Physical Chemistry Third Edition

1332 K Answers to Numerical Exercises and Odd-Numbered Numerical Problems

14.11

a. L

0 .786 m

2

 0 .393 m

b. L 0 .197 m

14.15
a. T 580 .1N
b. c440 m s−^1

14.17
a. ν 5. 087 × 1014 s−^1
b. λ 3. 626 × 10 −^7 m

14.19
λmax 0 .00106 m

14.21
a. ν(threshold) 1. 52 × 1015 s−^1
λ(threshold) 1. 97 × 10 −^7 m
b. K(max) 1. 95 × 10 −^19 J

14.23
a. Forn4,v 5. 47 × 105 ms−^1
Forn400,v 5. 47 × 103 ms−^1

b. Forn4,

v

c

 1. 82 × 10 −^3

Forn400,

v

c

 1. 82 × 10 −^5

14.25
r 52 .9m

14.27
Forn 2 2,λ 1. 2157 × 10 −^7 m
Forn 2 3,λ 1. 0257 × 10 −^7 m
Forn 2 4,λ 9. 7254 × 10 −^8 m
Forn 2 5,λ 9. 4975 × 10 −^8 m
Forn 2 6,λ 9. 3781 × 10 −^8 m
Forn 2 7,λ 9. 3075 × 10 −^8 m

14.29
number of orbits 140

14.31
a. μ 4. 5547 × 10 −^31 kg
b. a(positronium) 1. 0584 × 10 −^10 m
c.E 1 (positronium)− 6 .80 eV

14.33
a. a 0  1. 201 × 1029 m
b. E 1 − 4. 234 × 10 −^97 J− 2. 643 × 10 −^78 eV
E 2 − 1. 058 × 10 −^97 J− 6. 604 × 10 −^79 eV
E 3 − 4. 704 × 10 −^98 J− 2. 936 × 10 −^79 eV

14.35

a. TRUE

b. FALSE

c.FALSE

d. TRUE

e.TRUE

Chapter 15 Exercises

15.1

v 3. 38 × 106 ms−^1

15.6

a. ν 4. 546 × 1014 s−^1

λ 6. 594 × 10 −^7 m

15.7

a. For then2 state,ν 3. 637 × 1014 s−^1

For then3 state,ν 8. 183 × 1014 s−^1

b. ∆ν 4. 546 × 1014 s−^1

15.8

a.

state Edivided by

h^2

8 ma^2

degeneracy

1,1,1 3 1

1,1,2; 1,2,1; 1,1,2 6 3

1,2,2; 2,1,2; 2,2,1 9 3

1,1,3; 1,3,1; 3,1,1 11 3

2,2,2 12 1

b.

state Edivided by

h^2

8 ma^2

degeneracy

1,1,1 2

1

16

1

1,1,2 2

1

4

1

1,1,3 2

9

16

1

1,2,1; 2,1,1 5

1

16

2

1,2,2; 2,1,2 5

1

4

2

1,2,3; 2,1,3 5

9

16

2