A 2 phase liquid-vapor mixture of water, initially with a quality of 25%, is contained in a piston-cylinder. The piston mass is 40 kg, and the diameter is 10 cm, and atmospheric pressure is 1 bar. Initially the piston is displaced 1 cm above the bottom of the cylinder. As the water is heated, the piston expands 3 cm upwards at constant pressure until it hits stops. Heat transfer continues until the pressure is 3 bars. Find the total heat transfer in J.