An insulated weighted piston-and-cylinder assembly is attached through valve at a large water supply line is at a constant pressure of 600 kPa and a constant temperature of 100 °C. The piston initially contains 0.1m ^ 3 of air at 10 kPa and 30 °C. When the valve is opened, air enters the cylinder and pushes the piston upwards smoothly in such a manner that the air pressure in the cylinder remains constant at 150 kPa. The filling process is terminated when the final volume of air in the cylinder is twice its initial volume. Assuming air to be an ideal gas with c p = 1.007 kJ/kg . K and c v =9.72 kJ/kg K. Determine: (a) The final temperature of the air in the cylinder, (b) The mass of air added through the valve