A reversible heat engine is used to drive a reversible heat pump. The power cycle takes in

Question:

A reversible heat engine is used to drive a reversible heat pump. The power cycle takes in Q1 heat units at T1 and rejects Q2 heat units at T2. The heat pump extracts Q4 from a heat sink at T4 and discharges Q3 at T3. (a) Develop an expression for Q4/Q1 in terms of the four given temperatures.
(b) Evaluate the expression for T1 = 500 K, T2 = 300 K, T3 = 400 K, and T4 = 300 K.