A piston-cylinder contains 2 kg of steam. The piston is frictionless and rests on two stops. The steam inside is initially at 1000 kPa and 75% quality. Heat is added until the temperature is 500°C. However, the piston does not move until the system pressure reaches 2 MPa and then it moves at constant pressure. Determine (a) the system work; (b) the total heat transferred.