(a) A one-ton Carnot refrigerating machine is used to keep a refrigerated space at the temperature of \(-10^{\circ} \mathrm{C}\), while the environment is at \(45^{\circ} \mathrm{C}\). Determine the power consumption of the machine.

(b) If the machine is used to maintain a freezer box at the temperature of \(-20^{\circ} \mathrm{C}\) while the temperature of environment is \(45^{\circ} \mathrm{C}\), then how much cooling effect could it produce?

Assume that the power consumption in both the cases are same.