Physical Chemistry Third Edition

K Answers to Numerical Exercises and Odd-Numbered Numerical Problems 1335

17.13

〈

1

r

〉 1. 89 × 1010 m−^1

〈V〉 4. 36 × 10 −^18 J

17.15
vrms 2. 012 × 108 ms−^1
67% of the speed of light

Chapter 17 Problems

17.1

Distance from the nucleus to the center of
mass 5. 44 × 10 −^14 m
Distance from the electron to center of
mass 9. 995 × 10 −^11 m

17.3
x 449 .5km

17.9
〈θ〉

π

2

 1 .5708 radians 90. 00 ◦

σθ 0 .68367 radians 39. 171 ◦

17.11
a. 〈φ〉π 180 ◦
σφ 1. 94676  111. 541 ◦
b. 〈φ〉π 180 ◦
σφ 1. 6703  95. 701 ◦

17.13

〈r〉 2 s 

6 a

Z

〈r〉 2 p 

5 a

Z

17.15
Forba: probability 0. 3233  32 .33%
Forb 2 a: probability 0. 7619  76 .19%
Forb 3 a: probability 0. 9380  93 .80%

17.17
1 s:rmaxa 5. 2947 × 10 −^11 m
2 s:rmax 5. 23606 a 2. 7724 × 10 −^10 m
2 p:rmax 4 a 2. 1179 × 10 −^10 m

17.21
λ 91 .176 nm

17.23

〈px〉 0

〈p^2 x〉 1. 32228 × 10 −^48 kg^2 m^2 s−^2

17.25

ForZ2,〈K〉 8. 7148 × 10 −^18 J

ForZ3,〈K〉 1. 9608 × 10 −^17 J

ForZ4,〈K〉 3. 4859 × 10 −^17 J

17.33

For l1: ratio 1. 4142 ...

For l2: ratio 1. 2247 ...

For l3: ratio 1. 1547 ...

For l4: ratio 1. 1180 ...

17.35

ForZ1,〈r〉

3 a

2

 7. 942 × 10 −^11 m

ForZ2,〈r〉

3 a

4

 3. 971 × 10 −^11 m

ForZ3,〈r〉

3 a

6

 2. 647 × 10 −^11 m

17.37

rmax 4 a 2. 1179 × 10 −^10 m

17.39

a. ν 2. 466 × 1015 s−^1

b.

dφnode

dt

 1. 5495 × 1016 radians s−^1

 2. 466 × 1015 revolutions s−^1

c.ω 2. 580 × 1015 radians s−^1

d. v 5. 464 × 105 ms−^1

17.41

The smallest angle 9. 7356 ◦

The largest angle 170. 264 ◦

17.43

a. λ 3. 368 × 10 −^10 m

b. ratio to the circumference 1. 012

17.45

〈Lz〉 0

σLzh ̄

17.47

〈Lx〉 0

〈L^2 x〉 0

〈L^2 y〉h ̄^2