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The power stroke in an internal combustion engine can be approximated with a polytropic expansion. Consider air in a cylinder volume of 0.2 L at 7 MPa, 1800 K. It now expands in a reversible polytropic process with exponent, n = 1.5, through a volume ratio of 8:1. Show this process on P–v and T– s diagrams, and calculate the work and heat transfer for the process. 

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C.V. Air of constant mass m2 = m1 = m.

Energy Eq  m(u2 − u1) = 1Q2 1W2 

n = 1.5, k = 1.4 n > k 

Work from the process expressed 

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