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A gas is allowed to expand in a well ins...

A gas is allowed to expand in a well insulated container against a constant external pressure of 2.5 atm from an initial volume of 2.50 L to a final volume of 4.50 L. the change in internal energy `DeltaU` of the gas in joules will be-

A

`-500J`

B

`-505J`

C

`+505J`

D

`1136.25J`

Text Solution

Verified by Experts

The correct Answer is:
B
Work done of irreversible process,
`w=-P_(ex)DeltaV=-2.5(4.5-2.5)=-5L*atm`
`=-(5xx101.3)J=-506.5J`
Since, it is an insulated system, q=0.
From the first law of thermodynamics
`DeltaU=q+w`
or, `DeltaU=0-506.5J=-506.5J`.
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