Problems and Solutions on Thermodynamics and Statistical Mechanics

180 Problems €4 Sdutio~ on Thermcdynamica d Statistical Mechanics

Solution:

have

(a) The number of the translational degrees of freedom is 3. Thus we

so w 0 = w 2 x 103 m/s.

M

(b) The number of the rotational degrees of freedom is 2. Hence

1 2

-IG2 = -kT ,

2 2

1

where I = m..^2 = -mr2 is the moment of inertia of the molecules

Ha, rn is the mass of the atom H and r is the distance between the two

hydrogen atoms. Thus we get

(;I2 2

(c) The molar heat capacities are respectively

5

7

C --R=21 J/mol.K,

C - -R = 29 J/mol. K.

v-2

p-2

2020

The circuit shown is in thermal equilibrium with its surroundings at

a temperature T. Find the classical expression for the root mean square

current through the inductor.

(MIT)

Fig. 2.6.