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Transport Phenomena

Problem 2.231

An ideal gas consisting of rigid diatomic molecules goes through an adiabatic process. How do the mean free path λ\lambda and the number of collisions of each molecule per second vv depend in this process on (a) the volume VV; (b) the pressure pp; (c) the temperature T?T ?

Reveal Answer
2.231. (a) λ∝V,v∝V−6/5\lambda \propto V, v \propto V^{-6 / 5} (b) λ∝p−5/7,v∝p8/7\lambda \propto p^{-5 / 7}, \quad v \propto p^{8 / 7} (c) λ∝\lambda \propto ∝T−5/2,v∝T3\propto T^{-5 / 2}, \quad v \propto T^{3}
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