refrigeration process operates using the vapor$-$compression cycle, using a

proprietary refrigerant that the inventor claims is better than R$-422$A$.$ At low pressures, the

refrigerant can be assumed to act as an ideal gas with constant CV $=14$R and reportedly has a

molecular weight of $400$ g$/$mol$.$ The steady$-$state refrigeration cycle reportedly works as follows:

$$ A boiler produces saturated vapor at P $=0\mathrm{.}02$ MPa and T $=5\backslash$deg C$,$ which has H $=50$ kJ$/$mol$.$

$$ The vapor is compressed to P $=0\mathrm{.}06$ MPa and T $=50\backslash$deg C$.$

$$ The vapor is then condensed to saturated liquid at P $=0\mathrm{.}06$ MPa, which has H $=20$ kJ$/$mol$.$

$$ The liquid undergoes an isenthalpic $($constant enthalpy$)$ expansion to P $=0\mathrm{.}02$ MPa, and

enters the boiler.

A$)$ What is the efficiency of the compressor?

B$)$ If we wished to scale the process described above so that it provides $3000$ kJ$/$min of cooling,

what is the required flow rate of refrigerant in kg$/$min$?$

C$)$ What is the coefficient of performance of the refrigeration cycle?

Answers: A$.0\mathrm{.}469$; B$.40$ kg$/$min; C$.5\mathrm{.}35$