All Problems Transport Phenomena
Problem 2.231
An ideal gas consisting of rigid diatomic molecules goes through an adiabatic process. How do the mean free path \(\lambda\) and the number of collisions of each molecule per second \(v\) depend in this process on (a) the volume \(V\); (b) the pressure \(p\); (c) the temperature \(T ?\)
2.231. (a) \(\lambda \propto V, v \propto V^{-6 / 5}\) (b) \(\lambda \propto p^{-5 / 7}, \quad v \propto p^{8 / 7}\) (c) \(\lambda \propto\) \(\propto T^{-5 / 2}, \quad v \propto T^{3}\)