Carbon Dioxide (CO2) as an ideal gas performs a Carnot refrigeration cycle in a piston-cylinder combination while operating between thermal...

Carbon Dioxide (CO2) as an ideal gas performs a Carnot refrigeration cycle in a piston-cylinder combination while operating between thermal reservoirs at 47 and -20 degrees Celsius. The pressures at the initial and final states of there isothermal compression are 1500 and 4300 kPa, respectively. The specific heat ratio is k = 1.29 and R = 0.189 kJ/kg-K. Determine (a) the work and heat transfer for each of the four processes, in kJ/kg; (b) the thermal efficiency or coefficient of performance; and (c) the pressures at the initial and final states of the adiabatic compression, in kPa.

(Answer: W12= -44.9 kj/kg, Q12=0 kj/kg, W23= -63.7 kj/kg, Q23= -63.7 kj/kg, W34= 45 kj/kg, Q34= 0 kj/kg, W41= 50 kj/kg, Q41= 50 kj/kg, cop= 3.6, p1=500 kpa, 1500 kpa)