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

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 `Delta U` of the gas in joules will be:

A

`+505 J`

B

` 1136.25 J`

C

`-500 J`

D

`-505 J`

Text Solution

Verified by Experts

The correct Answer is:
D
`DeltaU= q+w`
For adiabatic process, q=0
`:. DeltaU= W=- P.DeltaV`
`= -2.5 "atm" xx (4.5-2.5)L`
`= -2.5 xx 2.1 atm implies -5 xx 101.3 J`
`= -506.5J implies -505 J`
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