Name: 
 

Entropy&FreeEnergy



Multiple Choice
Identify the letter of the choice that best completes the statement or answers the question.
 

 1. 

Which reaction is likely to have a negative change in entropy?
a.
2 NH3(g) N2(g) + 3 H2(g)
b.
CaCO3(s) CaO(s) + CO2(g)
c.
NaCl(s) Na+(aq) + Cl-(aq)
d.
N2O4(g) 2 NO2(g)
e.
2 CO(g) C(s) + O2(g)
 

 2. 

Calculate the standard entropy change for the combustion of methanol at 25 °C.

2 CH3OH(l) + 3 O2(g) 2 CO2(g) + 4 H2O(g)

Species
S° (J/K×mol)
CH 3 OH (l)
127.2
O 2 (g)
205.1
CO 2 (g)
213.7
H 2 O(g)
188.8
a.
-2052.3 J/K
b.
-312.9 J/K
c.
+70.2 J/K
d.
+312.9 J/K
e.
+2052.3 J/K
 

 3. 

Calculate the standard entropy change for the following reaction,

2 HgO(s) 2 Hg(l) + O2(g)

given S°[HgO] = 70.3 J/K·mol, S°[ Hg(l)] =76.0 J/K·mol, and S°[O2(g)] = 205.1 J/K·mol.
a.
-216.5 J/K
b.
+210.8 J/K
c.
+216.5 J/K
d.
+351.4 J/K
e.
+497.7 J/K
 

 4. 

The standard entropy of formation of PCl3(g) is -33.2 J/K·mol.

1/4 P4(s) + 3/2 Cl2(g) PCl3(g)

Calculate the standard molar entropy of PCl3(g) given S°[P4(s)] = 41.1 J/K·mol and S°[Cl2(g)] = 223.1 J/K·mol.
a.
-378.1 J/K·mol
b.
-297.4 J/K·mol
c.
+212.2 J/K·mol
d.
+231.0 J/K·mol
e.
+311.7 J/K·mol
 

 5. 

For the following reaction at 25.0 °C,

2 C(s) + O2(g) 2 CO(g)

calculate entroyp-freeenergy_files/i0060000.jpg given entroyp-freeenergy_files/i0060001.jpg = 179.1 J/K and entroyp-freeenergy_files/i0060002.jpg = -221.1 kJ.
a.
-9023 J/K
b.
-562.3 J/K
c.
-167.7 J/K
d.
+170.2 J/K
e.
+920.7 J/K
 

 6. 

Use the following thermodynamic data

Species
Δ H° (kJ/mol)
S° (J/K·mol)
H 2 O 2 (l)
-187.78
109.6
H 2 O(l)
-285.83
69.91
O2 (g)
0
205.14

to calculate entroyp-freeenergy_files/i0070000.jpg for the decomposition of hydrogen peroxide at 25.0 °C.

2 H2O2(l) 2 H2O(l) + O2(g)
a.
-783.5 J/K
b.
-531.9 J/K
c.
+494.2 J/K
d.
+783.5 J/K
e.
+3741 J/K
 

 7. 

Predict the signs of ΔH and ΔS for the condensation of steam at 85 °C.
a.
ΔH < 0 and ΔS < 0
b.
ΔH < 0 and ΔS > 0
c.
ΔH > 0 and ΔS < 0
d.
ΔH > 0 and ΔS > 0
e.
ΔH = 0 and ΔS < 0
 

 8. 

Hydrogen gas is a non-polluting fuel. Predict the signs of ΔH, ΔS, and ΔG for the combustion of hydrogen gas at 150 °C.

2 H2(g) + O2(g) 2 H2O(g)
a.
ΔH < 0, ΔS > 0, ΔG < 0
b.
ΔH < 0, ΔS < 0, ΔG < 0
c.
ΔH < 0,ΔS > 0, ΔG < 0
d.
ΔH > 0, ΔS < 0, ΔG < 0
e.
ΔH > 0, ΔS < 0,ΔG > 0
 

 9. 

