A closed, partly insulated cylinder divided by an insulated piston contains air in one side and water on the other, as shown in Fig. P8.59. There is no insulation on the end containing water. Each volume is initially 100 L, with the air at 40C and the water at 90C, quality 10%. Heat is slowly transferred to the water, until a final pressure of 500 kPa. Calculate the amount of heat transferred.