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## Homework Statement

Two equal bodies with temperatures T

_{1 }and T

_{2}.

T

_{1 }> T

_{2}. The specific heat c does not depend on temperature.

What is the maximal work which can be done from this system?

I have to get equation for max work which includes c and temperatures.

## Homework Equations

This seems to be rather simple problem, but it has been very difficult for me so far to understand the concepts and judgments behind this problem. So could someone please help me?

## The Attempt at a Solution

I know that we have to make a system.Where one body is the heater and other is cooler.

So i know:

The heat from heater

**dQ**

_{1}=T_{1}dS_{1}and cooler

**dQ**_{2}=T_{2}dS_{2}goes to reservoir where work is done

**dW=dQ**

_{1}-**dQ**_{2}=-**T**_{1}dS_{1}-**T**_{2}dS_{2}Offcourse i know that change in entropy is equal to

**dS=****dS**_{1}+**dS**_{2}The next step should be to establish that max work is equal to

**dA**

_{max}=-(dT)dSand further use the carno cycle efficiency coefficient

Do not have any idea how to do it keeping in mind the previous relations :(