An air$-$conditioning system is set to remove heat from a house at a rate of $32$ kJ$/$s to keep the indoor temperature constant at $20$C on a day that the outdoor temperature is $40$C$.$ The minimum power required to operate this air$-$conditioning system, in kW$,$ is:

$32$

$1\mathrm{.}64$

$14\mathrm{.}65$

$16$

$2\mathrm{.}18$

&

Which statements are correct regarding the Carnot cycle?

I: The Carnot cycle is made up of five reversible processes

II: The Carnot cycle can be executed in a steady flow system $($control volume$)$

III: The supply heat is delivered to an isothermal process at the same temperature of the sink

IV: The Carnot cycle can be reversed

V: The Carnot cycle is the most efficient cycle operating between two specified temperature limits

III and V

Only I

Only V

IV and V

II$,$ IV$,$ and V

$($please solve both parts without the use of AI$)$