Air is contained in a vertical piston – cylinder assembly fitted with an electric heater. The piston has a mass of 50 kg and cross sectional area of `0.1 m^(2)`. Mass of the air inside the cylinder is 0.3 kg. The heater is switched on and the volume of the air slowly increases by `0.045 m^(3)`. It was found that the internal energy of the air increased by `32.2 kJ//kg` and that of the piston increased by 0.06 kJ/kg. Assume that the container walls and outer surface of the piston are well insulated and there is no friction. The atmospheric pressure is 100 kPa. Determine the heat transferred by the heater to the system consisting of air and the piston.

Answer

`17.38 kJ`