Physical Chemistry Third Edition

K Answers to Numerical Exercises and Odd-Numbered Numerical Problems 1347

26.15

Uom(298.15 K) 3718 .5 J mol−^1

Som 169 .69 J K−^1 mol−^1

Gom− 44 .40 k J mol−^1

26.17
At298.15 K,Hmo 6 .1974 kJ mol−^1

At500.0K,Hmo 10 .393 kJ mol−^1

26.19

K 27. 0

26.21

K 0. 462

26.23

a. K≈ 6

b. K≈ 2

26.25

a. K≈ 2

b. K≈ 1

26.29

K 3. 393

26.31

∆S‡o≈−100 J K−^1 mol−^1

26.33

k 5. 23 × 106 m^3 mol−^1 s−^1

 5. 23 × 109 L mol−^1 s−^1

Ea 7 .13 kJ mol−^1

NAν∆ε

‡

0 ^5 .00 kJ mol

− 1

26.35

a. Sst 4. 9099 × 10 −^23 JK−^1

b. Ω 56

c.Ω 20

d. For part b,Sst 5. 55764 × 10 −^23 JK−^1

For part c,Sst 4. 13609 × 10 −^23 JK−^1

e.Sst 8. 1745 × 10 −^23 JK−^1

f. Sst 8. 6937 × 10 −^23 JK−^1

g. For〈ε〉 5 hν,T1633 K

For〈ε〉 4 hν,T1385 K

For〈ε〉 3 hν,T1133 K

26.37

a. Am,36−Am,40 391 .6JK−^1 mol−^1

b. Um,36−Um,40 0

c. Sm,36−Sm,40− 1 .3136 J K−^1 mol−^1

d. ∆Smix 0 .2168 J K−^1

26.39

a. Ea272 kJ mol−^1

b. ratio 243

Chapter 27 Exercises

27.4

a. At 298.15 K,zvib 1. 2627

At 1000.0K,zvib 2. 6753

b. At 298.15 K,

kBT

hcv ̃e

 0. 63699

At 1000.0K,

kBT

hcv ̃e

 2. 1365

27.7

b. At 1000.0K,Uvib 6519 .9 J mol−^1

c.At 298.15 K,Uvib 0 .0000314 J mol−^1

At 1000.0K,Uvib 93 .775 J mol−^1

27.8

Svib,cl 18 .0895 J K−^1

27.10

B 2  6. 13 × 10 −^5 m^3 mol−^1

27.11

b. B 2 − 2. 1 × 10 −^5 m^3 mol−^1

Chapter 27 Problems

27.1

Z 104.^48 ×^10

24

27.5

a. Z≈e^9.^70 ×^10

24

≈ 104.^21 ×^10

24

b. ln(probability)− 1. 06 × 1025

27.9

a. U 3718 .5J

b. z 2. 4429 × 1032

Z 105.^4455 ×^10

24

c.probability≈ 10 −^5.^838 ×^10

24

27.11

a. G◦m(298.15 K)−Hm◦(0 K)− 37 .430 kJ mol−^1

A◦m(298.15 K)−Hm◦(0 K)− 39 .909 kJ mol−^1

b. Z 104.^2105 ×^10

24