Concise Physical Chemistry

ans JWBS043-Rogers September 15, 2010 1:22 Printer Name: Yet to Come

ANSWERS TO SELECTED ODD-NUMBERED PROBLEMS 367

CHAPTER 13

13.1–54.8 kJ mol−^1 ;13.3 59 μg;13.5a45.9 S;13.5b368 S;13.755.35 mols dm^3 ,

1.81× 10 −^6 ,1.01× 10 −^14 ,1.00× 10 −^7 mol dm^3.

CHAPTER 14

14.1acopper;14.1b0.740 volts;14.3aKsp∼= 5 × 10 −^13 ;14.3b

[

Ag+

]

= 7 × 10 −^7

There are no units because this is a ratio to a standard state;14.5

[

Fe+^3 (aq)

]

≈

10 −^29 mol dm^3 (With these approximations, we can take this as an approximate

concentration.)14.7pH=5.6 (slightly acidic);14.9–2.12 volts.

CHAPTER 15

15.1 4. 57 × 1014 Hz, 3. 03 × 10 −^19 J; 15.5 x·x=

⎛

⎜

⎝

30 36 42. 3

66 81 96. 6

102. 7 126. 8 151. 81

⎞

⎟

⎠,

x·x−^1 =

⎛

⎜

⎝

1 − 3. 553 × 10 −^150

3. 553 × 10 −^1510

4. 441 × 10 −^15 − 4. 621 × 10 −^151

⎞

⎟

⎠

CHAPTER 16

16.1 y(x)=

∫∞

−∞

xe−x

2

dx=0; 16.3 φ(x)=e−λx; 16.5 (x)=

√

2sin

2 πx

λ

;

16.9(x)=

√

2sin

2 πx

λ

.

CHAPTER 17

17.1–2, 1,−1, 0, sin^2 θ−cos^2 θ;17.3a 22. 22 × 10 −^6 cm;17.3b 22. 22 × 10 −^8 m;

17.3c 22. 22 × 10 −^15 nm; 17.3d 22. 22 × 10 −^18 pm, 22. 22 × 10 −^14 A, 1. 349 ×

1015 Hz, 8. 938 × 10 −^19 J;17.5 1. 00 × 10 −^28 J;17.7

1

√

n

;17.9 EHe=− 77 .45,

about 2%.

CHAPTER 18

18.1 6. 63 × 10 −^20 J; 18.5 2142 .5cm−^1 , 1856 N m−^1 ; 18.9 2. 82 × 10 −^29 C

m= 8 .47 D;18.11 15. 9 × 10 −^24 cm^3 mol−^1 ,1.44 D;18.13