Experiment Heat of Combustion: Magnesium 18 In Experiment 16, you learned about the additivity of reaction heats as you confirmed Hess’s Law. In this experiment, you will use this principle as you determine a heat of reaction that would be difficult to obtain by direct measurement—the heat of combustion of magnesium ribbon. The reaction is represented by the equation (4) Mg(s) + 1/2 O2(g) MgO(s) This equation can be obtained by combining equations (1), (2), and (3): (1) MgO(s) + 2 HCl(aq) MgCl2(aq) + H2O(l) (2) Mg (s) + 2 HCl(aq) MgCl2(aq) + H2 (g) (3) H2(g) + 1/2 O2(g) H2O(l) The pre-lab portion of this experiment requires you to combine equations (1), (2), and (3) to obtain equation (4) before you do the experiment. Heats of reaction for equations (1) and (2) will be determined in this experiment. As you may already know, H for reaction (3) is -285.8 kJ. Figure 1 MATERIALS Power Macintosh or Windows PC Vernier computer interface Logger Pro Temperature Probe ring stand utility clamp 100-mL graduated cylinder 250-mL beaker Styrofoam cup 1.00 M HCl magnesium oxide, MgO magnesium ribbon, Mg stirring rod balance weighing paper PRE-LAB EXERCISE In the space provided below, combine equations (1), (2), and (3) to obtain equation (4). Chemistry with Computers 18 - 1 Experiment 18 Reversed (1) MgCl2(aq) + H2O(l) MgO(s) + 2 HCl(aq) H1 = opposite sign (2) Mg (s) + 2 HCl(aq) MgCl2(aq) + H2 (g) H2 = (3) H2(g) + 1/2 O2(g) H3 = -285.8 kJ H2O(l) + _______________________________________________ (4) Mg(s) + 1/2 O2(g) MgO(s) H4 = H1 + H2 + H3 PROCEDURE 1. Obtain and wear safety glasses and an apron. 2. Prepare the computer for data collection by opening the Experiment 19 folder from Chemistry with Computers. Then open the experiment file that matches the probe you are using. The vertical axis has temperature scaled from 0 to 50°C. The horizontal axis has time scaled from 0 to 500 seconds. Reaction 1 3. Place a Styrofoam cup into a 250-mL beaker as shown in Figure 1. Measure out 100.0 mL of 1.00 M HCl into the Styrofoam cup. CAUTION: Handle the HCl solution with care. It can cause painful burns if it comes in contact with the skin. 4. Use a utility clamp and a slit stopper to suspend a Temperature Probe from a ring stand as shown in Figure 1. Lower the Temperature Probe into the solution in the Styrofoam cup. 5. Weigh out about 1.00 g of magnesium oxide, MgO, on a piece of weighing paper. Record the exact mass used in your data table. CAUTION: Avoid inhaling magnesium oxide dust. 6. Click Collect to begin data collection and obtain the initial temperature, t1. After three or four readings at the same temperature (t1) have been obtained, add the white magnesium oxide powder to the solution. Use a stirring rod to stir the cup contents until a maximum temperature has been reached and the temperature starts to drop. Click Stop to end data collection. 7. Examine the initial readings in the Table window to determine the initial temperature, t1. To determine the final temperature, t2, click the Statistics button, . The maximum temperature is listed in the statistics box on the graph. Record t1 and t2 in your data table. 8. Discard the solution as directed by your teacher. Reaction 2 9. Repeat Steps 3-8 using about 0.50 g of magnesium ribbon rather than magnesium oxide powder. The magnesium ribbon has been pre-cut to the proper length by your teacher. Be sure to record the measured mass of the magnesium. CAUTION: Do not breathe the vapors produced in the reaction! 18 - 2 Chemistry with Computers Heat of Combustion: Magnesium PROCESSING THE DATA 1. In the spaces provided, calculate the change in temperature, t, for Reactions 1 and 2. 2. Calculate the heat released by each reaction, q, using the formula q = Cp•m•t Cp = 4.18 J/g°C, and m = 100.0 g of HCl solution. Convert joules to kJ in your final answer. 3. Determine H. (H = -q) 4. Determine the moles of MgO and Mg used. 5. Use your Step 3 and Step 4 results to calculate H/mol for MgO and Mg. 6. Determine H/mol Mg for Reaction 4. (Use your Step 5 results, your pre-lab work, and H = -285.8 kJ for Reaction 3). 7. Determine the percent error for the answer you obtained in Step 6. The accepted value for this reaction can be found in a table of standard heats of formation. Chemistry with Computers 18 - 3 Experiment 18 DATA AND CALCULATIONS Reaction 1 (MgO) Reaction 2 (Mg) 1. Volume of 1.00 M HCl 101.58 g 102.06 g 2. Final temperature, t2 33.07 °C 51.17 °C 3. Initial temperature, t1 25.43 °C 25.43 °C 33.07°C – 25.43 °C = 7.64 °C 51.17 °C – 25.43 °C = 25.74°C 1.07 g MgO 0.54 g Mg 4. Change in temperature, t 5. Mass of solid q = m • c • T q = m • c • T q = 101.58 • 4.184 • 7.64 q = 102.06• 4.184 • 25.74 6. Heat, q q = m • c • T where c = 4.184 J/g•C q = 3,247 J x 1 kJ 1000J q = 10,990 J x 1 kJ 1000J 3.25 kJ 10.99 kJ H = -q H = -q H = - 3.25 kJ H = -10.99 kJ 7. H H = -q 8. Moles From Periodic Table Mg = 24.31 g/mol O = 16.00 g/mol MgO = 24.31+16.0=40.31g/mol moles = mass/molar mass moles = mass/molar mass 1.07 g MgO x 1 mol MgO . 40.31 g MgO 0.54 g Mg x 1 mol Mg 24.31 g Mg 0.0265 mol MgO 0.022 mol Mg - 3.25 kJ 0.0265 mol -10.99 kJ 0.022 mol =-499.54 - 500 kJ/mol 9. H/mol - 123 kJ/mol 10. Determine H/mol Mg for reaction (4)*. (1) ___ MgCl2(aq) + H2O(l) → MgO(s) + 2 HCl(aq)____ H1 = +123 kJ/mol (2) ____ Mg (s) + 2 HCl(aq) → MgCl2(aq) + H2 (g)_____ H2 = - 500 kJ/mol (3) ____ H2(g) + 1/2 O2(g) → H2O(l)________________ H3 = - 285.8 kJ/mol (4)* ____ Mg(s) + 1/2 O2(g) → MgO(s)_______________ H4 = H1 + H2 +H3 H4 = +123 + (-500) + (-285.8) H4 = -662.8 = -660 kJ/mol 11. Percent Error % error 18 - 4 Accepted value - experiment al value Accepted value x100 % error 602 kJ/mol - (-660 kJ/mol) 602kJ / mol x100 60 x100 10% 602 Chemistry with Computers