A sample of gas with γ = 1 . 5 is taken through an adiabatic process in which the volume is compressed…

A sample of gas with γ=1.5 is taken through an adiabatic process in which the volume is compressed from 1200 cm3 to 300 cm3. If the initial pressure is 200 kPa. The absolute value of the workdone by the gas in the process =________ J.

Solution

Vi=1200×10-6 m3, Pi=200 KPa
Vf=300×10-6 m3, Pf=?
γ=1.5
PiViγ=PfVfγ
200×1031200×10-6300×10-6γ=Pf
Pf=200×103×43/2
=200×103×8
=1600×103=16×105 Pa
 W=PiVi-PfVfγ-1
 W=2×105×1200×10-6-16×105×300×10-61.5-1=240-4800.5=-240×2=-480 J|W|=480 J

Asked in: JEE Main 2021 (31 Aug Shift 2)

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