Diluting concentrated sulfuric acid with water can be dangerous. The temperature of the solution can increase rapidly. What are the signs of ΔH, ΔS, and ΔG for this process?
a.
ΔH < 0, ΔS > 0, ΔG < 0
b.
ΔH < 0, ΔS < 0, ΔG < 0
c.
ΔH < 0, ΔS > 0, ΔG > 0
d.
ΔH > 0, ΔS > 0, ΔG < 0
e.
ΔH > 0, ΔS < 0, ΔG > 0
 

 10. 

At what temperatures will a reaction be spontaneous if ΔH = +158 kJ and ΔS = +411 J/K?
a.
All temperatures below 384 K
b.
Temperatures between 158 K and 411 K
c.
All temperatures above 384 K
d.
The reaction will be spontaneous at any temperature.
e.
The reaction will never be spontaneous.
 

 11. 

At what temperatures will a reaction be spontaneous if ΔH = -76.0 kJ and ΔS = +231 J/K?
a.
All temperatures below 329 K
b.
Temperatures between 0 K and 231 K
c.
All temperatures above 329 K
d.
The reaction will be spontaneous at any temperature.
e.
The reaction will never be spontaneous.
 

 12. 

For a reaction, ΔH = +62.9 kJ andΔS = +132.9 J/K. At what temperature will ΔG = 0.00 kJ?
a.
2.11 K
b.
70.0 K
c.
473 K
d.
8.36 ´ 106 K
e.
DG is greater than 0.00 kJ at any temperature.
 

 13. 

Calculate entroyp-freeenergy_files/i0140000.jpg for the reaction below at 25.0 °C

2 H2O(g) + S(s) 2 H2S(g) + O2(g)

given entroyp-freeenergy_files/i0140001.jpg = +442.4 kJ and entroyp-freeenergy_files/i0140002.jpg = +206.9 J/K.
a.
+380.7 kJ
b.
+504.1 kJ
c.
+649.3 kJ
d.
+1277.7 kJ
e.
+6.125 ´ 104 kJ
 

 14. 

Calculate entroyp-freeenergy_files/i0150000.jpgfor the reaction below at 25.0°C

CO(g) + H2O(l) H2(g) + CO2(g)

given entroyp-freeenergy_files/i0150001.jpg [CO(g)] = -137.2 kJ/mol, entroyp-freeenergy_files/i0150002.jpg [H2O(l)] = -237.2 kJ/mol, entroyp-freeenergy_files/i0150003.jpg [H2(g)] = 0.0 kJ/mol, and entroyp-freeenergy_files/i0150004.jpg [CO2(g)] = -394.4 kJ/mol.
a.
-768.8 kJ
b.
-294.4 kJ
c.
-20.0 kJ
d.
+20.0 kJ
e.
+768.8 kJ
 

 15. 

The entroyp-freeenergy_files/i0160000.jpg for the following reaction is +70.9 kJ.

SO3(g) SO2(g) + entroyp-freeenergy_files/i0160001.jpg O2(g)

Given entroyp-freeenergy_files/i0160002.jpg [ SO3(g)] = -371.0 kJ/mol, calculate entroyp-freeenergy_files/i0160003.jpg [SO2(g)].
a.
-300.1 kJ/mol
b.
-5.23 kJ/mol
c.
+5.23 kJ/mol
d.
+300.1 kJ/mol
e.
+441.9 kJ/mol
 

 16. 

Calculate DG° for the reaction below at 25.0 °C.

P4(s) + 6 H2O(l) 4 H3PO4(l)

Species
entroyp-freeenergy_files/i0170000.jpg (kJ/mol)
entroyp-freeenergy_files/i0170001.jpg (J/K· mol)
P 4 (s)
0
22.80
H 2 O(l)
-285.8
69.95
H3 PO 4 (l)
-1279.0
110.5
a.
-993.2 kJ
b.
-998.5 kJ
c.
-3137 kJ
d.
-3252 kJ
e.
-3401 kJ
 

 17. 

