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  4. In an adiabatic process relation of relative change in pressure (Δ P/P) with relative change m volume (Δ P/V) is:

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Q. In an adiabatic process relation of relative change in pressure $ \frac{\Delta P}{P} $ with relative change m volume $ \frac{\Delta P}{V} $ is:

Rajasthan PMTRajasthan PMT 1995

Solution:

For adiabatic process $ \frac{\Delta P}{-\left( \frac{\Delta V}{V} \right)}=\gamma P $ $ \therefore $ $ \frac{\Delta P}{P}=-\gamma \left( \frac{\Delta V}{V} \right) $