A drafty house loses $25,000$J of heat each second

$(25000$W$)$ on very cold days. However, a heat pump is

used to keep it warm! On a cold day, it is $-20$oF outside

but a toasty $75$oF inside. You want to maintain this

comfortable temperature in the house.

a$)$ How much power will a $70\%$ efficient space heater

consume keeping your house warm?

b$)$ How much power will a heat pump with a COP $=4\mathrm{.}2$

consume doing the same thing?