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A gas is compressed by an external press...

A gas is compressed by an external pressure of 5 atm. The work done in the process is 1034 J. How much volume of the gas is reduced?

Text Solution

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Work done on the gas due to compression,
`w=-P_(ex)DeltaV=-P_(ex)(V_(2)-V_(1))=P_(ex)(V_(1)-V_(2))`
Where `P_(ex)`=external pressure, `V_(1) and V_(2)` are the initial and final volumes of the gas respectively:
As per given data, `w=1034J=(1034)/(101.3)=10.2073L*atm`
and `P_(ex)=5atm` `[because1L*atm=101.3J]`
`therefore 10.2073=5xx(V_(1)-V_(2))" "thereforeV_(1)-V_(2)=2.04L`
`therefore`The decrease in volume of the gas=2.04L.
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