1. The problem statement, all variables and given/known data 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. 2. Relevant equations 3. 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!