You have two systems A and B inside a larger total system. System A is at 1000 K and System B is at 500 K. The total system is at 700 K. System A delivers 500 kJ of energy to system B in terms of heat transfer. (4 total points)
Total System
700 K
1000 K Q=500 kJ
500 K
a) Show that even if we assume the heat output from A and heat input to B to be reversible, the process adds irreversibility to the total system. (2 points)
b) If you want to maintain the entropy of the total system the same as before, how much heat do you need to take away from the total system (assume this is reversible)? (2 points)