Problem $3.$ For this problem, use the diagram and tables provided below.

Table $1.$ Properties of the refrigerant HFC$-134$a under saturated conditions $($at its boiling point for each pressure$).$ All values are for $1$ kg of fluid, and are measured relative to an arbitrarily chosen reference state, the saturated liquid at $\backslash (-40^\{\backslash$circ$\}\backslash$mathrm$\{$C$\}\backslash ).($From Schroeder$).$

Table $2.$ Properties of superheated $($gaseous$)$ refrigerant HFC$134$a$.$ All values are for $1$ kg of fluid, and are measured relative to the same reference state as in Table $1.($From Schroeder$).$

Consider a household refrigerator that uses HFC$-134$a as the refrigerant, operating between the pressures of $1\mathrm{.}0$ bar and $10$ bars.

A$.$ The compression stage of the cycle begins with saturated vapor at $1$ bar and ends at $10$ bars. Assuming that the entropy is constant during compression, what is the approximate temperature of the vapor after its compressed? $(8$ points$)$

B$.$ Determine the enthalpy at each of the points $\backslash (1,2,3\backslash ),$ and $4$ and calculate the coefficient of performance $($COP$).(8$ points$)$

C$.$ What fraction of the liquid vaporizes during the throttling step? $(9$ points$)$