A heat engine is driving a heat pump and producing a power (work rate) output (Wnet) as shown in the figure. Assume THi and TH2 are identical but higher than the ambient temperature TL. Determine for each of the three cases shown below if the combined system (heat engine-heat pump) satisfies or violates the first law and the second law. Explain why for all cases.
THI QH1
TH2 QH2
Wnet
Heat Engine
Heat down
W s QL1
W2
Combined system
QL2
TL
QH1[kW] 6 6 3
Q1[kW] 4 4 2
W[kW] 2 2 1
QH2[kW] 3 5 4
QL2[kW] 2 4 3
Wz[kW] 1 1 1
Case I Case II Case III