For adiabatic expansion of perfect monoatomic gas , when voulme increases by 24% ,what is the percentage decrease in pressure ?
A
24%
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B
30%
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C
48%
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D
71%
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Solution
The correct option is D30% In adiabatic process p2Vγ2=p1Vγ1 p2=p1(V1V2)γ p2=(100124)5/3p1 p2=0.6985p1 % decrease in pressure =p1−p2p1×100% =p1−0.6985p1p1×100% =0.3015p1p1×100% =30.15%=30%