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6 moles of an ideal gas expand isotherma...

`6` moles of an ideal gas expand isothermally and reversibly from a volume of `1` litre to a volume of `10` litres at `27^(@)C`. What is the maximum work done.

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`W = -2.303 nRT "log"(V_(2))/(V_(1)) = -2.303 xx 6 xx 8.314 xx 300 "log" (10)/(1) = - 34464.8 "Joule" = 34.465 kJ`
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Knowledge Check

  • 6mole of an ideal gas expand isothermally and reversibly from a volume of 1 litre to a volume of 10 litre at 27° C .The maximum work is done

    A
    47kJ
    B
    100kJ
    C
    0
    D
    34.46kJ

  • 2 mole of an ideal gas at 27^(@)C expands isothermally and reversibly from a volume of 4 litre to 40 litre. The work done (in kJ) by the gas is :

    A
    `w = - 28.72kJ`
    B
    `w = - 11.488 kJ`
    C
    `w = - 5.736 kJ`
    D
    `w = - 4.988 kJ`

  • If x mole of ideal gas at 27^(@)C expands isothermally and reversibly from a volume of y to 10 y, then the work done is

    A
    `w = x R 300 In y`
    B
    `w = -300 x R In y/10y`
    C
    `w = - 300 x R ln 10`
    D
    `w = 100 x R In 1/y`

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