Air enters the duct of an air-conditioning system at 42∘C and 66 kPa at a velocity of 2 m/s. Mass flow rate is 2 kg/s. Heat is transferred to the air in the duct from the surroundings. There is also an electric power input of 25 kW. The air exits the duct at 57 ∘C. Determine (a) the heat transfer rate to the duct, (b) density of the air entering the duct, (c) the volume flow rate at the inlet, and (d) diameter of the duct.[ R=0.287kPa *m^3/kg* K, :Cp=1.005 kJ/kg* C