Concise Physical Chemistry

c08 JWBS043-Rogers September 13, 2010 11:25 Printer Name: Yet to Come

PROBLEMS AND EXAMPLES 123

Problem 8.6

Given that

Qtr=

(

2 πm

h^2 β

) 3 / 2

a^3 =

(

2 πm

h^2 β

) 3 / 2

V

arises from space quantization in a container of volumeV,

E=

n^2 h^2

8 ma^2

where does the 2πcome from in the numerator?

Problem 8.7

Find the translational partition function for I 2 (g) and the translational partition func-

tion for I(g).

Problem 8.8

Find the thermal wavelengths for I 2 (g) and I(g). From these wavelengths and the

dissociation energy of 152.3 kJ mol−^1 , find the equilibrium constant at 1000 K

ignoring internal modes of motion.

Problem 8.9

Refine the result of Problem 8.8 by taking into account the vibrational and rotational

motions of the I 2 (g) molecule. The multiplicity factor is 4.