A certain room measures 20ft by 12ft by 8ft. (a) Compute the thermal capacitance of the room air using c p ​ =6.012×10 3 ft−lb/ slug- ∘ F and rho=0.0023slug/ft 3 . (b) How much energy is required to raise the air temperature from 68 ∘ F to 72 ∘ F, neglecting heat transfer to the walls, floor, and ceiling?