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1 mole of CO(2) gas at 300K is expanded...

`1` mole of `CO_(2)` gas at `300K` is expanded under reversible adiabatic condition such that its volume becomes `27` times.
(a) What is the final temperature ? , (b) What is work done ?

Text Solution

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(a) `T_(1)V_(1)^(gamma-1)=T_(2)V_(2)^(gamma-1)`
`300xxV^(1//3)=T_(1)xx(27 V)^(1//3) rArrT_(2)=100K`
(b) `Delta E=q+W`
For reversible adiabatic process,
`q=0`
`Delta U=W`
`rArr W=nC_(v)Delta T`
`rArr W=1xx25.08xx(100-300)= -5.016 KJ`
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