A Show That For A Reversible Heat Pump The Energy

(a) Show that for a reversible heat pump the energy required per unit of heat delivered inside the building is given by the Carnot efficiency (6):

W/Qh = ηc = (τh – τt)/τh

What happens if the heat pump is not reversible?

(b) Assume that the electricity consumed by a reversible heat pump must itself be generated by a Carnot engine operating between the temperatures τhh and τl. What is the ratio Qhh/Qh, of the heat consumed at τhh, to the heat delivered at τh? Give numerical values for Thh = 600K; Th = 300K; Tl = 270k.

(c) Draw am emergy-entropy flow diagram for the combination heat pump, similar to figures, but involving no external work at all. Only energy and entropy flows at three temperatures.

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