A spring-loaded piston/cylinder contains water at 100 kPa with v 0.07237 m3/kg. The water is now heated to a pressure of 3 MPa by a reversible heat pump extracting Q from a reservoir at 300 K. It is known that the water will pass through saturated vapor at 1.5 MPa and that pressure varies linearly with volume. Find the final temperature, the heat transfer to the water and the work input to the heat pump.