An ideal free piston-cylinder with an initial volume of 0.5500 m contains 19.00 kg of refrigerant R-134a at an initial pressure of 400.0 kPa. The device is filled with R134a from a source at 40.00C and 1.000 MPa until there is 800.0 kg of saturated liquid refrigerant R134a in the piston-cylinder device. The tank is well insulated, and no heat transfer to the ambient air at 30.00C occurs during the process. During the charging process, a refrigerator with COPR = 1.900 extracts heat from the refrigerant R-134a in the piston-cylinder device such that the charging process occurs in an isothermal manner (constant temperature). i) Determine the initial state and temperature of the R-134a (in C). ii) Determine the boundary work done during the process (in kJ). iii) Determine the amount of energy (in kJ) and the cost (in $) the refrigerator consumes to maintain the process to be isothermal. Assume electrical energy costs $0.35/kW.hr. iv) It is claimed that a refrigerator could supply the required cooling using only $1.05 worth of electricity. Evaluate if this claim violates the second law of thermodynamics by considering if an ideal (perfectly reversible) Carnot refrigerator was used. v) Show the charging process on T-v and P-v diagrams.