Name: __________________________ Date: _____________ Columbia UNI: Instructions: You will have 85 minutes to answer the questions on this exam. It consists of 20 multiple choice questions, each worth 1 point. You will be permitted to use a calculator and the attached reference sheets. GOOD LUCK! 1. When the following reaction is balanced in acidic solution, what is the coefficient of water? Zn(s) + NO3–(aq) Zn2+(aq) + NH4+(aq) A) 1 (11 using H3O+) B) 2 (12 using H3O+) C) 3 (13 using H3O+) D) 4 (14 using H3O+) E) none of these 2. For the reaction of sodium bromide with chlorine gas to form sodium chloride and bromine, what are the appropriate half-reactions and the standard cell potential? (ox = oxidation and re = reduction) A) ox: Cl2 + 2e– 2Cl–; re: 2Br– Br2 + 2e–; Eo = -0.17 V B) ox: 2Br– Br2 + 2e–; re: Cl2 + 2e– 2Cl–; Eo = 0.17 V C) ox: Cl + e– Cl–; re: Br Br– + e–; Eo = 0.17 V D) ox: Br + 2e– Br2–; re: 2Cl– Cl2 + 2e–; Eo = -0.17 V + – E) ox: 2Na + 2e 2Na; re: 2Cl– Cl2 + 2e–; Eo = -4.07 V 3. In the balanced equation for the following redox equation, what is the sum of the coefficients? Fe3+ + I– Fe2+ + I2 A) 4 B) 5 C) 6 D) 7 E) 8 4. Which one of the following statements is false? A) The change in internal energy, E, for a process is equal to the amount of heat absorbed at constant volume, qv. B) The change in enthalpy, H, for a process is equal to the amount of heat absorbed at constant pressure, qp. C) A bomb calorimeter measures H directly. D) If qp for a process is negative, the process is exothermic. E) The freezing of water is an example of an exothermic reaction. 5. The total volume of hydrogen gas needed to fill the Hindenburg was 2.00 108 L at 1.00 atm and 25.0°C. How much energy was evolved when it burned? H2(g) + (1/2)O2(g) H2O(l), H = –286 kJ A) 3.5 1011 kJ B) 8.18 106 kJ C) 2.86 104 kJ D) 2.34 109 kJ E) 5.72 1010 kJ Use the following to answer questions 6-7: Consider a process carried out on 1.00 mol of a monatomic ideal gas by the following two different pathways. The first pathway is A (3.00 atm, 20.0 L) to C (1.00 atm, 20.0 L) to D (1.00 atm, 50.0 L); and the second pathway is A (3.00 atm, 20.0 L) to B (3.00 atm, 50.0 L) to D (1.00 atm, 50.0 L). In each case, the gas is taken from state A to state D. 6. Calculate wAB. A) -90 L•atm B) 90 L•atm C) -30 L•atm D) 30 L•atm E) 0 7. Calculate qAC. A) 60 L•atm B) -60 L•atm C) 100 L•atm D) -100 L•atm E) none of these Use the following to answer question 8: Two samples of a monatomic ideal gas are in separate containers at the same conditions of pressure, volume, and temperature (V = 1.00 L and P = 1.00 atm). Both samples undergo changes in conditions and finish with V = 2.00 L and P = 2.00 atm. However, in the first sample, the volume is changed to 2.0 L while the pressure is kept constant, and then the pressure is increased to 2.00 atm while the volume remains constant. In the second sample, the opposite is done. The pressure is increased first, with constant volume, and then the volume is increased under constant pressure. 8. Calculate the difference in E between the first sample and the second sample. A) 0 B) 1.00 L•atm C) 2.00 L•atm D) 4.50 L•atm E) none of these 9. For the reaction AgI(s) + (1/2)Br2(g) AgBr(s) + (1/2)I2(s), H° = –54.0 kJ H°f for AgBr(s) = –100.4 kJ/mol H°f for Br2(g) = +30.9 kJ/mol The value of H°f for AgI(s) is A) –123.5 kJ/mol B) +77.3 kJ/mol C) +61.8 kJ/mol D) –77.3 kJ/mol E) –61.8 kJ/mol 10. One mole of an ideal gas is compressed isothermally at 607.4 K from 5.60 atm to 8.90 atm. If the process is carried out in two irreversible steps (intermediate step at P = 7.00 atm), calculate S. A) 2.34 J/K B) -2.34 J/K C) -3.85 J/K D) 3.85 J/K E) 0 J/K 11. An ideal gas expands isothermally and irreversibly. What can you say about w and q, respectively? A) w is less than zero and q is greater than zero. B) w is equal to zero and q is equal to zero. C) w is greater than zero and q is less than zero. D) w is less than zero and q is less than zero. E) More information is needed. 12. Substance X has a heat of vaporization of 55.4 kJ/mol at its normal boiling point (423°C). For the process X(l) X(g) at 1 atm and 423°C, calculate the value of Ssurr. A) 0 B) 79.6 J/K•mol C) 103 J/K•mol D) -79.6 J/K•mol E) -103 J/K•mol 13. A machine employs the isothermal expansion of 1 mol of an ideal gas from 4.50 L to 15.0 L. At 25°C, the machine performs 3.00 kJ of work. What percent of the maximum possible work is the machine producing? A) 4.50% B) 50.3% C) 0.60% D) 15.0% E) This amount of work cannot be correct. 