How does the mean free path `lamda` 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 ?

How does the mean free path `lamda` and the number of collisions of ea

1.	How does the mean free path `lamda` 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 ?
Answer» (a) `lamda = (1)/(sqrt(2) pi d^2 n)` `d` is a constant and `n` is a constant for an isochoric process so `lamda` is constant for an isochoric process. `v = (lt v gt)/(lamda) = (sqrt(8 RT)/(M pi))/(lamda) alpha sqrt(T)` (b) `lamda = (1)/(sqrt(2) pi d^2)(kT)/(p) alpha T` for an isobaric process. `v = (lt v gt)/(lamda) alpha (sqrt(T))/(T) = (1)/(sqrt(T))` for an isobaric process.

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How does the mean free path `lamda` 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 ?

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