Please include detailed work for answers.
A window air conditioner uses 1272 W of electricity and has acoefficient of performance of 3.64. For simplicity, let's assumethat all of that electrical energy is transformed into work done bythe air conditioner to cool a room with dimensions of 7 m x 7 m x 3m. The air inside this room will initially have the sametemperature as the air outside (318 K) and the air conditioner willattempt to cool the room to 295 K. For the purposes of estimation,assume that the air in this room will be cooled at constant volume,that the specific heat of the air at constant volume is 720 J/kg-K,and that the density of the air is 1.2 kg/m3.
1)How much energy mustbe transferred out of this room in order to decrease thetemperature of the air from 318 K to 295 K? ___J
2)How much work willbe done by the air conditioner during the process of cooling theroom? ___J
3)How much time inminutes will it take for the room to cool using this airconditioner? ___minutes
4)How much time inminutes would the cooling process take if instead we used an airconditioner that uses a Carnot cycle that operates between 318 Kand 295 K? ___minutes
