HCCS General Chemistry 1412 Exam 1 Fall 2010 Dr. Komala Krishnaswamy 10/6/2010 CHEM 1412 EXAM # 1 Fall 2010 Name: Score: Part I-Please DO NOT circle. Write the correct answer in space provided. (3 points each) _____1. Calculate the molality of a solution prepared by dissolving 16 g of urea, NH2CONH2, in 39 g of H2O. A. 0.48 m B. 0.68 m C. 4.8 m D. 0.0048 m E. 6.8 m _____2. Which of the following will be most soluble in H2O? A. Ar D. CH4 B. O2 E. KCl C. CO2 _____3. Calculate the molarity of a solution prepared by dissolving 16 g of urea, NH2CONH2, in 39 g of H2O. The density of the solution is 1.3 g/mL. A. 0.068 M D. 6.3 M B. 3.7 M E. 0.41 M C. 4.8 M _____4. Calculate the concentration of N2 in H2O at a partial pressure of 0.826 atm. The Henry’s law constant for N2 in H2O is 6.8 × 10-4 M.atm-1 A. 5.6 × 10–4 M D. 0.43 M B. 1.2 × 103 M E. 8.2 × 10-4 M C. 8.2 × 10–3 M _____5. The vapor pressure of pure ethanol at 60°C is 349 mm Hg. Calculate the vapor pressure over a solution prepared by dissolving 10.0 mol naphthalene in 90.0 mol ethanol? A. 34.9 mm Hg D. 279 mm Hg B. 314 mm Hg E. 69.8 mm Hg C. 600 mm Hg _____6. The freezing point of ethanol, C2H5OH, is -114.6°C. Its molal freezing point depression constant is 2.00 °C/m. What is the freezing point of a solution prepared by dissolving 50.0g of glycerin, C3H8O3 in 200g of ethanol? A. -115 °C D. -120 °C B. -5.4 °C E. -109 °C C. -132 °C ____7. Which of the following aqueous solutions has the lowest osmotic pressure? A. 0.18 M KCl D. 0.05 M K2CO3 B. 0.15 M Na2SO4 C. 0.12 M Ca(NO3)2 E. 0.10 M C2H6O2 (ethylene glycol) _____8. For the reaction 4 NH3 + 7 O2 → 4 NO2 + 6H2O at a particular time, –Δ[NH3]/Δt = 1.5 × 10–2 M/s. What is -Δ[O2]/Δt at the same instant? A. 8.6 × 10-3 M/s -2 D. 2.6 × 10 M/s B. 2.3 × 10–2 M/s E. 4.4 × 10-3 M/s C. 1.5 × 10–2 M/s _____9. The rate law of the reaction A B was found to be rate = k[A]2. If the concentration of A is tripled what happens to the rate of the reaction? A. Increases by a factor of 3 C. Increases by a factor of 9 E. Is unaffected B. increases by a factor of 6 D. increases by a factor of 2 _____10. If the reaction 2A + 3B products is 1st order in A & 2nd order in B, then the rate law will have the form A. Rate = k[A][B] D. Rate = k[A]2[B] B. Rate = k[A]2[B]3 E. Rate = k[A]2[B]2 C. Rate=k[A][B]2 _____11. The reaction 2NO2 2NO + O2 has the rate law, rate = k[NO2]2. Calculate the value of the rate constant, k, if the [NO2] drops fro, 0.0100 M to 0.00650 M in 100s. A. 0.096 D. 1.2 B. 0.65 E. 0.54 C. 0.81 _____12. A 2nd order reaction has a half-life of 18 s when the initial reactant concentration is 0.71 M. Calculate the rate constant for the reaction. A. 0.078 M-1s-1 D. 1.3 M-1s-1 B. 0.038 M-1s-1 E. 0.71 M-1s-1 C. 0.020 M-1s-1 _____13. Identify the intermediates in the following mechanism: X + YO2 XO + YO XO + YO XO2 + YO YO + O2 YO + O YO + O YO2 A. X only D. O, XO & YO B. YO2 only E. YO2 & O2 C. X & YO2 _____14. The proper expression for Kc for the reaction below is 4CuO(s) + CH4(g) CO2(g) + 4Cu(s) + 2H2O(g) A. [CuO]/[Cu] D. [CO2][H2O]2/[CH4] B. [CuO]4/[Cu]4 C. [Cu]4/[CuO]4 2 E. [CH4]/[CO2][H2O] _____15. Calculate the equilibrium constant, Kc, for the reaction below if a 3.25 L tank was found to contain 0.343 mol O2, 0.0212 mol SO3 and 0.00419 mol SO2. 2SO3(g) 2SO2(g) + O2(g) A. 6.78 × 10-2 D. 4.35 × 10-2 B. 1.34 × 10-2 E. 4.60 × 10-3 C. 4.12 × 10-3 _____16. Calculate the equilibrium constant Kp for the following equilibrium at 25 °C given that the equilibrium constant, Kc = 3.0 × 105 at the same temperature. 