Physical Chemistry Third Edition

K Answers to Numerical Exercises and Odd-Numbered Numerical Problems 1333

2,2,1 8

1

16

1

2,2,2 8

1

4

1

2,2,3 8

9

16

1

2,3,1; 3,2,1 13

1

16

2

2,3,2; 3,2,2 13

1

4

2

3,3; 3,2,3 13

9

16

2

3,3,1 18

1

16

1

3,3,2 18

1

4

1

3,3,3 18

9

16

1

Chapter 15 Problems

15.1
vrms 432 .8ms−^1
λ 2. 307 × 10 −^11 m

15.3
vp2224 m s−^1

λ 1. 78 × 10 −^10 m

15.9
a. E 1  1. 247 × 10 −^19 J
E 2  4. 989 × 10 −^19 J
E 3  1. 1226 × 10 −^18 J
b. ν 9. 41 × 1014 s−^1
λ319 nm

15.13
number of nodes 3. 4 × 1035
λ 5. 4 × 10 −^35 m

15.15
a. E 111  1. 81 × 10 −^19 J
E 211  3. 62 × 10 −^19 J
b. g 111 1,g 211  3
c.ν 2. 73 × 1014 s−^1
λ 1. 10 × 10 −^6 m

15.17

λ 1. 34 × 10 −^7 m

15.19

b. ψ 2 (xt) 0. 39238 a^1 /^4

c. ψ 2 (xt)^2  3. 2347 × 1010 m−^1  3 .2347 Å

− 1

15.23

b. Relative maxima atx0 andx±

√

5

2 a

Relative minima atx±

√

1

2 a

c.Relative maxima atx0 andx/xt±

√

1 / 2

Relative minima atx/xt

√

1 / 10

d.Atx±

√

5

2 a

,ψ 22  0. 37049

√

a

Atx0,ψ 22  0. 28209

√

a

15.25

b.

v 1 ,v 2 values E/hνdegeneracy

0,0 1 1

1,0; 0,1 2 2

1,1; 0,2; 2,0 3 3

1,2; 2,1; 0,3; 3,0 4 4

2,2; 1,3; 3,1; 0,4; 4,0 5 5

2,3; 3,2; 4,1; 1,4; 0,5; 5,0 6 6

3,3; 2,4; 4,2; 5,1; 1,5; 0,6; 6,0 7 7

3,4; 4,3; 2,5; 5,2; 1,6; 6,1; 0,7; 7,0 8 8

4,4; 3,5; 5,3; 2,6; 6,2; 1,7; 7,1; 0,8; 8,0 9 9

4,5; 5,4; 3,6; 6,3; 2,7; 7,2; 1,8; 8,1; 0,9; 9,0 10 10

5,5; 4,6; 6,4; 3,7; 7,3; 2,8; 8,2; 1,9; 9,1; 0,10; 10,0 11 11

15.27

a. μ 1. 653 × 10 −^27 kg

μ/mH 0. 9877

b. k 411 .8Nm−^1

15.31

λ 1. 6629 × 10 −^9 m

15.33

a. FALSE

b. FALSE

c.TRUE

d. TRUE

e.TRUE

f. FALSE

g. FALSE