A heat pump that operates on a Carnot cycle cools a house in a very hot climate.

A heat pump that operates on a Carnot cycle cools a house in a very hot climate. During the hottest part of the day, the outside temperature is 45 ∘C, and you want to keep the inside temperature at 20 ∘C. The heat pump operates on electricity.

Part A

What is the coefficient of performance of cooling during the hottest part of the day?

COPcooling =

Part B

At what maximum rate does the pump use electrical energy if it removes thermal energy from the house at a rate of 3.30 kW ?

(dWdt)max =