Chemistry 104 –1 Professor F. Fleming Crim Spring, 2006 Name______________________________ TA________________________________ Section_____________________________ Exam 3 1. This exam contains 12 pages of questions and instructions, a page of equations, a periodic table, and a set of constants and conversion factors. 2. There are 32 multiple choice questions. Circle the one best answer for each. 3. You have 90 minutes to work on the exam. 4. Put your name on each page. White Exam – Page 2 Name_________________________ 1. What is the effect of adding 10 mL of 0.1 M NaOH(aq) to 100 mL of 0.2 M NH4+(aq)? 1. The pH will decrease. 2. The concentration of NH3 will increase. 3. The concentration of NH4+ will decrease. a. b. c. d. e. 1 only 2 only 3 only 2 and 3 1, 2, and 3 2. What is the pH of an aqueous solution of 0.30 M HF and 0.15 M F–? (Ka of HF = 7.2 × 10–4) a. b. c. d. e. 1.83 2.84 3.14 3.44 10.86 3. Which of the following combinations would be the best to buffer an aqueous solution at a pH of 5.0? a. b. c. d. e. H3PO4 and H2PO4–, Ka1 = 7.5 × 10–3 HNO2 and NO2–, Ka = 4.5 × 10–4 CH3CO2H and CH3COO–, Ka = 1.8 × 10–5 H2PO4– and HPO42–, Ka2 = 6.2 × 10–8 NH4+ and NH3, Ka = 5.7 × 10–10 White Exam – Page 3 Name_________________________ 4. All of the following statements concerning buffers are true EXCEPT a. buffers resist pH changes upon addition of small quantities of strong acids or bases. b. a buffer solution is always basic. c. the pH of a buffer is close to the pKa of the weak acid from which it is made. d. buffers contain appreciable quantities of a weak acid and its conjugate base. e. buffers resist changes in pH when diluted with water. 5. If the ratio of acid to base in a buffer increases by a factor of 100, the pH of the buffer a. b. c. d. e. decreases by 1. decreases by 2. increases by 2. increases by 1. remains unchanged. 6. Which of the following equations is the solubility product for magnesium iodate, Mg(IO3)2? a. b. c. d. e. Ksp = [Mg2+][I–]2[O2–]6 Ksp = [Mg2+][I–]2[3O2–]2 Ksp = [Mg2+][IO3–] Ksp = [Mg2+]2[IO3–] Ksp = [Mg2+][IO3–]2 White Exam – Page 4 Name_________________________ 7. To make a buffer using acetic acid one would add a. b. c. d. e. carbonic acid. sodium acetate. sodium chloride. ammonium chloride. ammonium phosphate. 8. A buffer solution is one that a. contains more than the expected amount of solute for a particular temperature and is therefore unstable. b. contains the maximum amount of solute possible for a particular temperature. c. changes color upon addition of strong base. d. contains an equal number of hydronium and hydroxide ions. e. resists changes in pH upon addition of acid or base. 9. The Ksp of CaSO4 is 4.9 × 10–5 at 25 °C. What is the concentration of Ca2+ in a saturated solution of CaSO4? a. b. c. d. e. 2.4 × 10–9 M 2.5 × 10–5 M 4.9 × 10–5 M 7.0 × 10–3 M 3.7 × 10–2 M White Exam – Page 5 Name_________________________ 10. What is the molar solubility of Ag2CrO4 in 0.0028 M K2CrO4 at 25 °C? The value of Ksp for Ag2CrO4 is 5.4 × 10–12 at 25 °C. a. b. c. d. e. 1.6 × 10–5 mol/L 2.2 × 10–5 mol/L 3.3 × 10–5 mol/L 6.6 × 10–5 mol/L 1.1 × 10–4 mol/L 11. What is the molar solubility of Fe(OH)3(s) in a solution that is buffered at pH 2.75 at 25 °C? The Ksp of Fe(OH)3 is 6.3 × 10–38 at 25 °C. a. b. c. d. e. 1.1 × 10–29 mol/L 1.1 × 10–26 mol/L 2.0 × 10–15 mol/L 2.2 × 10–10 