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A 5 mol sample of an ideal gas is compre...

A 5 mol sample of an ideal gas is compressed isothermally and irreversible from 1.5 atm to 15 atm at `27^(@)C`. Calculate the work done on the gas in calorie unit.

Text Solution

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Work done in an isothermal irreversible expansion,
`w=-nRT(1-(P_(2))/(P_(1)))`
As per given data, `n=5,P_(1)=1.5atm,P_(2)=15 atm`,
`T=(273+27)K=300K`
`therefore w=-5xx1.986xx300xx(1-(15)/(1.5))=26824.5cal`.
`therefore`The work done on the gas=26.82 kcal.
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