A cylinder fitted with a frictionless piston contains water at 300 kPa and 200 degrees C, at which point the volume is 0.2 m^3. The piston is now moved slowly compressing the water to a pressure of 700 kPa. During this process PV^(0.9) = constant. Assuming that the room temperature is 20 degrees C, show that the process does not violate the second law, by evaluating the entropy produced.