A monoatomic gas at a pressure P, having a volume V expands isothermally to a volume 2V and then adiabatically to a volume 16V. The final pressure of the gas is : (take γ=5/3)
A
64P
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B
32P
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C
P64
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D
16P
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Solution
The correct option is DP64 Isothermally PV=P12V P1=P2 Adiabatically, P2(2V)γ=P1(16V)γ Pf=P2(123)53 Pt=P2(123)53=P(2)(2)5 Pf=P6