Problems and Solutions on Thermodynamics and Statistical Mechanics

SO6 Problems d Solutioru on Thermodynom'cs d Statintical Mechanics

the N particle system is

so

F = -kTlnZ

Thus

SI = Nk ($+ ;In 3 (y) + :+So) ,

where

a

aP

So = lnzo - P- lnzo

The total entropy is

s = s1 + s,

= 2Nk [ ln- ~+~ln(~)+~+So1 N2.

(c) After mixing, the temperature of the ideal gas is the same as before,
so that

S' = 2Nk [h + -In 3 (7) 2rmkT + 5 +So] ,

2N 2