14. Calculate G for the isothermal compression of 1 mol of an ideal monatomic gas from 2.3 atm to 6.0 atm at 28°C. A) 2.4 103 J B) 1.8 103 J C) -2.4 103 J D) -1.8 103 J E) 3.6 103 J 15. The equilibrium constant Kp for the dissociation reaction of Cl2 Cl2(g) 2Cl(g) was measured as a function of temperature (in K). A graph of ln Kp versus 1/T for this reaction gives a straight line with a slope of –1.352 104 and an intercept of 14.51. What is the value of S for this dissociation reaction? Hint: Think of the relationship between G, H, S and Kp. A) 26.81 J/K•mol B) 112.0 J/K•mol C) 120.6 J/K•mol D) 53.14 J/K•mol E) none of these 16. Consider the reaction 2N2O5(g) 4NO2(g) + O2(g) at 25°C, for which the following data are relevant: S° (J/K•mol) H°f (kJ/mol) N2O5 11.29 355.3 NO2 33.15 239.9 O2 0 204.8 The reaction is allowed to proceed until all substances involved have reached their equilibrium concentrations. Under those conditions, what is G for the reaction? A) –135 kJ B) 98.7 kJ C) –25.2 kJ D) –11.2 kJ E) 0 17. Consider a galvanic cell that utilizes the following reaction (unbalanced): (AuCl4)–(aq) + Cu(s) Au(s) + Cl–(aq) + Cu2+(aq) Determine the standard cell potential. Hint: Think of what the oxidation number of Au is in (AuCl4)-. A) B) C) D) E) 1.06 V 1.74 V 1.35 V -1.35 V 1.84 V 18. Consider the hydrogen–oxygen fuel cell where H2(g) + ½ O2(g) H2O(l) G° = –237.18 kJ/mol H2 Which of the following statements is(are) true? I. At standard conditions, the maximum work the fuel cell could do on the surroundings is 237.18 kJ/mol. II. At standard conditions, the cell potential is 1.23 V. III. More energy is dissipated as waste heat in the fuel cell than in the reversible pathway. A) I B) II C) III D) I, II, and III E) None of the statements is true. 19. An antique automobile bumper is to be chrome plated. The bumper, which is dipped into an acidic Cr2O72– solution, serves as a cathode of an electrolytic cell. If the current is 35.2 amperes, how long will it take to deposit 2.46 102 g of Cr(s) onto the bumper? Hint: Determine the oxidation number of Cr in Cr2O72- and balance the redox reaction. A) B) C) D) E) 43.2 h 21.6 h 36.0 min 37.3 h 14.4 h 20. Refer to the galvanic cell below (the contents of each half-cell are written beneath each compartment). The standard reduction potentials are as follows: MnO4 + 8H+ + 5e– Mn2+ + 4H2O E = 1.51 V – Cr2O72– +14H+ + 6e– 2 Cr3+ +7H2O E = 1.33 V What is the value of Q, the reaction quotient, for this cell reaction? A) 6.7 1040 B) 1.5 10–41 C) 1.5 10–4 D) 6.7 103 S1404 General Chemistry II Prof. Savizky Useful Information Universal Gas Constant: Temperature: Definitions: Equations of State: R= 8.314 J/mol*K = 1.987 cal/mol*K = 0.0821 L*atm/mol*K K C 273.15 U cv T v H cp T P Perfect gas van der Waals Virial Perfect gases: Monatomic: U U (T ) H H (T ) c p cv nR Pv RT a P 2 v b RT v Pv B C Z 1 2 RT v v 3 R 2 5 cp R 2 For each atom add a value of R (linear) or 3/2 R (non-linear). cv Thermodynamics: 1st Law du dq dw dU dQ dW u q w U Q W 2 Law dQrev dS T Stot 0( spon. process ) rd 3 Law lim S 0 T 0 nd State functions: H U PV A U TS G H TS Work: General (PV work only): Isothermal (perfect gas): Isobaric: Internal Energy: Constant volume, cv: Enthalpy: Constant pressure, cp: Adiabatic Processes: dWrev PdV V P W nRT ln 2 nRT ln 2 V1 P1 W Pext V U ncv T H nc p T P1V1 P2V2 , c p / cv Constant cp, cv: T2 V1 T1 V2 nR cv T2 P1 T1 P2 nR c p Entropy: dQ T General: dS Isothermal (perfect gas): S nR ln V2 V1 T2 T1 T S ncv ln 2 T1 H trans S T S nc p ln Isobaric (constant cp): Isochoric (constant cv): Phase Transition: Free Energy: P2 G VdP Isothermal: P1 Constant volume: G VP Perfect gas: G nRT ln P2 P1 G Grxn P ,T Reactions: o Grxn Grxn RT ln Q Q [molarity ]i i At equilibrium: Grxn RT ln K K [molarity ]i i van’t Hoff: o d ln K H rxn dT RT 2 o H rxn d ln K d (1 / T ) R ln H rxn K2 K1 R 1 1 T2 T1 Electrochemistry: , F = 96485 C/mol Nernst equation: At 25oC: Page 2 Page 3 Page 4 Page 5 Answer Key 1. 2. 3. 4. 5. 6. 7. 8. 9. 10. 11. 12. 13. 14. 15. 16. 17. 18. 19. 20. 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