Calculate ΔG° for the reaction below at 125 °C.

C2H5OH(g) + 3 O2(g) 2 CO2(g) + 3 H2O(g)

Species
entroyp-freeenergy_files/i0180000.jpg (kJ/mol)
entroyp-freeenergy_files/i0180001.jpg (J/K· mol)
C 2 H 5 OH(g)
-235.3
282.7
O 2 (g)
0
205.1
CO 2 (g)
-393.5
213.7
H 2 O(g)
-241.8
188.8
a.
-366.0 kJ
b.
-1277.1 kJ
c.
-1289.1 kJ
d.
-1315.2 kJ
e.
-3.94 ´ 104 kJ
 

 18. 

Estimate the boiling point of carbon tetrachloride given the following thermodynamic parameters.

 
CCl 4 (l)
CCl 4 (g)
entroyp-freeenergy_files/i0190000.jpg (kJ/mol)
-128.4
-96.0
entroyp-freeenergy_files/i0190001.jpg ( J/K·mol)
214.4
309.7
entroyp-freeenergy_files/i0190002.jpg (kJ/mol)
-57.6
-53.6
a.
-272 °C
b.
25 °C
c.
67 °C
d.
69 °C
e.
109 °C
 

 19. 

For a chemical reaction, if ΔG° = 0, then
a.
K > 1
b.
K = 0
c.
K < 1
d.
K < 0
e.
K = 1
 

 20. 

All of the following relationships are true EXCEPT
a.
entroyp-freeenergy_files/i0210000.jpg = entroyp-freeenergy_files/i0210001.jpg - Tentroyp-freeenergy_files/i0210002.jpg
b.
entroyp-freeenergy_files/i0210003.jpg = -RT ln (K)
c.
entroyp-freeenergy_files/i0210004.jpg = entroyp-freeenergy_files/i0210005.jpg + entroyp-freeenergy_files/i0210006.jpg
d.
DH = entroyp-freeenergy_files/i0210007.jpg + RT ln (K)
e.
entroyp-freeenergy_files/i0210008.jpg = -Tentroyp-freeenergy_files/i0210009.jpg
 

 21. 

The standard free energy change for a chemical reaction is -18.3 kJ/mole. What is the equilibrium constant for the reaction at 87 °C? (R = 8.314 J/K·mol)
a.
2.2 ×10-3
b.
1.0
c.
6.1
d.
4.5 × 102
e.
1.3 × 106
 

 22. 

The standard free energy change for the formation of N2H4(l) from elements is +149 kJ/mol at 25 °C. What is the equilibrium constant for the reaction? (R = 8.314 J/K·mol)
a.
7 10-61
b.
8 10-27
c.
1
d.
1 1026
e.
1 1060
 

 23. 

What is the equilibrium constant for reaction below at 25 °C? (R = 8.314 J/K·mol)

2 H2O2(l)  ⇌ 2 H2O(l) + O2(g)

given entroyp-freeenergy_files/i0240000.jpg[H2O2(l)] = -120.3 kJ/mol, entroyp-freeenergy_files/i0240001.jpg[H2O(l)] = -237.1 kJ/mol, and entroyp-freeenergy_files/i0240002.jpg[O2(g)] = 0.0 kJ/mol.
a.
5 10-95
b.
1 10-41
c.
1
d.
3 1020
e.
9 1040
 

 24. 

The equilibrium constant for a reaction at 25 °C is 4.7 x 10-8. What is DG°? (R = 8.314 J/K·mol)
a.
+1.52 kJ
b.
+3.51 kJ
c.
+6.81 kJ
d.
+18.2 kJ
e.
+41.8 kJ
 

 25. 

Calculate ΔG° for the following reaction at 425 °C,

H2(g) + I2(g)   2 HI(g)

given K = 56. (R = 8.314 J/K·mol)
a.
-23.4 kJ
b.
-14.2 kJ
c.
-10.1 kJ
d.
-6.18 kJ
e.
+14.2 kJ
 



 
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