All Problems

Equation of the gas state processes

Problem 2.12

Find the minimum attainable pressure of ideal gas in the process \(T=T_{0}+\alpha V^{2},\) where \(T_{0}\) and \(\alpha\) are positive constants, and \(V\) is the volume of one mole of gas. Draw the approximate \(p\) vs \(V\) plot of this process.

Reveal Answer
pmin=2RαT0p_{\min }=2 R \sqrt{\alpha T_{0}}