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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

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

Grade:11

1 Answers

Arun
25750 Points
3 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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