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One mole of an ideal gas expands against...

One mole of an ideal gas expands against a constant external pressure of 1 atm from a volume of 10 litres to 30 litres. Calculate the work done by the gas.

Text Solution

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Work done in reversible is othermal expansion
`w =- int _(v _(1)) ^(v _(2)) P dV = - P ( V _(2) - V _(1)) =- (1 atm ) ( 30 L - 10L) = - 20 L atm`
Work done `= 20 L xx 10 1 . 325 j = 2026. 5 J " "[because ] L -atm = 101.325]`
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