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Grade 11Discuss with colleagues and IITians

a sample of an ideal gas is expanded from 1 m cube to 3 M cube in a reversible process for which P is equal to K V square with K is equal to 6 bar/m^6 what is the work done by the gas

Profile image of Omik Santosh Shikhare
8 Years agoGrade 11
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1 Answer

Profile image of Arun
6 Years ago
∫dW = - ∫pdV
 
W rev = -∫ 6V^2dV
 
          = - 6[V2^3/3 - V1^3/3]
 
          = - 6[3^3 / 3 - 1^3/3]
 
          = - 52.02 barm^3
 
          = - 5200 KJ
 
Thus the work done by the gas is - 5200 KJ.

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