Physical Chemistry Third Edition

K Answers to Numerical Exercises and Odd-Numbered Numerical Problems 1337

19.19
a. E(1) 8. 011 × 10 −^20 J
E(0) 6. 025 × 10 −^20 J
b. E(1) 8. 011 × 10 −^22 J
E(0) 6. 025 × 10 −^20 J

19.21
EE(0)+E(1) 4. 37 × 10 −^20 J+ 1. 73 × 10 −^24 J

19.25
The terms are^3 D and^1 D

19.27
ForZ 1 .776,〈r〉 2 s179 pm
ForZ 2 .686,〈r〉 2 s 118 pm

19.29
a. Fe: Ar^2 (3d)^6
b. Rn: Xe^2 (4f)^14 (5d)^10 (6p)^6
c.Tc: Kr^2 (4d)^5
d. Rb: Kr^1

19.31
a.^4 S
b.^3 P
c.^7 S
d.^5 D

19.33
a.^7 D 5
b.^1 S 0
c.^4 S 3 / 2
d.^2 S 1 / 2

19.37
H, He, Li, Be, N, and Ne

19.39
a. Fe^3 +: Ar^5
V : Ar^2 (3d)^3
b. Fe^3 +:^6 S
V:^4 F

19.41

a. E
(0)
1 +E

(1)

1 

h^2

8 ma^2

+

ba

2

b. W

h^2

8 ma^2

+

ba

2

c.W

7 h^2

4 π^2 ma^2

+

5 ba

8

d. W

h ̄^2

2 ma^2

(

n(2n+2)(2n+3)

2(2n−1)

)

+ba

(

2 n+ 1

2 n+ 4

)

e.By the formula of part a,W 5. 225 × 10 −^20 J

By the formula of part c,W 7. 546 × 10 −^20 J

f. Forn1,W 5. 304 × 10 −^20 J

19.43

b. E(0) 6. 025 × 10 −^20 J

E(1) 4. 24 × 10 −^21 J

19.47

a. FALSE

b. FALSE

c.FALSE

d. TRUE

e.FALSE

f. TRUE

g. FALSE

h. TRUE

i. FALSE

j. FALSE

k. TRUE

Chapter 20 Exercises

20.1

a.̂i(1,2,3)(−1,−2,−3)

b. ̂σh(4,−2,−2)(4,−2, 2)

c.̂σvyz(7,−6, 3)(−7,−6, 3)

20.2

a. ̂C 4 x(1,2,3)(1,−3, 2)

b. ̂C 3 y(1,1,0)(− 0 .500, 1,− 0 .866)

20.16

b. Ψ 4 σ− 1. 34 Ψ2sp(1)Li+ 1. 24 Ψ1sH

20.19

a. μ 1. 807 × 10 −^29 Cm 5 .418 Debye

20.20

a. |XO−XC| 1 .1 (Table value 1 .0)

b. |XCl−XC| 0 .6 (Table value 0 .5)

20.21

a. polar covalent

b. polar covalent

c.polar covalent

d. primarily ionic

f. pure covalent