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A 2.5 mol sample of an ideal gas is comp...

A 2.5 mol sample of an ideal gas is compressed in reversible isothermal process from a volume of 12L to a volume of 5 L at `27^(@)C`. Calculate the work done on the gas.

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In a reversible isothermal compression of an ideal gas, the work done on the gas, `w=-nRT"ln"(V_(2))/(V_(1))["where "V_(2)ltV_(1)]`
Given: `n=2.5,T=(273+27)=300K,V_(1)=12L,V_(2)=5L`
`therefore w=-2.5xx8.314xx300"ln"(5)/(12)=5458.98J`
`therefore`work done on the gas=5458.98 J.
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