Question # $3.(1\mathrm{.}5$ Marks$)$ Carnot Refrigerators and Heat Pumps

A Carnot refrigerator operates in a room in which the temperature is $25C.$ The refrigerator consumes $500(W)$ of power when operating and has a COP of $4\mathrm{.}5.$ Determine a$)$ the rate of heat removal from the refrigerated space and b$)$ the temperature of the refrigerated space. $($Answers: a$)135(k\frac{J}{m}$inb$)-29\mathrm{.}2C)$