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An ideal gas is heated at constant press...

An ideal gas is heated at constant pressure and absorbs amount of heat Q. if the adiabatic exponent is `gamma`. Then find the fraction of heat absorbed in raising the internal energy and perofrming the work is.

A

`1-(1)/(gamma)`

B

`1+(1)/(gamma)`

C

`1-(2)/(gamma)`

D

`1+(2)/(7)`

Text Solution

Verified by Experts

The correct Answer is:
a
Heat absorbed by the syste at contant pressure `Q-nC_(p)DeltaT` and change in internal energy
`DeltaU=nC_(v)DeltaT`
`W=Q-DeltaU`
Fraction `=(W)/(Q)=(Q-DeltaU)/(Q)=1-(deltaU)/(Q)`
`=1-(DeltaU)/(Q)=(1-(1)/(gamma))`
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Knowledge Check

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