Please solve with as much detail as possible for each state.

H$6\mathrm{.}3$ Consider a Carnot cycle heat pump with R$134$a as the working fluid. Heat is transferred to the refrigerant at

$0^($@$)$C$.$ Heat is rejected from the refrigerant at $40^($@$)$C$,$ during which the refrigerant changes from saturated vapor

$($state $3)$ to saturated liquid $($state $4).$ Determine:

a$.$ quality at the beginning $($state $1)$ and end $($state $2)$ of the isothermal heat addition process

b$.$ heat addition at low temperature, heat rejection at high temperature $[$kJ$//$kg$]$

c$.$ net work input of cycle $[$kJ$//$kg $]$

d$.$ coefficient of performance of cycle