A mass of air is initially at $260^{\circ} \mathrm{C}$ and 700 kPa , and occupies $0028 \mathrm{~m}^{3}$. The air is expanded at constant pressure to $0.084 \mathrm{~m}^{3}$. A polytropic process with $\mathrm{n}=1.50$ is then carried out, followed by a constant temperature process which completes a cycle. All the processes are reversible. (a) Sketch the cycle in the $p-v$ and $T$-s planes. (b) Find the heat received and heat rejected in the cycle. (c) Find the efficiency of the cycle.

Explanation

The cycle can be sketched in the p-v and T-s planes. The heat received and rejected in the cycle can be calculated using the first law of thermodynamics. The efficiency of the cycle can be calculated using the heat received and rejected in the cycle.


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