1. The problem statement, all variables and given/known data An oil-filled radiator is used to maintain the temperature of a room at 21C when the outside temperature is 10C. The radiator has a surface area of 1.5 m2, and a surface temperature of 70C. Given that the radiator is made of a metal with a thermal conductivity 80 Wm-1K-1, thermal convection coefficient of 9.5 Wm-2K-1 and an emissivity of 0.8. Question 1: If it was decided that a heat pump would be a better wat to heat this room, how much work would be done by the pump with a coefficient of performance of 9? Question 2: If both the radiator and pump were run by electricity, which would be the cheaper option? Why? 2. Relevant equations Currently, the rate at which heat is transferred into the room by convection plus radiation from the radiator is equal to the rate at which heat is conducted through the metal. The Rate of Transfer is 1131.67 W (not sure if this is relevant) 3. The attempt at a solution Not sure what to do as only given the coefficient of performance as 9.