mol/L 3.5 × 10–4 mol/L 12. Using the data from the question above, calculate the standard free energy change for the dissolution of Fe(OH)3(s). a. b. c. d. e. –92.1 kJ/mol –17.8 kJ/mol 17.8 kJ/mol 92.1 kJ/mol 212 kJ/mol White Exam – Page 6 Name_________________________ 13. The following anions can be separated by precipitation as silver salts: Cl–, Br–, I–, CrO42–. If Ag+ is added to a solution containing the four anions, each at a concentration of 0.10 M, in what order will they precipitate? Compound AgCl Ag 2 CrO 4 AgBr AgI a. b. c. d. e. K sp 1.8 × 10 –10 5.4 × 10–12 5.4 × 10 –13 8.5 × 10 –17 AgCl → Ag2CrO4 → AgBr → AgI AgI → AgBr → Ag2CrO4 → AgCl Ag2CrO4 → AgCl → AgBr → AgI Ag2CrO4 → AgI → AgBr → AgCl AgI → AgBr → AgCl → Ag2CrO4 14. Consider the reaction Zn(OH)2(s) + 2 OH–(aq) ∫ Zn(OH)42–(aq) K = 8.7 × 10–2 If Ksp for Zn(OH)2 is 3.0 × 10–17, what is the value of the formation constant, Kform, for the reaction below? Zn2+(aq) + 4 OH–(aq) ∫ Zn(OH)42–(aq) a. b. c. d. e. 2.6 × 10–18 3.4 × 10–16 2.9 × 1015 3.3 × 1016 3.8 × 1017 15. Which of the following occurs in a solution where the initial concentrations of Pb(NO3)2(aq) and KI(aq) are both 0.004 M? The value of Ksp for PbI2 is 1.4×10–8. a. b. c. d. e. NO2 evolves from the solution. PbI2(s) precipitates. KNO3(s) precipitates. No net reaction occurs. Ksp changes to 9×10–9. White Exam – Page 7 Name_________________________ 16. Addition of NH3 increases the solubility of silver chloride in water because a. b. c. d. e. the solubility of many salts is affected by the pH of the solution. the formation of complex ions displaces the solubility equilibrium to the right. the solubility of most salts increases as temperature increases. some insoluble compounds are amphoteric. a common ion displaces the solubility equilibrium toward the undissolved solute. 17. Which group contains only solutes that would decrease the solubility of barium sulfate? a. b. c. d. e. HNO3, H2SO4, CH3COOH SO2, CO2, NH3 Ba(NO3)2, Na2SO4, NaHSO4 Ba(OH)2, NaOH, NH4Cl Na2SO4, NaOH, NaCl 18. A statement of the second law of thermodynamics is that a. b. c. d. e. spontaneous reactions are always exothermic. energy is conserved in a chemical reaction. the Gibbs free energy is a function of both enthalpy and entropy. ΔS = – ΔH for any chemical reaction. in a spontaneous process, the entropy of the universe increases. White Exam – Page 8 Name_________________________ 19. Which of the following linear chain alcohols is likely to have the highest standard entropy in the liquid state? a. b. c. d. e. CH3OH CH3CH2OH CH3CH2CH2OH CH3CH2CH2CH2OH CH3CH2CH2CH2CH2OH 20. If a chemical reaction has a positive change in entropy then a. b. c. d. e. the change in enthalpy is negative. the reaction is exothermic. heat goes from the system into the surroundings. the disorder of the system increases. the reaction is spontaneous. 