Compare with the help of T-S diagram, the vapour compression cycle and Carnot refrigeration cycle

Question

A saturated vapour compression refrigeration system is extracting heat from a thermal reservoir at –10⁰C and rejecting het to another thermal reservoir t 36⁰C. The saturation temperature of evaporator is –20⁰C and that condenser is 46⁰C. The mass flow rate of refrigerant (R-134a) is 0.1 kg/s. Assume environment temperature equal to 36⁰C. Find :

1. Refrigerating capacity in Tons
2. Power input in kW
3. COP
4. COP of Carnot refrigeration cycle
5. Second law efficiency of the cycle.

Compare with the help of T-S diagram, the vapour compression cycle and Carnot refrigeration cycle and show the deviation between the two cycles by shaded areas.

Properties of refrigerant (Saturated)

Temp (0C)	Saturation Pressure (MPa)	Enthalpy Sat liquid hf	(kJ/kg) Sat Vapour hg	Entropy Sat Liquid sf	(kJ/kg-K) Sat Vapour sg
–20 –10 36 46	0.13273 0.20060 0.91185 1.1903	173.64 186.70 250.48 265.47	386.55 392.66 417.65 421.92	0.9002 0.9506 1.1717 1.2186	1.7413 1.7334 1.7124 1.7089
Super heated		Pressure (MPa)	hg (kJ/kg)	sg (kJ/kg-K)
		1 1.2	428.91 436.12	1.7413 1.7413