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
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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