Problems and Solutions on Thermodynamics and Statistical Mechanics

23

The solution is

Hence
Ei - E2
Ei -+--1 E2

w= f1- f2=

el e2
(b) For black bodies, W = El - E2 = u(Tf - T;) = 460 W/m2.
(c) Assume that the n interspersed plates are black bodies at temper-
atures tl, t2,... , t,. When equilibrium is reached, we have

T: - t: = t: - Ti , for n = 1 ,

with solution

with solution

Then in the general we have

Tf - tt = t; - tf = ... = t,^4 - Ti ,

with solution

d

W = o(T~ - Ti) = -(Tt - Ti).

n+l