Physical Chemistry Third Edition

1322 K Answers to Numerical Exercises and Odd-Numbered Numerical Problems

Chapter 8 Problems

7.1
K 7. 51

7.5
a. K 6. 90 × 1024
b. P(O 2 ) 3. 3 × 10 −^9 bar
P(SO 2 ) 6. 6 × 10 −^9 bar
P(SO 3 ) 1 .000 bar

7.7
a. ∆H◦ 0 .66 kJ mol−^1
∆S◦ 11 .85JK−^1 mol−^1
b. ∆G◦− 2 .92 kJ mol−^1 ,K 3. 248
c.P(HD)/P◦ 0 .474 bar,
P(H 2 )/P◦P(D 2 )/P◦ 0 .263 bar

7.9
a. ∆G◦− 141 .782 kJ mol−^1
b. ∆G◦− 300 .125 kJ mol−^1
c.∆G◦− 70 .692 kJ mol−^1

7.11
a. ∆G◦− 1138 .86 kJ mol−^1
∆H◦−T∆S◦− 1138 .7kJmol−^1
b. ∆G◦ 130 .90 kJ mol−^1
∆H◦−T∆S◦ 130 .87 kJ mol−^1

7.13
a. K 3. 30 × 10199
b. K 1. 17 × 10 −^23

7.15
P(NO 2 ) 0 .318 bar
P(N 2 O 4 ) 0 .682 bar

7.17
a. K 5. 43 × 105
b. P(N 2 ) 0 .01555 atm,
P(H 2 ) 0 .04665 atm,
P(NH 3 ) 0 .9378 atm

7.19
a. ∆G◦− 162 .715 kJ mol−^1
K 3. 2 × 1028
b. ∆G◦ 28 .644 kJ mol−^1

7.21
P 0 .111 bar11100 Pa

7.23

a. ∆H◦− 223 .94 kJ mol−^1

∆S◦ − 216 .537JK−^1 mol−^1

∆G◦− 159 .316 kJ mol−^1

b. ∆H◦− 753 .99 kJ mol−^1

∆S◦ − 156 .63JK−^1 mol−^1

∆G◦− 707 .79 kJ mol−^1

7.25

a. K 1. 77 × 10 −^10

b. m(Ag+) 1. 34 × 10 −^5 mol kg−^1

7.27

a. pH 1 .11 (γ≈1)

pH 1. 18

b. pH 2 .597 (γassumed to equal 1)

pH 2. 60

7.29

pH 2 .95 (γassumed to equal 1)

pH 2. 96

7.31

m(HCO− 3 )/m◦ 1. 25 × 10 −^3

m(H 2 CO 3 )/m◦ 2. 86 × 10 −^7

7.33

pH 3. 75

7.35

a. pH 5. 22

b. Kb 2. 5 × 10 −^5

c. pH 11. 18

7.37

a.pH 6. 72

7.39

a. γ±(γ+^2 γ−)^1 /^3

m±(m^2 +m−)^1 /^3  41 /^3 m

b. γ±(γ+γ−^3 )^1 /^4

m±(m+m^3 −)^1 /^4  91 /^4 m

c.γ±(γ+γ−)^1 /^2

m±(m+m−)^1 /^2 m

d. γ±(γ+^2 γ−)^1 /^3

m±(m+m^2 −)^1 /^3  41 /^3 m

7.41

a. pH 4. 98

b. pH 4. 84