Find the ratio of the coefficients of performance for two ideal heat pumps used as heaters for a house.The house is kept at 21 $\circ$ C in both cases.In case 1 the outside temperature is 4.0 $\circ$ C,in case 2 the outside temperature is -14 $\circ$ C.

Question

Quizplus · Accepted Answer

The coefficient of performance (COP) for a heat pump is given by COP = T_hot / (T_hot - T_cold), where temperatures are in Kelvin. For case 1, T_hot = 294K and T_cold = 277K, COP1 = 294 / (294 - 277) = 294 / 17. For case 2, T_hot = 294K and T_cold = 259K, COP2 = 294 / (294 - 259) = 294 / 35. The ratio COP1/COP2 = (294/17) / (294/35) = 35/17 ≈ 2.1.

Find the Ratio of the Coefficients of Performance for Two ∘\circ∘

Find the Ratio of the Coefficients of Performance for Two $\circ$