A heat pump is operating between two reservoirs at -10 $\circ$ C and 50 $\circ$ C.The maximum possible coefficient of performance for the heat pump is

Question

Quizplus · Accepted Answer

The maximum possible coefficient of performance (COP) for a heat pump is given by the formula: COP = T_hot / (T_hot - T_cold), where T_hot and T_cold are the temperatures of the hot and cold reservoirs, respectively, in Kelvin. First, convert the temperatures from Celsius and Fahrenheit to Kelvin. -10°C = 263.15K and 50°C = 323.15K. Plugging these into the formula gives COP = 323.15 / (323.15 - 263.15) = 323.15 / 60 = 5.3858, which rounds to 5.38, making option D correct.

A Heat Pump Is Operating Between Two Reservoirs at -10 ∘\circ∘

A Heat Pump Is Operating Between Two Reservoirs at -10^$\circ$