An ideal air conditioner oprating on a Carnot cycle absorbsheat Q 1 from the hou

Question

An ideal air conditioner oprating on a Carnot cycle absorbsheat Q1 from the house at temperature T2 anddicharges Q1 to the outside at temperatureT1, comsuming electrical energy E. Heat leakage into thehouse is: Q=A[T1-T2] where A is a constant. Derive an expression for T2in terms of T1, E and A for a continous operationwhen the steady state has been reached. An ideal air conditioner oprating on a Carnot cycle absorbsheat Q1 from the house at temperature T2 anddicharges Q1 to the outside at temperatureT1, comsuming electrical energy E. Heat leakage into thehouse is: Q=A[T1-T2] where A is a constant. Derive an expression for T2in terms of T1, E and A for a continous operationwhen the steady state has been reached.

Explanation / Answer

As total energy conserves E=A[T(1)-T(2)] T(2)=T(1)-E/A Best possible Answer

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