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Chapter 6 Thermochemistry QUESTION A gas absorbs 0.0 J of heat and then performs 15.2 J of work. The change in internal energy of the gas is: 1) –24.8 J. 2) 14.8 J. 3) 55.2 J. 4) –15.2 J. 5) none of these. Copyright © Houghton Mifflin Company. All rights reserved. CRS Question, 6–2 ANSWER 4) –15.2 J. Section 6.1 The Nature of Energy (p. 229) When q = 0, then the internal energy equals the work. Copyright © Houghton Mifflin Company. All rights reserved. CRS Question, 6–3 QUESTION Of energy, work, enthalpy, and heat, how many are state functions? 1) 0 2) 1 3) 2 4) 3 5) 4 Copyright © Houghton Mifflin Company. All rights reserved. CRS Question, 6–4 ANSWER 3) 2 Section 6.1 The Nature of Energy (p. 229) The original experiment determining that heat was not a state function was conducted during the boring of cannons. It was found that if the drill was dull, heat could be produced indefinitely without boring deeper into the metal. Copyright © Houghton Mifflin Company. All rights reserved. CRS Question, 6–5 QUESTION For a particular process q = 20 kJ and w = 15 kJ. Which of the following statements is true? 1) Heat flows from the system to the surroundings. 2) The system does work on the surroundings. 3) E = 35 kJ. 4) All of these are true. 5) None of these are true. Copyright © Houghton Mifflin Company. All rights reserved. CRS Question, 6–6 ANSWER 3) E = 35 kJ. Section 6.1 The Nature of Energy (p. 229) Internal energy = q + w. The heat and work both have a positive sign indicating energy flowed from the system to the surroundings. Copyright © Houghton Mifflin Company. All rights reserved. CRS Question, 6–7 QUESTION Which of the following statements is correct? 1) The internal energy of a system increases when more work is done by the system than heat was flowing into the system. 2) The internal energy of a system decreases when work is done on the system and heat is flowing into the system. 3) The system does work on the surroundings when an ideal gas expands against a constant external pressure. 4) All statements are true. 5) All statements are false. Copyright © Houghton Mifflin Company. All rights reserved. CRS Question, 6–8 ANSWER 3) The system does work on the surroundings when an ideal gas expands against a constant external pressure. Section 6.1 The Nature of Energy (p. 229) The gas molecules of the atmosphere have an average distance from each other. Copyright © Houghton Mifflin Company. All rights reserved. CRS Question, 6–9 ANSWER (continued) A gas from a reaction expanding into the atmosphere must force all the gas molecules nearby closer together. This is the work the gas does on the atmosphere. Copyright © Houghton Mifflin Company. All rights reserved. CRS Question, 6–10 QUESTION Which one of the following statements is false? 1) The change in internal energy, E, for a process is equal to the amount of heat absorbed at constant volume, qv. 2) The change in enthalpy, H, for a process is equal to the amount of heat absorbed at constant pressure, qp. 3) A bomb calorimeter measures H directly. 4) If qp for a process is negative, the process is exothermic. 5) The freezing of water is an example of an exothermic reaction. Copyright © Houghton Mifflin Company. All rights reserved. CRS Question, 6–11 ANSWER 3) A bomb calorimeter measures H directly. Section 6.2 Enthalpy and Calorimetry (p. 235) Enthalpy is heat at constant pressure. The pressure can change drastically inside of a bomb calorimeter. Copyright © Houghton Mifflin Company. All rights reserved. CRS Question, 6–12 QUESTION You take 200. g of a solid at 30.0C and let it melt in 400. g of water. The water temperature decreases from 85.1C to 30.0C. Calculate the heat of fusion of this solid. 1) 125 J/g 2) 285 J/g 3) 461 J/g 4) 518 J/g 5) cannot without the heat capacity of the solid Copyright © Houghton Mifflin Company. All rights reserved. CRS Question, 6–13 ANSWER 3) 461 J/g Section 6.2 Enthalpy and Calorimetry (p. 235) The heat of fusion of the ice is found indirectly from the heat loss of the water. Copyright © Houghton Mifflin Company. All rights reserved. CRS Question, 6–14 QUESTION For a particular process q = –17 kJ and w = 21 kJ. Which of the following statements is false? 