All Problems

Transport Phenomena

Problem 2.229

How does the mean free path \(\lambda\) and the number of collisions of each molecule per unit time \(v\) depend on the absolute temperature of an ideal gas undergoing (a) an isochoric process; (b) an isobaric process?

Reveal Answer
 (a) λ= const, vT;(b)λT,v1/T . \text { (a) } \lambda=\text { const, } v \propto \sqrt{T} ;(b) \lambda \propto T, v \propto 1 / \sqrt{T} \text { . }