- #1

SevenTacos

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## Homework Statement

You have an infinite heat reservoir with temperature Th. But you’ve only got a finite cool reservoir, with initial temperature Tc0 and heat capacity C. Find an expression for the maximum work you can extract if you operate an engine between these two reservoirs.

## Homework Equations

## The Attempt at a Solution

I've been stumped at this for hours. I know I simply need to integrate work as dW= dQc + dQh. So i need to define Qc and Qh. Qc = (Cc)(dTc) and Qh= (Ch)(dTh) correct? I am completely at a loss on defining dTc and dTh however. I'm essentially confused because Tc depends on how much energy (q) the engine has deposited into the cold resevoir. When I try to create an equation, I come up with: Tc= Tc0 + (Qc)(C) But to define q, you need Tc. How do you define these variables when they rely on each other? Please Help!