1) Heat flows from the system to the surroundings. 2) The system does work on the surroundings. 3) E = +4 kJ 4) The process is exothermic. 5) None of these is false. Copyright © Houghton Mifflin Company. All rights reserved. CRS Question, 6–15 ANSWER 3) E = +4 kJ Section 6.1 The Nature of Energy (p. 229) For a thermodynamic process we are only interested in the change of energy, E. E is the energy of a particular state. Copyright © Houghton Mifflin Company. All rights reserved. CRS Question, 6–16 QUESTION In the lab, you mix two solutions (each originally at the same temperature) and the temperature of the resulting solution decreases. Which of the following is true? 1) The chemical reaction is releasing energy. 2) The energy released is equal to s m T. 3) The chemical reaction is absorbing energy. 4) The chemical reaction is exothermic. 5) More than one of these. Copyright © Houghton Mifflin Company. All rights reserved. CRS Question, 6–17 ANSWER 3) The chemical reaction is absorbing energy. Section 6.2 Enthalpy and Calorimetry (p. 235) The temperature drops because the reactants are absorbing energy from the solution faster than the surroundings can replace it. Copyright © Houghton Mifflin Company. All rights reserved. CRS Question, 6–18 QUESTION For the reaction H2O(l) H2O(g) at 298 K, 1.0 atm, H is more positive than E by 2.5 kJ/mol. This quantity of energy can be considered to be: 1) the heat flow required to maintain a constant temperature. 2) the work done in pushing back the atmosphere. 3) the difference in the H—O bond energy in H2O(l) compared to H2O(g). 4) the value of H itself. 5) none of these Copyright © Houghton Mifflin Company. All rights reserved. CRS Question, 6–19 ANSWER 2) the work done in pushing back the atmosphere. Section 6.2 Enthalpy and Calorimetry (p. 235) The gas molecules need to use some energy to move atmospheric gas molecules out of their way. Copyright © Houghton Mifflin Company. All rights reserved. CRS Question, 6–20 QUESTION If 5.0 kJ of energy is added to a 15.5-g sample of water at 10.C, the water is: 1) boiling. 2) completely vaporized. 3) frozen solid. 4) decomposed. 5) still a liquid. Copyright © Houghton Mifflin Company. All rights reserved. CRS Question, 6–21 ANSWER 5) still a liquid. Section 6.2 Enthalpy and Calorimetry (p. 235) q = s m T. q = 5.0 kJ, s = 4.184 J/g C and m = 15.5 g. Solving for T shows that the water was not raised to the 100C necessary for boiling. Copyright © Houghton Mifflin Company. All rights reserved. CRS Question, 6–22 QUESTION Given the equation S(s) + O2(g) SO2(g), H = –296 kJ, which of the following statement(s) is (are) true? a. b. c. The reaction is exothermic. When 0.500 mole sulfur is reacted, 148 kJ of energy is released. When 32.0 g of sulfur are burned, 5 2.96 10 J of energy is released. Copyright © Houghton Mifflin Company. All rights reserved. CRS Question, 6–23 QUESTION (continued) 1) 2) 3) 4) 5) All are true. None is true. a and b are true. a and c are true. Only b is true. Copyright © Houghton Mifflin Company. All rights reserved. CRS Question, 6–24 ANSWER 1) All are true. Section 6.2 Enthalpy and Calorimetry (p. 235) The minus sign indicates that the reaction is exothermic. Copyright © Houghton Mifflin Company. All rights reserved. CRS Question, 6–25 QUESTION What is the specific heat capacity of gold if it requires 48.8 J to raise the temperature of 15 grams of gold 25C? 1) 29 J/gC 2) 0.13 J/gC 3) 79 J/gC 4) 0.011 J/gC 5) none of these Copyright © Houghton Mifflin Company. All rights reserved. CRS Question, 6–26 ANSWER 2) 0.13 J/gC Section 6.2 Enthalpy and Calorimetry (p. 235) 235 A common mistake is attempting to solve for the heat capacity instead of specific heat capacity. Using and keeping track of the units of measure takes care of this type of problem. Copyright © Houghton Mifflin Company. All rights reserved. CRS Question, 6–27 QUESTION The heat of formation of Fe2O3(s) is –826 kJ/mol. Calculate the heat of the reaction 4Fe(s) + 3O2(g) 2Fe2O3(s) when a 55.8-g sample of iron is reacted. 