All Problems

Equation of the gas state processes

Problem 2.8

Find the pressure of air in a vessel being evacuated as a function of evacuation time \(t .\) The vessel volume is \(V,\) the initial pressure is \(p_{0} .\) The process is assumed to be isothermal, and the evacuation rate equal to \(C\) and independent of pressure.

Note. The evacuation rate is the gas volume being evacuated per unit time, with that volume being measured under the gas pressure attained by that moment.

Reveal Answer
p=p0eCt/Vp=p_{0} \mathrm{e}^{-C t / V}