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Q.

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)

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a

64 P

b

32 P

c

P64

d

16 P

answer is C.

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Detailed Solution

For isothermal process P1V1=P2V2⇒    PV=P2(2V) ⇒P2=P2For a adiabatic process P2V2γ=P3V3γ⇒    P2(2V)γ=P3(16V)γ ⇒   P3=321853=P64
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