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Polytropic Process of an Ideal Gas

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<strong>Polytropic</strong> <strong>Process</strong> <strong>of</strong> <strong>an</strong> <strong>Ideal</strong> <strong>Gas</strong><br />

• The relationship between the pressure <strong>an</strong>d volume during<br />

compression or exp<strong>an</strong>sion <strong>of</strong> <strong>an</strong> ideal gas c<strong>an</strong> be described<br />

<strong>an</strong>alytically. One form <strong>of</strong> this relationship is given by the<br />

equation<br />

pV<br />

n =<br />

const<strong>an</strong>t<br />

• where n is a const<strong>an</strong>t for the particular process.<br />

• A thermodynamic process described by the above equation is<br />

called a <strong>Polytropic</strong> process.<br />

• For a <strong>Polytropic</strong> process between two states 1-2<br />

n n<br />

p1 V1<br />

= p2V2<br />

=<br />

const<strong>an</strong>t

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