Two kilograms of water execute a Carnot power cycle inside a piston-cylinder device. During isothermal expansion, water is heated from an initial state where its pressure is 40 bar and the quality is 15% (state 1) until its state is saturated vapor (state 2). The saturated vapor then expands adiabatically to a pressure of 1.5 bar (state 3) while 491.5 kJ/kg of work output is produced. Water is then isothermally compressed at 1.5 bar to state 4 and then via adiabatic compression back to state 1.
(a) Determine the heat transfer (kJ) and work (kJ) for each process.
(b) What is the thermal efficiency of this cycle?
(c) Show all the processes of the cycle on a P-v diagram.