Problem $1(3$ pts$.)$:

An EDGE computing system uses a regular vapor$-$compression $($VC$)$ refrigeration system for cooling its computational racks and the ambient $($i$.$e$.,$ the surrounding air$)$ temperature can reach a high of $\backslash (37^\{\backslash$circ$\}\backslash$mathrm$\{$C$\}\backslash ).$ A VC refrigeration system has a compressor, condenser, expansion$/$throttle valve and evaporator. At the exit of the condenser, the refrigerant is typically in a liquid state $($assumed to be saturated$),$ and prior to entering the evaporator, the refrigerant passes through the throttle valve to enable efficient heat transfer in the evaporator. Air enters the air$-$side of the evaporator heat exchanger at $\backslash (40^\{\backslash$circ$\}\backslash$mathrm$\{$C$\}\backslash )$ and a pressure of $110$ kPa and exits at $\backslash (25^\{\backslash$circ$\}\backslash$mathrm$\{$C$\}\backslash )$ and a pressure of $105$ kPa $,$ all with a flow rate of $\backslash (2\backslash$mathrm$\{$~kg$\}/\backslash$mathrm$\{$s$\}\backslash ).$ The VC system refrigerant, R$-134$a$,$ enters the refrigerant$-$side of the heat exchanger as a mixture $($quality $\backslash (\backslash$approx $0\mathrm{.}2\backslash ))$ at $\backslash (10^\{\backslash$circ$\}\backslash$mathrm$\{$C$\}\backslash )$ and exits as a saturated vapor. At the evaporator outlet, the compressor "pumps" the vapor to a pressure of $1\mathrm{.}0164$ MPa and a temperature of $\backslash (43^\{\backslash$circ$\}\backslash$mathrm$\{$C$\}\backslash ),$ before it enters the condenser heat exchanger. If air can be assumed to be dry, the heat transfer only occurs between the refrigerant and air through the heat exchanger material $($negligible heat capacity$),$ and the compressor is adiabatic, answer the following:

$($a$)$ Sketch the VC system $($all components$),$ label the various states, and show the direction of refrigerant flow using arrows.

$($b$)$ What is the pressure and temperature of R$-134$a at the inlet to the throttle valve $($SI units$)?$

$($c$)$ What is the volumetric flow rate of air in $\backslash (\backslash$mathrm$\{$L$\}/\backslash$mathrm$\{$min$\}\backslash )$ and $"$CFM$"$

$($d$)$ What the mass flow rate of R$-134$a in $\backslash (\backslash$mathrm$\{$kg$\}/\backslash$mathrm$\{$s$\}\backslash )?$

$($e$)$ What is the energy transfer from R$-134$a to air $($in the heat exchanger$)$ in kW $?$

$($f$)$ What is the nominal COP of this VC refrigeration system?