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The efficiency of a Diesel engine only relies on the expansion and compression ratios. i) Show that the efficiency of this engine is \eta=\mathbf{1}-\frac{1}{\gamma} \cdot \frac{1 / r_{e}^{\gamma}-1 / r_{c}^{\gamma}}{1 / r_{e}-1 / r_{e}} ii) Treat air as an ideal rigid diatomic gas and evaluate when re =5 and re=15. iii) Explain why a Diesel engine is less efficient than a Carnot engine.

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