1. The problem statement, all variables and given/known data A Carnot engine operates between two finite heat reservoirs of total heat capacity CtH and CtC. a) Develop an expression relating TH to TC at any time. b) Determine an expression for the work obtained as a function of CtH ,CtC , TH and initial temperatures TH0 and TC0. c) What is the maximum work obtainable? This corresponds to infinite time, when the reservoirs obtain the same temperature. In approaching this problem, use the differential form of Carnot s equation, dQh/dQc=-TH/TC and a differential energy balance for the engine, dW - dQH - dQc = 0 Here QH and QC refer to the reservoirs. 2. Relevant equations 3. The attempt at a solution I am having trouble with this problem really even getting started. I can't figure out how to use the hints to find T_H related to T_c through time. I gave it an attempt, but I am pretty sure my solution is wrong.