Physical Chemistry Third Edition

K Answers to Numerical Exercises and Odd-Numbered Numerical Problems 1325

9.16
〈v〉/vp 1. 1284

vrms/vp 1. 2247

9.17
a. ratio 0. 103218
b. ratio 0. 103218
c.ratio 0. 103218
d. ratio 0. 109915
e.ratio 0. 109915
f. ratio 0. 109915

9.18
N 2. 15 × 1027

9.19
a. N≈ 2 × 1030 (other estimates vary)
b. amount of CO per second 1. 2 × 103 mol s−^1

9.20
P 0 .55 atm

9.23
a. P 1. 018 × 105 Pa

b. P(ideal) 1. 0160 × 105 Pa
percent difference 0 .2%

9.24
a. L 3. 44 × 10 −^9 m
b. λ 1. 94 × 10 −^7 m

9.25
a. λ1(2) 3. 56 × 10 −^7 m

λ2(1) 8. 33 × 10 −^8 m

λ1(1) 8. 30 × 10 −^8 m

λ2(2) 3. 56 × 10 −^7 m

b. z1(2) 1. 34 × 109 s−^1

z2(1) 5. 34 × 109 s−^1

z1(1) 5. 72 × 109 s−^1

z2(2) 1. 25 × 109 s−^1

c.Z 12  2. 63 × 1034 s−^1 m−^3

Z 11  5. 63 × 1034 s−^1 m−^3

Z 22  3. 08 × 1033 s−^1 m−^3

d. total collision rate 2. 10 × 1033 s−^1

9.26
number≈ 9. 2

Chapter 9 Problems

9.1

a. p(33000) 0. 09023

p(34000) 0. 11278

p(35000) 0. 13534

p(36000) 0. 18045

p(37000) 0. 14286

p(38000) 0. 15038

p(39000) 0. 09023

p(40000) 0. 06015

p(55000) 0. 01504

p(95000) 0. 02256

b. median$36000

c.mean$37940

d. rms$39032

e.mode$36000

9.3

a. number 1. 000 × 1024

b. number 101.^445 ×^10

25

9.5

zmax 5 .1m

9.7

a. probability 0. 0003698

b. probability 0. 0003771

c.probability 0. 0007541

9.9

〈h〉 0

hrms 1 /

√

2

9.11

〈x〉 7. 00

σx 2. 449

9.13

〈cos(x)〉 0. 60653

(cos(x))rms 0. 75344

9.15

fraction≈ 10 −^2.^11 ×^10

11

9.17

fraction 0. 317