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5 mole of an ideal gas expand isothermal...

5 mole of an ideal gas expand isothermally and irreversibly from a pressure of 10 atm to 1 atm against a constant external
pressure of 2 atm. `w_(irr)` at 300 K is :

Text Solution

Verified by Experts

`int dW = -int P_("ext")dv`
`W_("irr") = -P_("ext")[V_(2)-V_(1)] = -P_("ext")((nRT)/(P_(2))-(nRT)/(P_(1))) = -P_("ext") xx nRT((1)/(P_(2))-(1)/(1P_(1)))`
`= -1 xx 1 xx .082 xx 300 ((1)/(2)-(1)/(5)) = -1 xx .082 xx 300 xx (3)/(10) = -7.38 L. atm = -747.8 J`
`W_("irr") = -0.7478 KJ`
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Knowledge Check

  • The work done during the expanision of a gas from a volume of 4 dm^(3) to 6 dm^(3) against a constant external pressure of 3 atm is (1 L atm = 101.32 J)

    A
    `-6J`
    B
    `-608J`
    C
    `+304J`
    D
    `-304J`

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