Solving Heat Radiation Problem: Max Work from N Identical Containers

[neelakash]

Homework Statement

N identical containers each of volume V and of negligible heat capacity are initially filled with radiations characteristic of temperatures T1,T2...Tn.Show that if no work or heat is available from other sources then by operating reversible heat engines between the containers,the maximum work that can be extracted is

W_max=AV [∑(T_i)^4-N^(-1/3)*{∑(T_i)^3}^(4/3)]

where i runs from 1 to n.

Homework Equations

The Attempt at a Solution

Please help me to start with this problem...I do not know LATEX...actually right now I do not have time to learn LATEX...

I am toally stuck at this.

 

[Chronos]

Think entropy.