A cylinder fitted with a frictionless piston contains water at 300 kpa and 200C, 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 temp is 20C, show the process does not violate the second law, by evaluating the entropy produced.