Physical Chemistry Third Edition

1334 K Answers to Numerical Exercises and Odd-Numbered Numerical Problems

h. FALSE
i.TRUE
j. FALSE
k. TRUE
l.TRUE
m. TRUE
n. FALSE

Chapter 16 Exercises

16.6
〈x〉

a

2

16.7
ratio 0. 36788

16.8.
Probability≈ 0

16.10

b. 〈E〉

3

2

hν

σE^2  0

16.11
p 0  1 /2 andp 1  1 /2 for both examples

16.14
∆t≥ 5 × 10 −^14 s

Chapter 16 Problems

16.23

〈V〉

3

4

hν

1

2

E 1

16.27

a. Forn1,〈p^2 x〉

h^2

4 a^2

Forn2,〈p^2 x〉

h^2

a^2

Forn3,〈p^2 x〉

9 h^2

4 a^2

b. 〈p^2 x〉

h^2 n^2

4 a^2

c. lim

n→∞

〈p^2 x〉→∞

16.29

a. zt

√

3

a

c. Probability 0. 12666

16.33

a. ∆px≥ 5. 27 × 10 −^26 kgms−^1

∆vx≥ 5. 79 × 104 ms−^1

b. least upper bound 1. 38 × 106 ms−^1

greatest lower bound 1. 27 × 106 ms−^1

16.35

a. σxσp 5. 989 × 10 −^35 Js

c. σxσpx 1. 7614 × 10 −^34 Js

d. σxσpx 2. 7706 × 10 −^34 Js

16.39

d. 〈E〉 2. 50 E 1 

5 h^2

16 ma^2

σE 1. 50 E 1 

3 h^2

16 ma^2

e.Same as part d

f. Same as part d

16.45

a. 〈px〉

1

3

ha ̄

σpx

√

8

9

ha ̄

b. h ̄a and−h ̄a

16.47

a. TRUE

b. FALSE

c.TRUE

d. TRUE

e.TRUE

f. FALSE

g. TRUE

h. TRUE

i.TRUE

j. TRUE

Chapter 17 Exercises

17.4

eigenvalue 0

17.8

percentage error 0 .054%