All Problems

Transport Phenomena

Problem 2.230

As a result of some process the pressure of an ideal gas increases \(n\) -fold. How many times have the mean free path \(\lambda\) and the number of collisions of each molecule per unit time \(v\) changed and how, if the process is (a) isochoric; (b) isothermal?

Reveal Answer
2.230. (a) \(\lambda=\) const, \(v\) increases \(\sqrt{n}\) times; (b) \(\lambda\) decreases \(n\) times, \(v\) increases \(n\) times.