Problem: At constant pressure, the mean free path (λ) of a gas molecule is directly proportional to temperature (T). At constant temperature, λ {lambda} is inversely proportional to pressure (P). If you compare two different gas molecules at the same temperature and pressure, λ {lambda} is inversely proportional to the square of the diameter (d) of the gas molecules. Put these facts together to create a formula for the mean free path of a gas molecule with a proportionality constant (call it  Rmfp , like the ideal-gas constant).

FREE Expert Solution

at constant P, λ = T

at constant T, λ = 1/P

at same constant P & T, λ = 1/d2


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Problem Details

At constant pressure, the mean free path (λ) of a gas molecule is directly proportional to temperature (T). At constant temperature, λ  is inversely proportional to pressure (P). If you compare two different gas molecules at the same temperature and pressure, λ  is inversely proportional to the square of the diameter (d) of the gas molecules. Put these facts together to create a formula for the mean free path of a gas molecule with a proportionality constant (call it  Rmfp , like the ideal-gas constant).

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