An ideal gas within a piston-cylinder assembly undergoes a Carnot refrigeration cycle. The isothermal compression occurs at 325 K from 2 bar to 4 bar. The isothermal expansion occurs at 250 K. Determine: a. the coefficient of performance
b. the heat transfer to the gas during the isothermal expansion, in kj per kmol of gas
c. the magintude of the net work input, in kj per kmol of gas.

a)

b)  

c)  

Explanation:

From the question we are told that:

Initial Temperature

initial Pressure

Final Pressure

iso-thermal expansion

a)

Generally the equation for Coefficient of performance is mathematically given by

b)

Generally the equation for Heat Expansion is mathematically given by

Where

R=Gas constant

Therefore

c)

Generally the equation for work input is mathematically given by

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