An ideal air conditioner operating on a Carnot cycle absorbes heat Q2 from a house at temperature T2 and discahrges Q1 to the outside at temperature T1, consumng elecrical energy E. Heal leakage into the house is related to the temperature difference by a linear relation, Q=A[T1-T2], when A is a constant. Derive an expression for T2 in terms of T1, A and E for continuous operation when the steady state has been reached.