A mass of air is initially at (260^{circ} mathrm{C}) and (700 mathrm{kPa}), and occupies (0.028 mathrm{~m}^{3}). The

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A mass of air is initially at \(260^{\circ} \mathrm{C}\) and \(700 \mathrm{kPa}\), and occupies \(0.028 \mathrm{~m}^{3}\). The air is expanded at constant pressure to \(0.084 \mathrm{~m}^{3}\). A Polytropic process, \(p V^{1.5}=C\), is then carried out followed by a constant temperature process which completes the cycle. All the processes are reversible. Find \((a)\) the heat received and rejected in the cycle, and \((b)\) efficiency of the cycle. Take \(c_{p}=1.005 \mathrm{~kJ} / \mathrm{kg} . K\) and \(c_{v}=0.718 \mathrm{~kJ} / \mathrm{kg}\). \(K\)

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