Physical Chemistry Third Edition

1326 K Answers to Numerical Exercises and Odd-Numbered Numerical Problems

9.19
a. vesc2414 m s−^1
b. fraction 1. 9 × 10 −^4
∆U 3 .335 kJ

9.21

a. fraction 0. 801

b. fraction 0. 801

9.23

a. T 8. 0 × 107 K

b.〈v〉 1. 30 × 106 ms−^1

c.T 8. 0 × 107 K

9.27

a. vs 352 .0ms−^1

air:vs346ms−^1

b. vs 352 .0ms−^1

c.vs 931 .1ms−^1

d. ratio 0. 741

e.fraction 0. 5757

9.29

c.σv 187 .4ms−^1

9.31

〈v〉 5. 72 × 10 −^10 ms−^1

9.37

a. F 2. 0 × 105 N (estimates will vary)

b. m 4. 4 × 104 pounds (estimates will vary)

9.39

m(atmosphere) 5. 27 × 1018 kg

ratio 8. 80 × 10 −^7

9.41

mass lost 3. 24 × 10 −^5 kg 32 .4mg

9.43

a. NO 2  6. 5 × 1011 m−^3

NN 2  2. 6 × 1012 m−^3

b. total number per second 3. 8 × 1010 s−^1

9.45

dn/dt 4. 31 × 1014 mol s−^1

9.47

a. P 20 .8Pa 0 .000205 atm

b. t 5. 84 × 10 −^6 s

9.49

t 4 .39 hours

9.51

b. At 273 K,r 3. 16 × 10 −^10 m

At 373 K,r 3. 12 × 10 −^10 m

At 473 K,r 3. 08 × 10 −^10 m

9.53

a. side of cube 2. 28 × 10 −^9 m

b. uLJ(r)− 7. 20 × 10 −^26 J

c.uLJ(min)− 1. 66 × 10 −^21 J

ratio 4. 35 × 10 −^5

9.55

Ptotal 0 .0692 atm

percent N 2  85 .3%

percent O 2  14 .7%

percent error 3 .0%

9.57

P−P 0 − 0 .014 atm

9.61

P 14 .18 Pa 1. 40 × 10 −^4 atm

9.63

For helium 4 εσ^6  1. 59 × 10 −^79 Jm^6

For neon 4 εσ^6  8. 36 × 10 −^79 Jm^6

For nitrogen 4 εσ^6  1. 35 × 10 −^77 Jm^6

For oxygen 4 εσ^6  1. 2 × 10 −^77 Jm^6

For argon 4 εσ^6  1. 02 × 10 −^77 Jm^6

For CO 2 4 εσ^6  8. 66 × 10 −^77 Jm^6

9.65

At 70 K,B 2 − 3. 2 × 10 −^4 m^3 mol−^1

At 140 K,B 2 − 9. 65 × 10 −^5 m mol−^1

At 300 K,B 2 − 1. 55 × 10 −^5 m mol−^1

B 2 0 at 403.5 K

9.69

a. z1(2) 5. 87 × 109 s−^1

b. z2(1) 2. 94 × 109 s−^1

c. number of collisions per second 3. 54 × 1033 s−^1

9.71

a. λ 1. 46 × 10 −^4 m

b. z 2. 60 × 106 s−^1

9.73

a. Z 12  3. 66 × 1034 m−^3 s−^1

9.75 λ≈ 6 × 1018 m≈ 3 × 1015 miles