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5mol of an ideal gas at 27^(@)C expands ...

`5mol` of an ideal gas at `27^(@)C` expands isothermally and reversibly from a volume of `6L` to `60L`. The work done in `kJ` is

A

`-14.7`

B

`-28.72`

C

`+28.72`

D

`-56.72`

Text Solution

Verified by Experts

The correct Answer is:
B
`w=-2.303nRTlog((V_(2))/(V_(1)))`
`=-2.303xx5xx8.314xx300log((60)/(6))`
`=-28.72kJ`
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Knowledge Check

  • 2 mol of an ideal gas at 27^(@) C expand isothermally and reversibly from a volume of 4L to 40L. The work done (in KJ) by the gas is :-

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

  • 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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