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Polytropic Process of an Ideal Gas

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Adiabatic-<strong>Polytropic</strong> (Isentropic) <strong>Process</strong><br />

Denote C p /C v = k, the ratio <strong>of</strong> specific heat capacities <strong>of</strong> the gas.<br />

Then<br />

Integration gives<br />

dp<br />

p<br />

+<br />

k<br />

dV<br />

V<br />

= 0<br />

So<br />

ln(P) + k ln(V) =<br />

ln(const<strong>an</strong>t)<br />

pV<br />

k =<br />

const<strong>an</strong>t

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