1) –206 kJ 2) –413 kJ 3) –826 kJ 4) –1650 kJ 3 5) –3.30 10 kJ Copyright © Houghton Mifflin Company. All rights reserved. CRS Question, 6–28 ANSWER 2) –413 kJ Section 6.2 Enthalpy and Calorimetry (p. 235) Don’t forget to convert grams to moles in this problem. Enthalpy is always in units of kJ/mol. Copyright © Houghton Mifflin Company. All rights reserved. CRS Question, 6–29 QUESTION When 0.157 mol NH3 is reacted with excess HCl, 6.91 kJ of energy is released as heat. What is H for this reaction per mole of NH3 consumed? 1) –22.7 J 2) –1.08 kJ 3) –44.0 kJ 4) +22.7 J 5) +44.0 kJ Copyright © Houghton Mifflin Company. All rights reserved. CRS Question, 6–30 ANSWER 3) 44.0 kJ –44.0 Section 6.2 Enthalpy and Calorimetry (p. 235) A common mistake is use the wrong sign for the enthalpy. Careful reading of the problem will indicate the sign that must be used. Copyright © Houghton Mifflin Company. All rights reserved. CRS Question, 6–31 ANSWER (continued) Phrases like “heat is released”, “heat is given off” or “heat is emitted” indicate that a minus sign is used. Phrases like “heat is absorbed” or “heat is added” indicate that a plus sign is used. Copyright © Houghton Mifflin Company. All rights reserved. CRS Question, 6–32 QUESTION If a student performs an endothermic reaction in a calorimeter, how does the calculated value of H differ from the actual value if the heat exchanged with the calorimeter is not taken into account? Copyright © Houghton Mifflin Company. All rights reserved. CRS Question, 6–33 QUESTION (continued) 1) 2) 3) 4) 5) Hcalc would be more negative because the calorimeter always absorbs heat from the reaction. Hcalc would be less negative because the calorimeter would absorb heat from the reaction. Hcalc would be more positive because the reaction absorbs heat from the calorimeter. Hcalc would be less positive because the reaction absorbs heat from the calorimeter. Hcalc would equal the actual value because the calorimeter does not absorb heat. Copyright © Houghton Mifflin Company. All rights reserved. CRS Question, 6–34 ANSWER 4) Hcalc would be less positive because the reaction absorbs heat from the calorimeter. Section 6.2 Enthalpy and Calorimetry (p. 235) Most calorimeters are at least partly made of metal and metals have high thermal conductivity, so ignoring the heat loss to the calorimeter will lead to poor accuracy in your results. Copyright © Houghton Mifflin Company. All rights reserved. CRS Question, 6–35 QUESTION Consider the following numbered processes: a. b. c. A 2B BC+D E 2D H for the process A 2C + E is Copyright © Houghton Mifflin Company. All rights reserved. CRS Question, 6–36 QUESTION 1) 2) 3) 4) 5) H1 + H2 + H3 H1 + H2 H1 + H2 – H3 H1 + 2H2 – H3 H1 + 2H2 + H3 Copyright © Houghton Mifflin Company. All rights reserved. CRS Question, 6–37 ANSWER 4) H1 + 2H2 – H3 Section 6.3 Hess’s Law (p. 242) The final equation is found by summing the reactions as follows: I + 2(II) – III. The minus sign means the reaction is reversed. Copyright © Houghton Mifflin Company. All rights reserved. CRS Question, 6–38 QUESTION Consider the following standard heats of formation: P4O10(s) = –3110 kJ/mol H2O(l) = –286 kJ/mol H3PO4(s) = –1279 kJ/mol Calculate the change in enthalpy for the following process: P4O10(s) + 6H2O(l) 4H3PO4(s) Copyright © Houghton Mifflin Company. All rights reserved. CRS Question, 6–39 ANSWER –290 kJ Section 6.4 Standard Enthalpies of Formation (p. 246) Remember to multiply the heat of formation of each compound by its coefficient. Copyright © Houghton Mifflin Company. All rights reserved. CRS Question, 6–40 QUESTION Which of the following is not being considered as an energy source for the future? 1) Ethanol 2) Methanol 3) Seed oil 4) Shale oil 5) Carbon dioxide Copyright © Houghton Mifflin Company. All rights reserved. CRS Question, 6–41 ANSWER 5) Carbon dioxide Section 6.6 New Sources of Energy (p. 256) Carbon dioxide is a very stable product of most combustion reactions. It will not react further to produce more useful heat. Copyright © Houghton Mifflin Company. All rights reserved. CRS Question, 6–42