1.

Solve Problem 35.4 assuming that the process is adiabatic.

Answer»


Solution :For an ADIABATIC process we MUST make use of the Poisson equation, and of the APPROXIMATIONS ( for `xltltd` )
`(dgamma)/((d//x)^(gamma))=(1+(x)/(d))^(gamma)~~1-(gammax)/(d),(d^(gamma))/((d-x)^(gamma))=(1-(x)/(d))^(gamma)~~1+(gammax)/(d)`
For the force we obtain
`F=(p_(1)-p_(2))S=[(PD^(gamma))/((d-x)^(gamma))-(pd^(gamma))/((d+x)^(gamma))]S~~(2gammapSx)/(d)=(2gammapVx)/(d^(2))`
i.e. `F_(ad)=gammaF_("isot")`.


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