$5\mathrm{.}40$ WP At steady state, a refrigeration cycle operating between hot and cold reservoirs at $300$ K and $275$ K $,$ respectively, removes energy by heat transfer from the cold reservoir at a rate of $600$ kW $.$

a$.$ If the cycle's coefficient of performance is $4,$ determine the power input required, in kW $.$

b$.$ Determine the minimum theoretical power required, in kW $,$ for any such cycle I

refrigerator at steady state.

$5\mathrm{.}40q,$ At steady state, a refrigeration cycle operating between hot and cold reservoirs at $300$ K and $275$ K $,$ respectively, removes energy by heat transfer from the cold reservoir at a rate of $600$ kW $.$

a$.$ If the cycle's coefficient of performance is $4,$ determine the power input required, in kW $.$

b$.$ Determine the minimum theoretical power required, in kW $,$ for any such cycle.