Problems and Solutions on Thermodynamics and Statistical Mechanics

196 Problema E/ Solutio~ on Thermcdynamica d Statintical Mechanics

The specific heat at constant volume is

c, = (g) = Nok (2-)acsch2 (L)

V 2V kT 2VkT '

(b) As shown in Fig. 2.9.

Fig. 2.9.

(c) The equation of state is

p = - No - - a 1nz = - No'Y coth (&) ,

P av 2v2

where p is the pressure.
(d) The fraction of particles in the m-th level is

2034
The molecules of a certain gas consist of two different atoms, each with
zero nuclear spin, bound together. Measurements of the specific heat of this
material, over a wide range of temperatures, give the graph shown below.