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Q.

An ideal gas is taken through quasi static process described by  P=αV2, with α=5.00atm/m6. The gas is expanded to twice  its original volume of  1m3 how much work is done by the gas in expanding gas in this process?

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a

1.18MJ

b

2.18MJ

c

1.28MJ

d

3.18MJ

answer is A.

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Detailed Solution

W=∫if pdvW=∫if αV2dV=13αVf3−V13∣Vf=2Vi=2(1.00)=2.00m3W=135×1.013×105×[23−13]=1.18MJ
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