Question

Find an analytic expression for p(V)p(V)p(V), the pressure as a function of volume, during the adiabatic expansion.

Answer 1

In an adiabatic process we have

pV γ = const..

This explains that the pressure is a function of volume, p ( V ) ,

So can be written as:

p ( V ) × V γ = p 0 V γ 0 ,

or p ( V ) = p 0 V 0 / V γ

= p 0 V 0 / V ^(7 / 5)