Physical Chemistry Third Edition

1346 K Answers to Numerical Exercises and Odd-Numbered Numerical Problems

b. FALSE
c.FALSE
d. TRUE
e.TRUE
f. TRUE
g. TRUE
h. TRUE
i.FALSE
j. TRUE

25.47
a. zrot 2. 85554
b. zrot 3. 02824
c. zrot 3. 02828

25.49
a. ratio 4. 83 × 10 −^7
b. ratio 5. 14 × 10 −^7
c.ratio 3. 01 × 10 −^5
d.ratio 3. 14 × 10 −^5

25.51
a. ratio 2. 12 × 10 −^9 at 298.15 K
ratio 6. 74 × 10 −^6 at 500 K
ratio 2. 60 × 10 −^3 at 1000 K
ratio 0 .304 at 5000 K
ratio→1 in the limit asT→∞
b. ratio 2 .451 at 298.15 K
ratio 2 .824 at 1000 K
ratio→3 in the limit asT→∞
c.Jmp 3

Chapter 26 Exercises

26.1
Sst 4. 9087 × 10 −^23 JK−^1

26.2
a. dln(x)/dx 1
b. dln(x)/dx 1. 00 × 10 −^5
c.dln(x)/dx 1. 00 × 10 −^100000

26.7
a. Uvib12979 J mol−^1
b. zvib 2. 1713
Uvib3005 J mol−^1
c.zvib 1. 595
Uvib4288 J mol−^1

26.8

CV,et 0 .63927 J K−^1

26.10

K≈ 3. 56

26.11

Kc 1. 4 × 10 −^39 mol m−^3

26.12

a. k 0 .399 m^3 mol−^1 s−^1 399 L mol−^1 s−^1

b. K 1. 12 × 107

K(thermodynamic) 0. 754 × 107

26.14

A≈ 2. 4 × 108 m^3 mol−^1 s−^1

 2. 4 × 1011 L mol−^1 s−^1

Chapter 26 Problems

26.1

a. no difference

b. difference of a factor of 2

c. no difference

d. no difference

e. differ by 5.7631 J K−^1 mol−^1

26.5

Sm,tro  149 .6JK−^1 mol−^1

Sm,roto  54 .84 J K−^1 mol−^1

Sm,vibo  0 .142 J K−^1 mol−^1

Sm 196 .3JK−^1 mol−^1

26.7

CP,m 37 .048 J K−^1 mol−^1

26.9

Som 126 .16 J K−^1 mol−^1

26.11

Uom 3718 .5 J mol−^1

Hmo  6197 .4 J mol−^1

Som 164 .09 J K−^1 mol−^1

Aom 45 .204 J mol−^1

Gom 45 .725 J mol−^1

GVm 12 .475 J K−^1 mol−^1

26.13

difference 5 .763 J K−^1