A monoatomic gas at a pressure P , having a volume V expands isothermally to a volume 2 V and then…

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)
  1. 64 P
  2. 32 P
  3. P/64
  4. 16 P

Solution

Isothermally PV=P12V
P1=P2
Adiabatically
P22Vγ=Pf16Vγ
Pf=P212353
Pf=P212353=P225
Pf=p64 ~

Asked in: NEET 2014

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