Internal assessment resource number Chem/2/3 – D version 1 PAGE FOR TEACHER USE 2005 Internal Assessment Resource Subject Reference: Chemistry 2.3 Internal assessment resource reference number: Chem/2/3 – D version 1 “Quantitative Chemistry 1” Supports internal assessment for: Achievement Standard 90763 Version 1 Solve simple quantitative chemical problems Credits: 2 Date version published: November 2004 Ministry of Education quality assurance status For use in internal assessment from 2005. © Crown 2004 1 Internal assessment resource number Chem/2.3 – D version 1 : Quantitative Chemistry 1 PAGE FOR STUDENT USE 2005 SUBJECT REFERENCE: CHEMISTRY 2.3 Internal assessment resource reference number: Chem/2/3 D version 1 “Quantitative Chemistry 1” Achievement Standard 90763 Version 1 Solve simple quantitative chemical problems Credits: 2 Time allowed: 1 hour This is a closed book activity. Student Instructions Sheet For some of the following calculations you will need to refer to the Periodic Table on page 5 to find the required molar masses of elements. Give answers to 3 significant figures where appropriate. 1(a) Calculate the molar mass of aluminium oxide, Al2O3. Include units in your answer. (b) Calculate the percentage mass of oxygen in aluminium oxide. 2 Calculate the amount (in moles) of methane, CH4, in 12.5 g of the gas? M(CH4) = 16.0 g mol1 3 Calculate the mass of 5.20 mol of sodium hydroxide, NaOH. M(NaOH) = 40.0 g mol1 © Crown 2004 1 Internal assessment resource number Chem/2.3 – D version 1 : Quantitative Chemistry 1 PAGE FOR STUDENT USE 4(a) Caffeine is a stimulant which has a mass composition of 49.5% carbon, 5.20% hydrogen, 28.9% nitrogen and 16.5% oxygen. Calculate the empirical formula of caffeine. (b) If the molar mass of caffeine is 194 g mol1, use your answer to part (a) above to determine the molecular formula of caffeine. 5 A colorimetric analysis of a solution containing Cu2+(aq) is to be carried out. Calculate the mass of CuSO45H2O that would be needed to prepare 100 mL of a stock solution of concentration 1.50 x 102 mol L1. M(CuSO45H2O) = 249.5 g mol1 6 What mass of CO2 is produced in the complete combustion of 34.5 g of ethanol according to the following equation? C2H5OH + © Crown 2004 3 O2 2 CO2 + 3 H2O 2 Internal assessment resource number Chem/2.3 – D version 1 : Quantitative Chemistry 1 PAGE FOR STUDENT USE 7 What mass of iron can be produced from the reduction of 1.50 kg of iron(III) oxide according to the following equation? Fe2O3 8 + 3 CO 2 Fe + 3 CO2 Hydrated magnesium sulfate is heated in a crucible. The following data is collected. mass of crucible and lid = 26.49 g mass of hydrated magnesium sulfate = 2.12 g mass crucible, lid and magnesium sulfate after first heating = 27.55 g mass of crucible, lid and magnesium sulfate after second heating = 27.52 g Use these results to determine the formula of hydrated magnesium sulfate. M(MgSO4) = 120 g mol1 M(H2O) = 18.0 g mol1 © Crown 2004 3 Internal assessment resource number Chem/2.3 – D version 1 : Quantitative Chemistry 1 PAGE FOR STUDENT USE 9 20.0 mL of an aqueous solution of 0.105 mol L 1 sodium carbonate is titrated with 0.250 mol L1 hydrochloric acid solution. What volume of hydrochloric acid is required to reach the equivalence point of the titration? 2 HCl(aq) + Na2CO3(aq) 2 NaCl(aq) + CO2(g) + H2O(l) 10 500 mL of 0.253 mol L1 NaHCO3 solution is mixed with 800 mL of 0.824 mol L1 NaHCO3 solution. What is the concentration of the final solution? 11 A chemist found that 4.69 g of sulfur combined with fluorine to produce 15.81 g of gas. Determine the empirical formula of the compound. © Crown 2004 4 Internal assessment resource number Chem/2.3 – D version 1 : Quantitative Chemistry 1 PAGE FOR STUDENT USE PERIODIC TABLE OF THE ELEMENTS 18 Atomic Number 1 1 2 3 4 Li 6.9 11 Na 23.0 19 K 39.1 37 Rb 85.5 55 Cs 133 87 Fr 223 Be 9.0 12 Mg 24.3 20 Ca 40.1 38 Sr 87.6 56 Ba 137 88 Ra 226 13 Atomic Mass 5 B 10.8 13 Al 3 4 5 6 7 8 9 10 11 12 27.0 21 22 23 24 25 26 27 28 29 30 31 Sc Ti V Cr Mn Fe Co Ni Cu Zn Ga 45.0 47.9 50.9 52.0 54.9 55.9 58.9 58.7 63.5 65.4 69.7 39 40 41 42 43 44 45 46 47 48 49 Y Zr Nb Mo Tc Ru Rh Pd Ag Cd In 88.9 91.2 92.9 95.9 98.9 101 103 106 108 112 115 71 72 73 74 75 76 77 78 79 80 81 Lu Hf Ta W Re Os Ir Pt Au Hg Tl 175 179 181 184 186 190 192 195 197 201 204 103 104 105 106 107 