2H2S(g) + 3O2(g) 2SO2(g) + 2H2O(g) Kc = 3.0 × 105 A. 1.2 × 104 D. 3.3 × 105 B. 8.2 × 10–5 E. 1.5 × 105 C. 3.3 × 10–6 _____17. If the equilibrium constant for reaction (1) is K, what is the equilibrium constant for reaction (2)? (1) (2) A. K3 D. 3/K (1/3)N2(g) + H2(g) (2/3)NH3(g) 2NH3(g) N2(g) + 3H2(g) B. 3K E. 1/K3 C. 1/3K ____18. The equilibrium constant, Kc, for the equilibrium 2CO2(g) 2CO(g) + O2(g) is 1.2 × 10-13. If the instantaneous concentrations are [CO] = 0.0127 M, [CO2] = 0.0l89 M, [O2] = 0.00402 M, which of the following statements is true? A. The reaction mixture is at equilibrium B. The system is not at equilibrium; more CO2 will form C. The system is not at equilibrium; [CO2] will decrease D. The system is not at equilibrium; [CO] will increase E. The system is not at equilibrium; PO2 will increase _____19. The equilibrium constant, Kc, for the reaction 2HI(g) H2(g) + I2(g) is 0.016. Calculate the equilibrium value of [I2] if the equilibrium [H2] = [HI] = 0.10 M. A. 0.013 M D. 1.3 M B. 0.040 M E. 0.016 M C. 0.31 M _____20.Consider the following equilibrium: N2(g) + 3H2(g) 2NH3(g) H°=- 92.4 kJ Which of the following disturbances will increase the concentration of NH3 in the mixture? A. Increasing the temperature B. Removing NH3 from the mixture C. Increasing the container volume D. Decreasing the partial pressure of N2 E. All of the above PART II- ( 8 points each) Please show all your work . 21. The osmotic pressure of a 12 mL aqueous solution containing 0.60 g of dissolved nicotine is 7.55 atm at 25 °C. Calculate the molar mass of nicotine. (R = 0.0821 L.atm.K-1.mol-1) 22. a. Calculate the rate constant of a first order reaction A B if the initial concentration of A is 0.373 M and the concentration of A after 122 s is 0.0974 M. b. Calculate the half-life of the reaction. -3 -1 23. Calculate the activation energy of a reaction that has a rate constant of 4.41 × 10 s at 42 °C and a rate constant of 9.79 × 10-2 s-1 78°C. (R=8.314 JK-1mol-1) 24. 0.64 moles of NOBr were placed in a 1.00 L reaction chamber. After equilibrium was reached, 0.46 moles of NOBr remained. Calculate the equilibrium constant, Kc, for the reaction 2NOBr(g) 2NO(g) + Br2(g). 25. Kc for the reaction 2AB(g) A2(g) + B2(g) is 16. If 0.030 mol of AB(g) is introduced into a 1.00 L vessel, calculate the equilibrium concentrations of AB(g), A2(g) and B2(g). Bonus (10 points). The following rate data was collected for a reaction 2A + B products Exp 1 2 3 A. B. C. D. [A] 0.030 M 0.060 M 0.060 M [B] 0.044 M 0.044 M 0.066 M -[A]/t (M/s) 0.500 0.500 1.125 Determine the Rate law Calculate the rate constant; include units. What will be the rate of consumption of A when [A] = [B] = 0.10 M? What will be the rate of consumption of B under the same conditions? Exam 1 Fall 2010 Chem 1412 Key 1.E 9. C 17. E 2.E 10. C 18. B 3. D 4. A 11. E 12. A 19. 0.0016 20. B 5. B 13. D 6. D 14. D 7. E 15. C 8. D 16. A 21. 7.55 mol/L 0.309 mol/L; moles of solute 0.309 0.012 mol 0.0037 mol 0.0821 298 0.60 g Molar mass 160 g.mol 1 0.0037 mol 7.55atm; M 22. a. k ln A0 ln At ln 0.373 ln 0.0974 0.0110 s -1 t 122 s b. t 1/2 0.693 s 63.0 s 0.0110 23. k R ln 1 k2 Ea 1 1 T2 T1 24. I C E 8.314 ln 0.0979 0.00441 J/mol 7.92 10 4 J/mol 1 1 315 351 2NOBr 0.64 0.46-0.64 = -0.18 0.46 2NO 0 + 0.18 0.18 Br2 0 +0.18/2 = 0.090 0.090 2 Br2 NO Kc NOBr2 0.090 0.18 2 0.014 0.46 2 25. 2AB 0.030 -x 0.030-x I C E x B 2 A 2 4 Kc ;16 ; 2 0.030 - x 2 AB A2 0 + x/2 x/2 2 16 4 B2 0 +x/2 x/2 x 2 0.030 - x x ; 80.030 - x x; 0.24 - 8x x; 0.24 9x; x 0.24/9 0.027 M 0.030 x x 0.027 [A 2 ] [B 2 ] M 0.013M; [AB] 0.030 - x 0.030 - 0.027 0.003 M 2 2 8 Bonus (10 points). A. 0.500 0.060 x 1 2 x ; x 0 order with respect to A 0.500 0.030 x 1.125 0.066 y 2.25 1.5 y ; y ln(2.25)/l n(1.5) 2 order with respect to B y 0.500 0.044 2 rate k[B] B. k rate B 2 0.500 0.044 2 M 1s 1 258M 1s 1 C. rate of consumptio n of A 258 0.1 Ms -1 2.58 Ms -1 2 D. rate of consumptio n of B rate of consumptio n of A 2.58 Ms -1 1.29 Ms -1 2 2