Show me the steps to solve including using the property table.

The interior space of a building in winter is to be heated by a heat pump to maintain the internal temperature at $22\mathrm{.}0$C$.$ The $55\mathrm{.}0$ kW building heat load will be provided by a heat pump that

absorbs heat from a geothermal water source at $18\mathrm{.}0$C$.$ The water from the geothermal water

source enters the evaporator heat exchanger at $18\mathrm{.}0$C and exits at $11\mathrm{.}0$C$.$ The heat pump utilises

refrigerant R$-134$a as the working fluid and operates with a discharge pressure of $1\mathrm{.}40$ MPa and a

suction pressure of $320$ kPa. Modelling the heat pump cycle as an actual vapour compression

cycle $($AVCC$),$ with an evaporator exit temperature of $10\mathrm{.}0$C and condenser entry and exit

temperatures of $80\mathrm{.}0$C and $30\mathrm{.}0$C respectively, answer the following:

$1.$ What is the COP of this AVCC system?

$2.$ Determine the mass flowrate of refrigerant $($in kg$/$s$).$

$3.$ Find the required volumetric flowrate of water from the geothermal source $($in L$/$min$)$

$4.$ Determine the isentropic efficiency of the compressor $($assume the compressor to be

adiabatic$).$

$5.$ If an ideal Carnot heat pump replaced the heat pump analysed in parts $1$ to $4$ of this

question, what would be the required power input for the Carnot heat pump? $($Assume the

heat load is still $55\mathrm{.}0$ kW$).$