21. All of the following processes lead to an increase in entropy EXCEPT a. b. c. d. e. decreasing the temperature of a gas. melting a solid chemical reactions that increase the number of moles of gas. forming mixtures from pure substances. evaporating a liquid White Exam – Page 9 Name_________________________ 22. Predict the signs of ΔH and ΔS for the condensation of steam at 85 °C. a. b. c. d. e. ΔH < 0 and ΔS < 0 ΔH < 0 and ΔS > 0 ΔH > 0 and ΔS < 0 ΔH > 0 and ΔS > 0 ΔH = 0 and ΔS < 0 23. The dissolution of ammonium nitrate occurs spontaneously in water, as we saw using cold packs in class. What are the signs of ΔH, ΔS, and ΔG for this process? a. b. c. d. e. ΔH < 0, ΔS < 0, ΔG < 0 ΔH < 0, ΔS > 0, ΔG < 0 ΔH < 0, ΔS > 0, ΔG > 0 ΔH > 0, ΔS > 0, ΔG < 0 ΔH > 0, ΔS < 0, ΔG > 0 24. At what temperatures will a reaction be spontaneous if ΔH = –76.0 kJ and ΔS = +231 J/K? a. b. c. d. e. All temperatures below 329 K Temperatures between 0 K and 231 K All temperatures above 329 K The reaction will be spontaneous at any temperature. The reaction will never be spontaneous. White Exam – Page 10 Name_________________________ 25. For a reaction, ΔH = +265 kJ and ΔS = +271.3 J/K. At what temperature will the system be in equilibrium? a. b. c. d. e. 6.30 K 102 K 359 K 719 K 977 K 26. The figure shows a plot of the free energy versus course of reaction. Which of the following statements are true? 1. The system is at equilibrium at point A. 2. The double arrow marked by B gives the free energy difference between pure reactants and pure products. 3. The reaction is exothermic. a. b. c. d. e. 1 only 2 only 3 only 1 and 2 2 and 3 27. Estimate the boiling point of carbon tetrachloride given the following thermodynamic parameters. (Your calculation is only an estimate since you must assume that the thermodynamic quantities are independent of temperature.) º ΔHf (kJ/mol) S º (J/K·mol) a. b. c. d. e. –272 °C 25 °C 67 °C 69 °C 109 °C CCl 4 (l) –128.4 214.4 CCl 4 (g) –96.0 309.7 White Exam – Page 11 Name_________________________ 28. Five coins are tossed. Which combination of heads (H) and tails (T) is least likely? a. b. c. d. e. THTHT TTTHT HTTHT HHTHT THHTT 29. Which has the highest entropy at a given temperature? a. b. c. d. e. SO2(s) S(s) O2(g) SO2(l) SO2(g) 30. A reaction is exothermic and has a negative value of ΔS°. The value of ΔG° for this reaction is therefore: a. b. c. d. e. negative at all temperatures. positive at all temperatures. positive above 0°C and negative below 0°C. positive above a certain temperature and negative below it. negative above a certain temperature and positive below it. White Exam – Page 12 Name_________________________ 31. If a chemical reaction is at equilibrium, it must be true that a. b. c. d. e. ΔG° = 1. ΔG > 1. ΔG° < 1. ΔG = 1. ΔG = 0. 32. The plot on the right shows the standard entropy of a substance versus temperature starting with a perfect crystal at T=0 K and going past the boiling point of the substance. Which of the following statements are true? 1. The entropy at A is positive. 2. The sloping line between B and C shows the change in entropy with temperature for the crystal. 3. The plot shows two phase transitions. a. b. c. d. e. 1 only 2 only 3 only 1 and 2 2 and 3 Potentially Useful Equations ln ! [A]t = "kt [A]0 1 1 " = kt [A]t [A]0 t1/ 2 = ! ln2 0.693 = k k k(T) = Ae"E a / RT ln k(T) = ln A " Ea RT ! [C]c [D]d [A]a [B]b ! (c+d–a–b) Kp = Kc(RT) ! Kw = [H3O+][OH–] = 1.0 × 10–14 (at 25˚C) ! Ka = [H 3O + ][A" ] [HA] Kb = [BH + ][OH" ] [B] ! ! pOH = –log[OH–] pK a = pH - log [A– ] [HA] pKa = –logKa ! k2 E # 1 1& =" a% " ( k1 R $ T2 T1 ' K(T) = pH = –log[H3O+] ! ln k 2 " ln k1 = ln Ka Kb = Kw ΔS = qrev/T ΔSuniv = ΔSsys + ΔSsurr ΔG° = ΔH° – TΔS° ΔG = ΔG° + RT ln Q ΔG° = –RT ln K pKw = 14.00 = pH + pOH
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