Homework # 9 Ksp and Thermodynamics Spring 2023

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Chemistry

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Feb 20, 2024

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Homework #9 (Ksp and Thermodynamics) Directions: Answer the following questions in order on separate sheets of paper. In order to receive full credit on the homework, you must provide a written explanation as to why you worked the problem the way you did for questions that involve calculations. To guide you in this process, you should follow the below steps for each problem you are solving: a. Write the equation that applies in the context of the problem. b. Clearly show all steps involved in working the problem, including all units. c. The final answer should be boxed. d. All the points of the problem should be solved correctly for full points. Scan each page of your worked-out solutions and combine them, in order, into one file that you can upload to Canvas. The required file format to upload is pdf or Word. Multiple files of each page will not be accepted. Assume a temperature of 25 °C and that all solutions are aqueous solutions. 1. Assuming that no equilibria other than dissolution are involved, calculate the molar solubility of each of the following from its solubility product. (a) KHC 4 H 4 O 6 (K sp = 3 x 10 -4 ) (b) PbI 2 (K sp = 1.4 x 10 -8 ) (c) BaCO 3 (K sp = 1.6 x 10 -9 ) (d) HgI 2 (K sp = 4.5 x 10 -29 ) (e) Ca 3 (PO 4 ) 2 (K sp = 1.3 x 10 -32 ) 2. A certain reaction has ΔH° = -19.5 kJ/mol and ΔS° = +42.7 J/mol K a) Is the reaction exothermic or endothermic? b) Does the reaction lead to an increase or decrease in the disorder of the system? c) Calculate ΔG° for the reaction at 298K. d) Is the reaction spontaneous at 298 K under standard conditions? e) If the reaction is spontaneous at 298 K, determine the temperatures at which it will become nonspontaneous, or explain if it will be spontaneous at all temperatures.
3. Answer each of the following questions (a – c) for the reactions given in parts i. – iii. below. a. Predict the entropy change for the reaction to be less than zero, near zero or greater than zero and explain your prediction conceptually. b. Use the data given in the tables to calculate Δ , Δ , and Δ at 298 K for each of the following reactions. c. Discuss whether each reaction will be spontaneous at all temperatures, high temperatures, low temperatures, or nonspontaneous at all temperatures (i.e. never spontaneous). (a) Ni( s ) + Cl 2 ( g ) NiCl 2 ( s ) ΔH° (kJ/mol) ΔG° (kJ/mol) S° (J/mol K) NiCl 2 (s) -305.3 -259.1 97.7 Ni(s) 0 0 30.1 Cl 2 (g) 0 0 223.0 (b) CaCO 3 ( s , calcite) CaO( s ) + CO 2 ( g ) ΔH° (kJ/mol) ΔG° (kJ/mol) S° (J/mol K) CaO(s) -635.6 -604.2 39.8 CO 2 (g) -393.5 -394.4 213.6 CaCO 3 (s) -1206.9 -1128.8 92.9 (c) 2 CH 3 OH( l ) + 3 O 2 ( g ) 2 CO 2 ( g ) + 4 H 2 O( l ) ΔH° (kJ/mol) ΔG° (kJ/mol) S° (J/mol K) H 2 O(l) -285.8 -237.2 69.9 CO 2 (g) -393.5 -394.4 213.6 O 2 (g) 0 0 205 CH 3 OH(l) -238.7 -166.3 126.8 4. At 298 K, ΔG° f [CO(g)] = ‒137.15 kJ/mol and K p = 6.5 × 10 11 for the reaction below: CO(g) + Cl 2 (g) COCl 2 (g) Determine the ΔG° f [COCl 2 (g)] using only these data.
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