Physical Chemistry Third Edition

1324 K Answers to Numerical Exercises and Odd-Numbered Numerical Problems

8.7
E 2 .019 V

8.9
c.E− 0 .4195 V

8.13
c.E◦− 0 .5673 V
d.E 0 .2994 V

8.15
E 0 .083 V (γ±assuming1)
E 0 .092 V

8.17
a. E◦ 2 .041 V
b. ∆H◦− 571 .66 kJ mol−^1
c.E◦(255 K) 2 .173 V

8.19
γ± 0. 822

8.21
pH 12. 88
E 1 .0424 V

8.23
a. Ksp 2. 58 × 10 −^5
b. m(Cl−)/m◦ 0. 0598
c.m(Pb^2 +)/m◦ 0. 00852

8.25
a. Ksp 1. 46 × 10 −^51
b. m(S^2 −) 7. 15 × 10 −^18 mol kg−^1
c.m(S^2 −) 1. 12 × 10 −^17 mol kg−^1

8.27
− 0 .7538 V<E◦<− 0 .6444 V

8.29
a. K 1. 68 × 108
b. m(Pb^2 +)/m◦ 1. 30 × 10 −^4
c.m(Pb^2 +)/m◦ 4. 18 × 10 −^4
d.m(SO^24 −)/m◦ 2. 00 × 10 −^6

8.31
a. Ksp 1. 42 × 10 −^18
b. Ksp 1. 8 × 10 −^52

8.33
a. K 3. 23 × 108
b. m(Ce^4 +)m(Cl−) 0 .004121 mol kg−^1
m(Ce^3 +) 0 .0209 mol kg−^1

8.35

K 3. 57 × 102

8.37

b. E◦ 1 .229 V

c. E◦ 1 .229 V

d. E 1 .229 V+ 0 .062 V 1 .291 V

8.39

a. ∆G◦− 817 .903 kJ mol−^1

E◦ 1 .060 V

b. wmax 2. 013 × 106 kJ

c.wmax 559 .2 kWh

d. wmax1416 kWh

Chapter 9 Exercises

9.1

〈w〉 78. 4

9.2

〈w^2 〉 6276

wrms 79. 2

9.5

b. v1040 m s−^1

c. K 7. 25 × 10 −^20 J

9.8

a. σkx 2. 91 × 10 −^21 J

b. fraction

√

2

9.9

probability≈ 8 × 10 −^5

9.10

a. probability 0. 683

b. v′x583ms−^1

c. v′x1068 m s−^1

9.11

ratio 1. 798 × 10 −^6

9.13

vp1112 m s−^1

9.15

vp1112 m s−^1

〈v〉1256 m s−^1

vrms1363 m s−^1