108 109 Lr Rf Db Sg Bh Hs Mt 262 57 Lanthanide Series Actinide Series © Crown 2004 2 H 1.0 58 59 La Ce Pr 139 140 141 89 90 91 Ac Th Pa 227 232 231 60 61 62 63 Nd Pm Sm Eu 144 147 150 152 92 93 94 95 U Np Pu Am 238 237 239 241 14 15 16 17 6 7 8 9 C 12.0 14 Si 28.1 32 Ge 72.6 50 Sn 119 82 Pb 207 N 14.0 15 P 31.0 33 As 74.9 51 Sb 122 83 Bi 209 O 16.0 16 S 32.1 34 Se 79.0 52 Te 128 84 Po 210 F 19.0 17 Cl 35.5 35 Br 79.9 53 I 127 85 At 210 64 65 66 67 Gd Tb Dy Ho 157 159 163 165 96 97 98 99 Cm Bk Cf Es 247 249 251 254 He 4.0 10 Ne 20.2 18 Ar 40.0 36 Kr 83.8 54 Xe 131 86 Rn 222 68 69 70 Er Tm Yb 167 169 173 100 101 102 Fm Md No 257 258 255 5 Internal assessment resource number Chem/2/3 – D version 1 PAGE FOR TEACHER USE AS90763 Version 1 Assessment Schedule: Quantitative Chemistry 1 Chem 2.3 Q 1 Judgement for Achievement Evidence (a) 102 g mol1 (b) % O = 47.1% Correct molar mass. 2 0.781 mol Correct 3 208 g Correct 4(a) n(C) = 49 .5 g 12 .0 g mol n(N) = 1 49 .5 g 12 .0 g mol 1 = 4.13 mol n(H) = 49 .5 g 12 .0 g mol = 2.06 mol n(O) = 1 49 .5 g 12 .0 g mol 1 = 5.20 mol Judgement for Merit Judgement for Excellence Correct %. Amount in moles of each element correct. Empirical formula correct. Correct process, but incorrect empirical formula used. Molecular formula correct. One step of calculation correct. Correct determination of mass of CuSO4.5H2O Correct process used in either step (i) or (iii). Correct process with one error. = 1.03 mol empirical formula C4H5N2O 4(b) 5 molecular formula C8H10N4O2 (i) n(CuSO45H2O) = 0.0150 mol L1 x 0.100 L = 1.50 x 102 mol (ii) m(CuSO45H2O) = 1.5 x 10-2 mol x 249.5 g mol1 = 0.374 g 6 M(C2H5OH) = 46.0 g mol1 (i) n(C2H5OH) = 34.5 g / 46.0 g mol1 = 0.750 mol (ii) n(CO2) = 2 x n(C2H5OH) = 1.50 mol (iii) m(CO2) = 1.50 mol x 44.0 g mol1 = 66.0 g © Crown 2004 Correct answer for mass of CO2 produced. eg An incorrect molar mass or incorrect mole ratio used. 6 Internal assessment resource number Chem/2/3 – D version 1 PAGE FOR TEACHER USE 7 M(Fe2O3) = 160 g mol1 (i) n(Fe2O3) =1500 g / 160 g mol1 = 9.38 mol Correct process used in either step (i) or (iii). Correct process with one error. Correct answer for mass of Fe produced. eg An incorrect molar mass or incorrect mole ratio used or incorrect conversion from kg to g. Answers for individual steps may have more than 3 sf but final answer given to 3sf. Correct determination of masses of MgSO4 and H2O. Correct determination of either amount of MgSO4 or H2O. Correct formula for hydrated salt. Correct determination of n(Na2CO3). Correct determination of n(HCl). Correct determination of volume of hydrochloric acid. One step of calculation correct. Correct process with one error. Correct determination of concentration of final solution. (ii) n(Fe) = 2 x n(Fe2O3) = 18.8 mol (iii) m(Fe) = 18.8 mol x 55.9 g mol1 = 1050 g (1.05 kg) 8 mass of anhydrous MgSO4 = 1.03 g mass of H2O = 1.09 g amount of MgSO4 = 1.03 g / 120 g mol1 = 8.58 x 103 mol amount H2O = 1.09 g / 18.0 g mol1 = 6.06 x 102 mol ratio n(H2O) / n(MgSO4) = 7 formula is MgSO4.7H2O 9 n(Na2CO3) = 0.105 mol L1 x 0.0200 L = 2.10 x 103 mol n(HCl) = 2 x 2.10 x 103 mol = 4.20 x 103 mol V(HCl) = 4.20 x 103 mol / 0.250 mol L1 = 1.68 x 102 L = 16.8 mL 10 (i) n(NaHCO3) = (0.253 mol L1 x 0.500 L) + (0.824 mol L1 x 0.800 L) = 0.786 mol (ii) total volume = 1.30 L (iii) concentration of final solution = 0.786 mol / 1.3 L = 0.604 mol L1 © Crown 2004 7 Internal assessment resource number Chem/2/3 – D version 1 PAGE FOR TEACHER USE 11 (i) n(S) = 4.69 g 32 .0 g mol 1 = 0.1465 mol One step of calculation correct. (ii) m(F) = 15.81 4.69 = 11.12 g (iii) n(F) = 11 .12 g 19 .0 g mol 1 Correct process with one error. Correct determination empirical formula. eg Incorrect mass of F. = 0.5853 mol (iv) Hence S : F = 1 : 4 and empirical formula is SF4. Correct use of significant figures and units is required for answers at excellence level. Sufficiency Statement In the application of the assessment schedule, the student's response to each question is only awarded one level of A, M or E. The requirements for sufficiency are as follows: Achievement 7 answers at achievement level. Merit 6 answers at merit level PLUS 3 other answers at achievement level. Excellence 4 answers at excellence level PLUS 4 other answers at merit level AND 3 other answers at achievement level. © Crown 2004 8