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A reversible power cycle receives energy H Q from a reservoir at temperature H T and rejects C Q to a reservoir at temperature C T. The work developed by the power cycle is used to drive a reversible heat pump that removes energy 'C Q from a reservoir at temperature 'C T and rejects energy 'H Q to a reservoir at temperature H T.

(i) Develop an expression for the ration ' / H H Q Q in terms of the temperatures of the four reservoirs.

(ii) What must be the relationship of the temperatures ' , , ' ' H C C H T T T and T for' / H H Q Q to exceed a value of unity?

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