$5\mathrm{.}44q,$ A heat pump cycle is used to maintain the interior of a building at $21C.$ At steady state, the heat pump receives energy by heat transfer from well water at $9C$ and discharges energy by heat transfer to the building at a rate of $120,000k\frac{J}{h}.$ Over a period of $14$ days, an electric meter records that $1490kW*h$ of electricity is provided to the heat pump. Determine

a$.$ the amount of energy that the heat pump receives over the $14-$day period from the well water by heat transfer, in kJ$.$

b$.$ the heat pump's coefficient of performance.

c$.$ the coefficient of performance of a reversible heat pump cycle operating between hot and cold reservoirs at $21C$ and $9C.$