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In an adiabatic expansion of the air ...

In an adiabatic expansion of the air the volume is increased by `4%` what is pereentage change in pressure ? (For air y = 1.4)

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Volume v is increased by 4%
`i.e, (Delta V)/(V ) xx 100 = 4% : gamma = 1.4 `
Adiabatic expression PV = constant
`(Delta P )/( P ) + (Delta V)/(V ) = 0`
`(Delta P )/(P ) = - gamma .(Delta V)/(V )`
`:. , (Delta P )/(P ) = - 1.4 xx 4 = 5.6 %`
Pressure is decreased by 5.6 %
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