A heat pump is used to heat a house in winter. The house is required to remain at a constant temperature of $25$C$.$

It is estimated that $55000$ kJ$/$h of heat is lost from the house when the outside temperature is $-5$C$.$ Operation of the heat pump

Minimum power for $($a$)$ withdrawal of heat from the external environment at $-5$C$,($b$)$ extraction of heat from well water at $12$C

Calculate in this case.