AIPMT | 2014ThermodynamicsHard
Question
A monoatomic gas at a pressure P, having a volume V expands isothermally to a volume 2 V and then adiabatically to a volume 16 V. The final pressure ofthe gas is (take γ = 
)
)Options
A.64 P
B.32 P
C.
D.16 P
Solution
Step - 1 Isothermal Expansion
PV = P22V ⇒ P2 =
Step - 2 Adiabatic Expansion
P2V2γ = P3V3γ
⇒(2V)5/3 = P3(16V)5/3
⇒ P3 =
PV = P22V ⇒ P2 =
Step - 2 Adiabatic Expansion
P2V2γ = P3V3γ
⇒
(2V)5/3 = P3(16V)5/3⇒ P3 =
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