(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 Q h c ( h t ) h 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 hh and l What is the ratio Q hh Q h , of the heat consumed at hh , to the heat delivered at h Give numerical values for T hh 600K T h 300K T l 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 Input p Entropy Ilest Eetrepy He New entopy Output work Outpul work IV 0,0 , E Ouiput Entropy Output Output (b) (a) Entropy Heat Input work New entropy a, Q, , Entropy Heat Input (c)

Question: (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

(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/Q_h = ηc = (τ_h – τ_t)/τ_h

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 τ_hh and τ_l. What is the ratio Q_hh/Q_h, of the heat consumed at τ_hh, to the heat delivered at τ_h? Give numerical values for T_hh = 600K; T_h = 300K; T_l= 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.

Input pи Entropy Ilest Eetrepy He New entopy Output work: Outpul work: IV 0,0/, Eнгору Ouiput Entropy Неи Не?

Input p Entropy Ilest Eetrepy He New entopy Output work: Outpul work: IV 0,0/, E Ouiput Entropy Output Output (b) (a) Entropy Heat Input work: New entropy a, = Q,/, Entropy Heat Input (c)

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