$3.(\backslash (\backslash$mathbf$\{30\}\backslash )$ points$)$ Refrigerant R$-134$a flows at $\backslash (0\mathrm{.}15\backslash$mathrm$\{$~kg$\}/\backslash$mathrm$\{$s$\}\backslash )$ and enters a compressor as a saturated vapor at a temperature of $\backslash (-8^\{\backslash$circ$\}\backslash$mathrm$\{$C$\}\backslash )($state $1).$ The refrigerant undergoes the following cyclic operation:

$\backslash (1\backslash$rightarrow $2\backslash )$ : Compression to a pressure of $700$ kPa and a temperature of $\backslash (45^\{\backslash$circ$\}\backslash$mathrm$\{$C$\}\backslash )$

$\backslash (2\backslash$rightarrow $3\backslash )$ : Constant pressure heat rejection to a saturated liquid

$\backslash (3\backslash$rightarrow $4\backslash )$ : Constant enthalpy expansion to the initial pressure

$\backslash (4\backslash$rightarrow $1\backslash )$ : Constant pressure heat addition to the initial state

$($a$)(10$ points, $0\mathrm{.}5$ points each$)$ Determine the pressure, temperature, specific enthalpy, specific entropy and quality at each state in the cycle. Fill the values out in the table below, or make a table similar to it$.$ NOTE: You will need to do some interpolations here.

$($b$)(\backslash (\backslash$mathbf$\{5\}\backslash )$ points$)$ If this cycle is used to cool a space for air conditioning, calculate the cycle's COP.

$($c$)(5$ points$)$ Sketch the cycle on a temperature$-$entropy diagram with respect to saturation lines.

$($d$)(10$ points$)$ Determine the entropy generation rate in the compressor, and its corresponding isentropic efficiency.