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An ideal diatomic gas undergoes a polytr...

An ideal diatomic gas undergoes a polytropic process governed by the equation `P prop V^(n)` in which it absorbs 100 J heat and performs 25 J work. What is the value of `(4)/(n)`.

Text Solution

Verified by Experts

The correct Answer is:
`20.00`
`DeltaQ=DeltaU + DeltaW`
`DeltaU=75J`
`DeltaU=(5)/(6)RT`
`DeltaW=(5)/(6)RT`
`(R )/(1-n)=(5)/(6)R`
`6=5-5n`
`n=(1)/(5)`
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