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For an ideal gas $P$-$V$ graph undergoing polytropic process $P{V^m
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Isentropic Process Pv Diagram

Isentropic Flow

(I): Polytropic expansion process with a blowdown effect during

Isothermal process on p-V, T-V, and p-T diagrams

A mathematical derivation of the equations relating the pressure

Isentropic Expansion - Isentropic Compression | nuclear-power.com

For an ideal gas $P$-$V$ graph undergoing polytropic process $P{V^m