A reversible air$-$conditioner $($AC$)$ removes $1000$ kJ$/$s of heat from a room maintained at

$25\backslash$deg C$.$ The air$-$conditioner rejects the heat to the environment at $40\backslash$deg C$.$ The air$-$conditioner is

driven by a reversible heat engine which receives heat from a reservoir at $200\backslash$deg C and rejects

the heat to the environment kept at the same temperature of $40\backslash$deg C$.$

$($i$)$ Give the schematic diagram for the arrangement. $[2]$

Determine the following.

$($ii$)$ Input power to the AC$.[3]$

$($iii$)$ Heat received by heat engine from the reservoir. $[3]$

$($iv$)$ Efficiency of the heat engine. $[$