Textbook Problem: $9-183($Answers provided, must include assumptions, schematic and work to get answers!$)$

A heat pump that operates on the ideal vapor$-$compression cycle with R$-134$a is used to

heat a house. The mass flow rate of the refrigerant is $0\mathrm{.}25$ kg$/$s$.$ The condenser and

evaporator pressures are $1400$ and $320$ kPa, respectively. Determine $($a$)$ the rate of heat

supply to the house, $($b$)$ the volume flow rate of the refrigerant at the compressor inlet,

$($c$)$ the COP, and $($d$)$ draw a T$-$s diagram. $($Ans$.($a$)$ QH $=-38\mathrm{.}8$ kW$,($b$)$ V $=0\mathrm{.}0159$ m$3/$s$,$

and $($c$)$ COP $=5\mathrm{.}1)$