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Two moles of an ideal gas expand isother...

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

Text Solution

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Work done, `w =- n RT ln (V _(2) // V _(1))`
`=-( 2 mol) (0.08206.L atm K ^(-1) mol ^(-1)) (300 K) ln (10 L // 1L)`
`=- 113 . 37 L atm = 111.35 L (8.314 JK ^(-1) mol ^(-1))/( 0.08206 L K ^(-1) mol ^(-1)) =- 1148.2 J`
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