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Initial volume of a gas, condined in a c...

Initial volume of a gas, condined in a cylinder fitted with a piston is 11.2 L. the final volume of the gas becomes 33.6L after expansion againsta expansion if the gas absorbs 1 kJ of heat from the surrounding then what will be the change in internal energy of that gas?

Text Solution

Verified by Experts

Work done, `w=-P_(ex)(V_(2)-V_(1))`
Given: `P_(ex)=2atm,V_(1)=11.2L and V_(2)=33.6L`
`therefore w=-2(33.6-11.2)=44.8L*atm=44.8xx101.3`
`=-4538.25J" "[because 1L*atm=101.3J]`
So, amount of work done by the gas is 4538.24J.
again, the heat (q) absorbed by the gas=1kJ=1000J
Therefore, the change in internal energy of the gas,
`DeltaU=q+w=(1000-4538.24)J=-3438.24J`
Therefore, the decrease in internal energy is 3528.24J.
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