A refrigerator has a coefficient of performance $($cop$)$ of $3,00.$ The ice tray compartment is at $-20C,$ and the room temperature is $22C.$ The refrigerator can convert $30\mathrm{.}0$ g of water at $22\mathrm{.}0C$ to $30\mathrm{.}09$ of ice at $-20\mathrm{.}0C$ each minute The latent heat of fusion of water is $3\mathrm{.}33{10}^5$ JI$!$ the specific heats of water and ice are $4186$ and $209051kgK$ respectively. What input power is required give your answer in watts $[20]$