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Untitled - Kelly Walsh High School

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262 CHEMISTRY FOR THE UTTERLY CONFUSED<br />

related to the disorder of the system. Entropy increases when the number of<br />

molecules increases, with an increase in temperature, when a gas forms from a<br />

solid or liquid or when a liquid forms from a solid. Gibbs free energy is the best<br />

indicator of a spontaneous reaction. If ∆G > 0, the reaction is not spontaneous;<br />

if ∆G < 0, the reaction is spontaneous; and if ∆G 0, the reaction is at equilibrium.<br />

It is possible to use the ∆G and the temperature to calculate the equilibrium<br />

constant of a reaction.<br />

1. State the first, second, and third laws of thermodynamics.<br />

2. Which of the following involves an increase in entropy?<br />

a. a solid melting b. a liquid freezing c. a gas condensing<br />

d. two gases reacting to produce a solid product<br />

e. a gas changing to a solid (undergoing deposition)<br />

3. The Gibbs free energy for a spontaneous process has a _____ sign.<br />

4. What is the mathematical definition of Gibbs free energy?<br />

5. How can a process where ∆S system is negative ever be spontaneous?<br />

6. What are standard conditions?<br />

7. What is the mathematical relationship necessary to adjust the Gibbs free<br />

energy to nonstandard conditions.<br />

8. What is the mathematical relationship that relates the Gibbs free energy to<br />

the equilibrium constant.<br />

9. What is the value of R used in thermochemical relationships?<br />

10. How are K and Q similar? How are K and Q different?<br />

11. What do the ∆H f and ∆G f values for elements have in common?<br />

12. Determine the change in the standard entropy for the following reaction:<br />

Ca(s) S(s) 3 O 2(g) 2 H 2(g) l CaSO 42H 2O(s)<br />

The S° values are<br />

Ca(s) 41.63 J/molK S(s) 31.88 J/molK O 2(g) 205.0 J/molK<br />

H 2(g) 131.0 J/molK CaSO 42H 2O(s) 194.0 J/molK<br />

13. Determine the change in the standard Gibbs free energy for the following<br />

reaction:<br />

Ca(s) 2 H 2SO 4(l) l CaSO 4(s) SO 2(g) 2 H 2O(l)<br />

The ∆G f values are<br />

Ca(s) 0.00 kJ/mol H 2SO 4(l) 689.9 kJ/mol SO 2(g) 300.4 kJ/mol<br />

H 2O(l) 237.2 kJ/mol CaSO 4(s) 1320.3 kJ/mol<br />

14. Determine the boiling point of acetone given that the heat of vaporization<br />

is 31.9 kJ/mol and the entropy of vaporization is 96.8 J/molK.<br />

15. Estimate ∆G° for the following equilibrium:<br />

Ag 2CrO 4(s) K 2 Ag (aq) CrO 4 2 (aq) K 1.9 10 16<br />

16. For the following reaction:<br />

C(s) CO 2(g) l 2 CO(g) ∆G° 120.0 kJ.<br />

If 25.00 g of carbon, 2.50 atm of CO and 1.50 atm of CO 2 are placed in a 5.00<br />

L container, calculate G at 25°C.

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