Halliday, Resnick & Walker — Entropy and the Second Law of Thermodynamics: Problem 72

Heat pump. A heat pump can act as a refrigerator to heat a house by drawing heat from outside, doing some work, and discharging heat inside the house. At what minimum rate must energy be supplied to the heat pump if the outside temperature is \(-10^{\circ}\text{C}\), the interior temperature is kept at \(22^{\circ}\text{C}\), and the rate of heat delivery to the interior must be \(16\text{ kW}\) to offset the normal heat losses there?