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QJEEM21Ph8963: JEE Main 2021 Physics - Class 11 JEEM21Ph8963 Solution: A sample of gas with = 1.5 is taken through an adiabatic…

A sample of gas with γ\gamma = 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.

Step-by-Step Verified Solution

v = 1.5

p1v1v = p2v2v

(200) (1200)1.5 = P2 (300)1.5

P2 = 200 [4]3/2 = 1600 kPa

∣W.D.∣=p2v2−p1v1v−1=(480−2400.5)=480\left| {W.D.} \right| = {{{p_2}{v_2} - {p_1}{v_1}} \over {v - 1}} = \left( {{{480 - 240} \over {0.5}}} \right) = 480 J

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