. P-5 (Planning, Analysis and Evaluation) Yearly Worked Solutions 174 Chemistry A-Level P-5 June 2010/P51 Coil the length of magnesium ribbon and place it in the bottom of the crucible. Reweigh the crucible and lid with the magnesium. Heat the crucible with a Bunsen burner. Periodically lift the crucible lid for a very short period of time. This allows air to enter the crucible. Each time the lid of lifted, take care to minimize the loss of any white smoke which is some of the powder formed. When the reaction appears to have stopped, remove the crucible lid and heat the crucible and its contents strongly for 2 minutes. Cool and reweigh the crucible, lid and the contents. The results of the experiment are given below: (a) (b) Student Mass of crucible and lid /g Mass of crucible and lid + magnesium / g Mass of crucible and lid + magnesium oxide / g 1 25.37 26.62 27.50 2 25.18 27.01 3 25.44 4 Mass of magnesium /g Mass of magnesium oxide / g 28.19 1.83 3.01 27.73 29.19 2.29 3.75 25.26 27.71 24.96 2.45 5 25.39 28.11 29.84 2.72 4.45 6 25.04 27.89 28.54 2.85 3.50 7 25.13 28.08 29.93 Complete the table above for student 1, student 4 and student 7. Plot the data for student 1 and for student 7 on the graph on the next page. [1] If the formula of magnesium oxide is MgO, the straight line indicates the mass of magnesium oxide formed from a given mass of magnesium. P-5 (Planning, Analysis and Evaluation) Yearly Worked Solutions 175 Chemistry A-Level P-5 June 2010/P51 5.00 mass of magnesium oxide /g 4.00 3.00 2.00 1.00 0.00 0.00 1.00 2.00 3.00 mass of magnesium /g (c) (d) (e) (f) Choose a mass of Mg and use the straight line to determine the corresponding mass of MgO formed. …………….. g of magnesium form …………….. g of magnesium oxide. [1] Show by calculation that the masses of magnesium and magnesium oxide selected in (b) correspond to a formula of MgO. [Ar : O, 16.0; Mg, 24.3] [1] The point plotted for student 6 shows a large deviation from the straight line. Refer to the instructions for the experiment and suggest a possible explanation for this anomalous result. [1] The result for student 4 could not be plotted on the graph. Suggest an error in carrying out the experiment that could have led to the result. [1] Student 1 added a few drops of water to the cooled residue in the crucible. The residue and water reacted to produce ammonia gas, NH3. Explain why this observation reduces confidence in this experiment as a method for determining the formula of magnesium oxide. [1] P-5 (Planning, Analysis and Evaluation) Yearly Worked Solutions 176 Chemistry A-Level P-5 June 2010/P51 Solution: (a) (b) (c) Student Mass of crucible and lid / g Mass of crucible and lid + magnesium /g Mass of crucible and lid + magnesium oxide / g Mass of magnesium /g Mass of magnesium oxide / g 1 25.37 26.62 27.50 1.25 2.13 2 25.18 27.01 28.19 1.83 3.01 3 25.44 27.73 29.19 2.29 3.75 4 25.26 27.71 24.96 2.45 5 25.39 28.11 29.84 2.72 4.45 6 25.04 27.89 28.54 2.85 3.50 7 25.13 28.08 29.93 2.95 4.8 2.0 g of magnesium form 3.25 g of magnesium oxide. MgO : Mg 3.25 : 2.00 Oxygen : Mg 1.25 : 2.00 Mole = 1.25 16 : 2.00 2.43 0.078 : 0.082 0.078 0.078 : 0.082 0.078 : : 1.05 1 1 1 1 MgO (d) (e) (f) [1] [1] [1] Too less mass of magnesium oxide, mass is lost in the form of smoke, or some magnesium oxide is escaped with lit. [1] The crucible lid has been connected when weighing the mass. [1] Magnesium must have related with nitrogen to form Mg3N2. [1] P-5 (Planning, Analysis and Evaluation) Yearly Worked Solutions