Question $3.(30$ points$)$ Consder an ideal heat pump that has a condenser pressure of $1000$ kPa and an evaporator presure

of $100$ kPa.

a$)$ Write the state of the fluid and the values of the thermodynamic properties P$,$ H$,$ and S at each stage

b$)$ Determine the coefficient of performance of this heat pump for the working fluid tetrafluoroethane $($HFC$-134$a$)$

c$)$ Show the cycle by indicating the points and their values on the given $PH$ diagram.