In both problems, draw a sketch of the setup first. 1. An insulated piston/cylinder initially contains R-22 at 20C, 85% quality, at a cylinder volume of 50 L. A valve at the closed end of the cylinder is connected to a line flowing R-22 at 1 MPa, 60C. The valve is opened, allowing R-22 to flow in, and at the same time the external force on the piston is decreased, and the piston moves. When the valve is closed, the cylinder contents are at 900 kPa, 20C, and a positive work of 50 kJ has been done against the external force. a) What is the final volume of the cylinder? b) Does this process violate the second law of thermodynamics? Answer the question by showing all necessary calculations very clearly. If your answer is yes, comment on what may change to make the process possible. 2. Steam at 400C, 6 MPa enters an insulated turbine with a mass flow rate of 1.5 kg/s and leaves as a saturated mixture at 40C. The steam then enters an insulated flash chamber, which separates the steam into saturated liquid and saturated vapor at the same temperature. If the turbine produces 1200 kW of power, calculate a) The amount of liquid water that will be obtained in one hour, b) The isentropic efficiency of the turbine, c) The rate of entropy generation in the whole process. Show all the states of water involved in the problem on a T-s diagram.