Physical Chemistry Third Edition

1316 K Answers to Numerical Exercises and Odd-Numbered Numerical Problems

3.55

Sst 20 .66JK−^1

Chapter 4 Exercises

4.1

a. (∂V /∂S)P,n8124 K m−^3

b. (∂V /∂S)P,n4062 K m−^3

c.(∂V /∂S)P,n16248 K m−^3

4.2

a. (∂V /∂S)P,n 0 .00118 K Pa−^1

b. Same as part a.

4.3

b. (∂S/∂P)T,n− 8. 226 × 10 −^5 JK−^1 Pa−^1

4.4

∆S 19 .37JK−^1

∆S(ideal) 19 .14JK−^1

4.5

(∂U/∂V)T,n309 J m−^3 309 Pa

4.6

a. (∂U/∂V)T,n1113 atm

4.7

b. (∂H/∂P)T,n− 7. 54 × 10 −^5 JPa−^1  7 .441 J atm−^1

4.8

a. CV,m 74 .841 J K−^1 mol−^1

b. CP, m−CV, m 0

d.γ 1. 0106

For argon gas,γ 1. 667

4.9
CV 0 .4418 J K−^1 g−^1

4.11

a. f 504 .2 kPa

b. f496900 Pa

c.f 1. 434 × 106 Pa

4.12

a. Gm−G◦m 7. 09 × 10 −^2 J mol−^1

b. Gm−G◦m 6 .38 J mol−^1

4.13

a. ∆G 383 .15K≈−1090 J mol−^1

b. ∆G 383 .15K≈−1090 J mol−^1

4.17

a. μi−μ◦i 0 .0326 kJ mol−^1

b. μi−μ◦i 5 .741 kJ mol−^1

Chapter 4 Problems

4.3

a. ∆H◦− 571 .660 kJ mol−^1

b. wsurr 101 .9kJ

c.∆S◦− 326 .607JK−^1 mol−^1

∆G◦− 474 .282 kJ mol−^1

d. wnet,surr,max 474 .282 kJ

wtotal,surr,max 469 .314 kJ

4.7

b. ∆S 11 .376JK−^1

4.9

b. ∆S 23 .157JK−^1

∆Sideal 23 .053JK−^1

4.13

vs1302 m s−^1

4.15

c. lim

P→ 0

μJT 4. 3 × 10 −^6 KPa−^1

4.17

a. Hm(P 2 )−Hm(P 1 ) 91 .04 J mol−^1

b. Hm(P 2 )−Hm(P 1 ) 92 .64 J mol−^1

c. ∆fusHm6004 J mol−^1

4.21

a. w−1716 J

b. ∆S 5 .736JK−^1

c.∆U 0 .0099 J

d. w 0

∆U 0 .0099 J

q 0 .0099 J

∆S 5 .736JK−^1

4.23

b. Sm−Sm◦− 7 .53434 J K−^1 mol−^1

4.25

b. ∆U 123 .8J

4.27

b. ∆S− 0 .0374 J K−^1