Are Nitrogen Molecules Really Larger Than Oxygen Molecules?
The correct answer, with respect to “permeation”, is yes.
Graham’s Law Explained:
The Difference between Effusion and Permeation
There's often confusion associated with the molecular size, molecular weight and permeation properties of
oxygen and nitrogen molecules, and GNI is often called to task to explain why nitrogen actually migrates
(permeates) out through the rubber of a tire slower than does oxygen. We felt it best to leave it to the expertise
of Dr. Keith Murphy to elaborate on the scientific principles:
"Effusion" calculations are not appropriate for "permeation" of gas molecules through materials, such as the rubber of
tire walls. There is a fundamental difference in transport occurring through “effusion”, and transport occurring through
“permeation”.
Effusion would be appropriate, if the O2 and N2 molecules were passing through a relatively large passage way
through the tire wall, such as a leak. Graham's Law for "effusion" applies ONLY if the exit through which the molecules
pass is relatively large compared to the size of the molecules and does NOT obstruct or constrain one molecule from
passing through relative to the other molecule. O2 and N2 molecules are only slightly different in molecular size but
both are very small. Thus, to constrain one molecule's (e.g., molecule of type A) passage relative to the other's (e.g.,
molecule of type B) passage, that passage way size must be fairly close in dimension to the sizes of the molecules
themselves.
Graham's Law does not apply, if the passage way is very small, as occurs for dimensions of passage ways in-between
the polymer chains in a solid rubber, where the dimensions between the polymer chains do indeed constrain passage
of the larger size molecule, which is actually N2, compared to less constraint on the smaller size molecule, which is
actually O2.
It is often mistakenly assumed that "molecular size" correlates directly with "molecular weight". O2 does have a greater
molecular weight (32) than N2 (2

, but O2 is actually smaller in size. Thus, O2 fits through the relatively tight passage
ways between polymer chains in the rubber more easily than does N2. The difference is size between O2 and N2 is
very small, only about 0.3 times 10 to the -10th meters (0.00000000003 meters).
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