Problem: You may want to reference (Pages 416 - 419) Section 10.8 while completing this problem.At constant pressure, the mean free path (λ) of a gas molecule is directly proportional to temperature. At constant temperature, λ is inversely proportional to pressure. If you compare two different gas molecules at the same temperature and pressure, λ is inversely proportional to the square of the diameter 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) and define units for Rmfp.

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We are asked to create a formula for the mean free path of a gas molecule.


T → directly proportional to λ→ numerator

P → inversely proportional to λ→ denominator

square diameter → d2 → inversely proportional to λ→ denominator


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You may want to reference (Pages 416 - 419) Section 10.8 while completing this problem.

At constant pressure, the mean free path (λ) of a gas molecule is directly proportional to temperature. At constant temperature, λ is inversely proportional to pressure. If you compare two different gas molecules at the same temperature and pressure, λ is inversely proportional to the square of the diameter 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) and define units for Rmfp.

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