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.

Options

A. `1-(1)/(gamma)`
B. `1+(1)/(gamma)`
C. `1-(2)/(gamma)`
D. `1+(2)/(7)`

Answer

a

Explanation

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))`