All Problems

Kinetic theory of gases. Boltzmanns Law and Maxwell distribution

Problem 2.67

Determine the ratio of the sonic velocity \(v\) in a gas to the root mean square velocity of molecules of this gas, if the molecules are (a) monatomic; (b) rigid diatomic.

Reveal Answer
v/vsq=(i+2)/3i; (a) 0.75; (b) 0.68v / v_{s q}=\sqrt{(i+2) / 3 i} ; \quad \text { (a) } 0.75 ; \text { (b) } 0.68