CHEMISTRY 216 General Chemistry II: Principles of Chemical Reactions Winter Term, 2014 Homework Assignment #4 (13 points) Due: Monday, February 3, 2014 1. The following data were obtained for the decomposition of HOF at 25 oC.. 2 HOF (g) → 2 HF (g) + O2(g) time (min) [ HOF ] mol/L 0 0.850 5 0.754 10 0.668 a. b. 2. From Figure 14-4 in the textbook (p. 561 in the 12th edition; p. 511 in the 11th edition) estimate the a. b. 3. Calculate the average rate of disappearance of HOF during the first 5 minutes and during the second 5 minutes. What is the average rate of formation of O2 during the first 5 minutes? average rate of decomposition of butyl chloride from 300 to 600 seconds instantaneous rate of decomposition of butyl chloride at 400 seconds The reaction between dihydrogen phosphate ion and the hydroxide ion is H2PO 4–(aq) + OH–(aq) → HPO 42––(aq) + H2O(l) The following data were obtained for this reaction. [H2PO 4–] mol/L 0.0030 0.0030 0.0090 a. b. c. 4. [OH –] mol/L 0.00040 0.00080 0.00040 Initial Rate of formation of HPO42– (mol/L sec) 2.0 x 10-3 8.0 x 10-3 6.0 x 10-3 What is the order of the reaction with respect to H2PO 4–, with respect to OH–, and the overall order ? Write the rate law for the reaction. Determine the value of the rate constant, k. Data for the decomposition of dinitrogen oxide (2 N2O(g) → 2 N2(g) + O2(g)) on a gold surface at 900 oC are given below. time (min) [N2O] mol/L a. b. 0 0.0998 30.0 0.0680 60.0 0.0464 90.0 0.0316 120.0 0.0216 Determine whether the reaction is zero, first, or second order. Show clearly how you reached your conclusion. Determine the rate constant, k. 5. The decomposition of formic acid, HCO2H, is a first-order reaction with a rate constant of 1.9x 10-2 sec–1 at 550 oC. HCO 2H(g) → CO2(g) + H2(g) If one begins with a sample that is 0.200 M HCO 2H at 550 ˚C, calculate the concentration of HCO2H after 2.5 minutes. 6. Mercury is eliminated from the body in a first-order reaction with a half-life of 60 days. If a person eats a piece of tuna fish contaminated with 1 milligram of mercury, how much of this mercury will remain in the body after 150 days? 7. Given the following rate-constant data on the gas-phase decomposition of N2O5 N2O5(g) → 2 NO 2(g) + 1/2 O2(g) T (˚K) k (sec–1) a. b. 8. 273 7.87 x 10–7 298 3.46 x 10–5 308 1.35 x 10–4 328 1.50 x 10–3 Use a plot of ln k versus 1/T to determine the activation energy of the reaction. From the standard enthalpies of formation (Appendix C), calculate ∆Ho for this reaction and draw an energy diagram similar to the diagrams shown in Exercise 14.10 (p. 579 in the12th editiion; p. 595 in the 11th edition) showing Ea for both the forward and the reverse reaction and ∆Ho. (Note: ∆Hfo for N2O5(g) = +11.3 kJ/mol) Egg protein albumin is precipitated when an egg when an egg is cooked in boiling water. The activation energy (Ea) for this first-order reaction is 52.0 kJ/mol. For many people, the ideal softboiled egg requires 3 minutes when the boiling water is 100 oC. Estimate the time required to prepare this "3-minute" egg at an altitude where the temperature of boiling water is 90 oC. Suggested Additional Problems: Chapter 14: (12th Edition) Visualizing Concepts: 14.3, 14.5, 14.8 Excercises: 14.19, 14.21 a, b, , 14.27, 14.31, 14.33, 14.37, 14.43, 14.49, 14.57, 14.65 Chapter 14: (11th Edition) Visualizing Concepts: 14.2, 14.3, 14.6 Excercises: 14.15, 14.17, 14.23, 14.27, 14.29, 14.33, 14.37, 14.43, 14.51, 14.57 2
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