Print Student Worksheet Solutions LSM 11.5G Solutions for Multi-Step Energy Calculations, Extra Exercises 1. For the following combustion reaction, what mass of carbon dioxide is produced when 1500 kJ of energy is released? 2 C2H6(g) + 7 O2(g) o4 CO2(g) + 6 H2O(g) + 2502 kJ ǻ H -2502 kJ ǻc H mol = c = = -626 kJ/mol CO 2 n 4 mol ǻc H = nǻc H mol 1 mol × 626 kJ/mol 44.01 g m = 105 g According to the evidence given, 106 g carbon dioxide will be produced for every 1500 kJ of energy released. 1500 kJ = m × 2. How much energy is released when 1.00 t of sulfur trioxide is produced by the following reaction? 2 SO2(g) + O2(g) o 2 SO3(g) 'rH = –192.8 kJ ǻ H -192.8 kJ ǻr H mol = r = = -96.4 kJ/mol SO 3 n 2 mol ǻr H = nǻr H mol 1 mol 96.4 kJ × = 1.20 GJ 80.06 g 1 mol According to the evidence given, 1.20 GJ of energy is released when 1.00 t of sulfur trioxide is produced. = 1.00 Mg × 3. In respiration, glucose is oxidized by oxygen gas to produce carbon dioxide gas, liquid water, and energy. What is the energy released when 18.0 g of glucose is consumed? C6H12O6(s) + 6 O2(g) o 6 CO2(g) + 6 H2O(l) ǻr H ° = nǻfP H ° - nǻfR H ° ¦ ¦ -393.5 kJ -285.8 kJ · § -1273.3 kJ -0 kJ · § = ¨ 6 mol × + 6 mol × - ¨ 1 mol × + 6 mol × ¸ ¸ © 1 mol 1 mol ¹ © 1 mol 1 mol ¹ = -4075.8 kJ - -1273.3 kJ = -2802.5 kJ -2802.5 kJ = 2802.5 kJ/mol C6 H12O6 1 mol ǻc H = nǻc H mol 1 mol -2802.5 kJ = 18.0 g × × 180.18.g 1 mol = -280 kJ According to referenced information, 280 kJ of energy is released when 18.0 g of glucose is consumed. ǻc H mol = 400 Unit 6 Lab and Study Masters Copyright © 2007 Thomson Nelson Edit in MsWord LSM 11.5G (cont’d) 4. Methanol is burned in a bomb calorimeter. Liquid water is formed as a product. If 3.40 g of methanol reacts, what is the expected temperature change in a 6.00 kg calorimeter with a heat capacity of 1.125 J/(g•°C)? CH3OH(l) + 3 O2(g) o CO2(g) + 2 H2O(l) 2 ǻr H ° = ¦ nǻfP H ° - ¦ nǻfR H ° -393.5 kJ -285.8 kJ · § -277.6 kJ 3 0 kJ · § = ¨ 1 mol × + 2 mol × - ¨ 1 mol × + mol × ¸ ¸ © 1 mol 1 mol ¹ © 1 mol 2 1 mol ¹ = -965.1 kJ - -277.6 kJ = -687.5 kJ ǻc H mol = -687.5 kJ = -687.5 kJ/mol CH 3OH 1 mol ǻc H = mcǻt (methanol) 3.40 g × (calorimeter) 1 mol -687.5 kJ J × = 1.00 kg ×1.125 × ǻt 32.05 g 1 mol g • oC ǻt = 10.8 o C According to referenced information and the evidence provided, the temperature of the calorimeter will change by 10.8 qC is released when 3.40 g of methanol is burned. 5. A waste heat exchanger is used to absorb the energy from the complete combustion of hydrogen sulfide gas. What volume of water undergoing a temperature change of 64 °C is required to absorb all of the energy from the burning of 15 kg of hydrogen sulfide? H2S(g) + 3 O2(g) o SO2(g) + H2O(g) 2 ǻr H ° = ¦ nǻfP H ° - ¦ nǻfR H ° -296.8 kJ -241.8 kJ · § -20.6 kJ 3 0 kJ · § = ¨ 1 mol × + 1 mol × - ¨ 1 mol × + mol × ¸ ¸ © 1 mol 1 mol ¹ © 1 mol 2 1 mol ¹ = -538.6 kJ - -20.6 kJ = -508.0 kJ ǻc H mol = -508.0 kJ = -508.0 kJ/mol H 2S 1 mol ǻc H = Q (H 2S) (water) nǻc H mol = mcǻt 15 kg × 1 mol -508.0 kJ 4.19 J × = m× × 64 o C o 34.09 g 1 mol g• C m = 834 kg V = 8.3 ×102 L According to referenced information and the evidence provided, 8.3 u 102 L of water will warm by 64 qC when 15 kg of hydrogen sulfide is burned. Copyright © 2007 Thomson Nelson Unit 6 Lab and Study Masters 401
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