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# ch8 - Chapter 8 Statistical Physics 8-1(a(b 8-2(a(b...

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183 Chapter 8 ! Statistical Physics 8-1. (a) (b) 8-2. (a) (b) 8-3. (Equation 8-12) (a) For O 2 : (b) For H 2 : 8-4.

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Chapter 8 Statistical Physics 184 8-5. (a) (b) One mole of any gas has the same translational kinetic energy at the same temperature. 8-6. where where I 4 is given in Table B1-1. 8-7.
Chapter 8 Statistical Physics 185 (Problem 8-7 continued) At the maximum: The maximum corresponds to the vanishing of the last factor. (The other two factors give minima at v = 0 and v = .) So and . 8-8. (a) (b) (c) (d) (e) 8-9. (Equation 8-28) The v for which dn dv = 0 is v m .

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Chapter 8 Statistical Physics 186 (Problem 8-9 continued) Because A = constant and the exponential term is only zero for , only the quantity in [] can be zero, so or (Equation 8-29) 8-10. The number of molecules N in 1 liter at 1 atm, 20°C is: Each molecule has, on the average, kinetic energy, so the total translational kinetic energy in one liter is: 8-11. 8-12.
Chapter 8 Statistical Physics 187 8-13. There are two degrees of freedom; therefore, , , and . 8-14. (a) (b) (c) The values for each element shown in brackets are taken from the Handbook of Chemistry and Physics and apply at 25° C. 8-15. . At the maximum: The maximum corresponds to the vanishing of the last factor. (The vanishing of the other two factors correspond to minima at E = 0 and E = .) .

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Chapter 8 Statistical Physics 188 8-16. (a) (b) (c) (d) (e) (or no molecules most of the time) 8-17. (Equation 8-14) The degeneracies of the lowest four hydrogen states are: n = 1, g(E 1 ) = 2; n = 2, g(E 2 ) = 8; n = 3, g(E 3 ) = 18; n = 4, g(E 4 ) = 32 For the Sun
Chapter 8 Statistical Physics 189 8-18. (a) 8-19. (a) (b) At temperature T, 8-20. Assuming the gases are ideal gases, the pressure is given by: for classical, FD, and BE particles. P

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