Physical Chemistry Third Edition

1328 K Answers to Numerical Exercises and Odd-Numbered Numerical Problems

10.7
a. rate 5. 6 × 10 −^11 mol s−^1
b. zrms 2 .2mm

t

(0.100 m)^2

2(1. 4 × 10 −^9 m^2 s−^1 )

 3. 6 × 106 s990 hours

10.9
t 2. 5 × 10 −^6 s

10.11
a. u(0.002 m) 0 .0382 m s−^1
b. P 2 −P 1  3 .65 Pa
c.dV /dt 1. 79 × 10 −^6 m^3 s−^1
d.R 114

10.13
v633ms−^1
flow is apparently not laminar

10.15
t(H 2 SO 4 )2970 s

10.17
t(ethanol) 86 .0s

10.19
a. P 2 −P 1 350Nm−^2 350 Pa
b. R 2. 3 × 104

10.23
a. D 1. 01 × 10 −^5 m^2 s−^1
b. D 2. 65 × 10 −^5 m^2 s−^1

10.27
a. η 2. 70 × 10 −^5 kg m−^1 s−^1
b. η 2. 10 × 10 −^5 kg m−^1 s−^1
c.η 2. 70 × 10 −^5 kg m−^1 s−^1

10.29
D 12  3. 60 × 10 −^5 m^2 s−^1

10.31
At 100◦C,d 4. 18 × 10 −^10 m418 pm
At 200◦C,d 3. 88 × 10 −^10 m388 pm

10.33
a. D(He)/D(Ar) 8. 74
b. h ̄(He)/h ̄(Ar) 0. 876
c.η(1.00 atm)/h ̄(0.100 atm) 1
d.κ(Ar)/κ(Xe) 3. 22

10.35

Eaη 10 .2kJmol−^1

η 0  9. 94 × 10 −^4 kg m−^1 s−^1

10.37

M 2  17 .4kgmol−^1 17400 g mol−^1

10.39

r 2. 5 × 10 −^10 m

10.43

a. vmax 0 .0081 m s−^1  0 .018 mi h−^1

b. F 0 .00017 N

10.45

v 2. 9 × 104 ms−^1 (unusable)

R 2. 9 × 109

10.47

a. r 2. 7 × 10 −^9 m

b. D 2  9. 1 × 10 −^11 m^2 s−^1

c. zrms 7. 4 × 10 −^5 m 0 .074 mm

d. vsed 3. 5 × 10 −^6 ms−^1

10.49

a.

dV

dt

 0 .628 mL s−^1

b. P 2 −P 1 100 Pa

c. uz(0) 0 .100ms−^1

d. R 99 .5, laminar

10.51

a. |F| 8. 37 × 1019 N

b. m 8. 54 × 1018 kg 1. 88 × 1019 lb

10.53

t+ 0. 491

t− 0. 509

10.55

R13340 ohm

10.57

a. t(Na+) 0. 437

t(Cl−) 0. 444

t(Ac−) 0. 119

b. σ 0 .01720 ohm−^1 m−^1

c.R5820 ohm

10.59

a. zrms 5. 02 × 10 −^4 m

b. reff 7. 7 × 10 −^9 m

c. M345 kg mol−^1 345,000 g mol−^1