A large auditorium is desired to be maintained at (20^{circ} mathrm{C}) in both summer and winter seasons.

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A large auditorium is desired to be maintained at \(20^{\circ} \mathrm{C}\) in both summer and winter seasons. In winter, the temperature of the environment is \(4^{\circ} \mathrm{C}\) while the same in summer is \(38^{\circ} \mathrm{C}\). The energy loss through the barrier walls of the auditorium exposed to the atmosphere is at the rate of \(22 \mathrm{~kJ} / \mathrm{s}\). If the same system is used as a refrigerator in summer and as a heat pump in winter, determine the power requirement to maintain the auditorium at \(20^{\circ} \mathrm{C}\) in summer as well as in winter.

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