8. A fuel-air mixture is placed in a cylinder fitted with a piston. The original volume is 0.320-L. When the mixture is ignited, gases are produced and 805 J of energy is released. To what volume will the gases expand against a constant pressure of 635 mmHg, if all the energy released is converted to work to push the piston?

(A) 9.19 L

(B) 6.96 L

(C) 9.83 L

(D) 9.51 L

(E) 1.59 L

17. A fuel-air mixture is placed in a cylinder fitted with a piston. The original volume is 0.320-L. When the mixture is ignited, gases are produced and 805 J of energy is released. To what volume will the gases expand against a constant pressure of 635 mmHg, if all the energy released is converted to work to push the piston? (A)9.19 L (B)6.96 L (C)9.83 L (D)9.51 L (E)1.59 L

9. Consider the following processes: 2A → (1/2)B + C ΔH₁ = 5 kJ/mol (3/2)B + 4C → 2A + C + 3D ΔH₂ = -15 kJ/mol E + 4A → C ΔH₃ = 10 kJ/mol Calculate ΔH for: C → E + 3D (A) 0 kJ/mol (B) 10 kJ/mol (C) -10 kJ/mol (D) -20 kJ/mol (E) 20 kJ/mol

10. Given a cylinder of fixed volume filled with 1 mol of argon gas, which of the following is correct? (Assume all gases obey the ideal gas law.) (A) If the temperature of the cylinder is changed from 25°C to 50°C, the pressure inside the cylinder will double. (B) If a second mole of argon is added to the cylinder, the ratio T/P would remain constant. (C) A cylinder of identical volume filled with the same pressure of helium must contain more atoms of gas because He has a smaller atomic radius than argon. (D) Two of the above. (E) None of the above.

11. The valve between the 2.00-L bulb, in which the gas pressure is 1.00 atm, and the 3.00-L bulb, in which the gas pressure is 3.10 atm, is opened. What is the final pressure in the two bulbs, the temperature remaining constant? (圖示：一個2.0 L的球形容器與一個3.0 L的球形容器由閥門連接) (A) 0.400 atm (B) 1.84 atm (C) 2.26 atm (D) 1.86 atm (E) 2.05 atm

12. Which of the following is the correct order of boiling points for KNO₃, CH₃OH, C₂H₆, Ne? (A) Ne < CH₃OH < C₂H₆ < KNO₃ (B) KNO₃ < CH₃OH < C₂H₆ < Ne (C) Ne < C₂H₆ < KNO₃ < CH₃OH (D) Ne < C₂H₆ < CH₃OH < KNO₃ (E) C₂H₆ < Ne < CH₃OH < KNO₃

13. Which of the following statements is (are) false? I. The layering in a hexagonal closest-packed structure is aba. II. A body-centered cubic unit cell has four atoms per unit cell. III. For unit cells having the same edge length, a simple cubic structure would have a smaller density than a body-centered cube. IV. Atoms in a solid consisting of only one element would have six nearest neighbors if the crystal structure were a simple cubic array. (A) I (B) II (C) II, III (D) I, IV (E) II, III, IV

14. At 40°C, heptane has a vapor pressure of about 92.0 torr and octane has a vapor pressure of about 31.2 torr. Assuming ideal behavior, what is the vapor pressure of a solution that contains twice as many moles of heptane as octane? (A) 61.3 torr (B) 51.5 torr (C) 71.7 torr (D) 82.1 torr (E) none of these

15. The freezing point (Tf) for t-butanol is 25.50°C and Kf is 9.1°C/m. Usually t-butanol absorbs water on exposure to the air. If the freezing point of a 7.6-g sample of t-butanol is measured as 24.59°C, how many grams of water are present in the sample? (A) 0.10 g (B) 0.014 g (C) 10. g (D) 1.4 g (E) 14 g

16. A first-order reaction is 45% complete at the end of 33 minutes. What is the length of the half-life of this reaction? (A) 38 min (B) 29 min (C) 2.0 h (D) 48 min (E) none of these

17. The rate constant for a reaction at 40.0°C is exactly 3 times that at 20.0°C. Calculate the Arrhenius energy of activation for the reaction. (A) 9.13 kJ/mol (B) 5.04 kJ/mol (C) 41.9 kJ/mol (D) 3.00 kJ/mol (E) none of these

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