Carnot refrigeration cycle absorbs heat at \(280 \mathrm{~K}\) and rejects heat at \(310 \mathrm{~K}\).

(a) Calculate the coefficient of performance of this refrigeration cycle.

(b) If the cycle is absorbing \(1120 \mathrm{~kJ} / \mathrm{min}\) at \(280 \mathrm{~K}\), how many kJ of work is required per second?

(c) If the Carnot heat pump operates between the same temperatures as the above refrigeration cycle, what is the coefficient of performance?

(d) How many \(\mathrm{kJ} / \mathrm{min}\) will the heat pump deliver at \(310 \mathrm{~K}\) if it absorbs \(1120 \mathrm{~kJ} / \mathrm{min}\) at \(280 \mathrm{~K}\).