Choose a depiction of a gas sample containing equal molar amounts of xenon and argon as described by kinetic molecular theory. Red dots are used to represent xenon atoms and blue dots to represent argon atoms. Each atom is drawn with a "tail" that represents its velocity relative to the others in the mixture.

At first, it is important to remember that kinetic molecular theory help us understand how the molecules of a gas behave in terms of motion. In such a way, the relative velocity of a gas molecule has the following relationship with the gas' molar mass:

[tex]V[/tex]∝[tex]\frac{1}{\sqrt{M} }[/tex]

That is, an inversely proportional relationship which allows us to infer that the bigger the molecule the slower it. In this manner, as argon is smaller than xenon, it will move faster.

Now, as the gases are in equal molar amounts and considering that argon moves faster, on the attached picture you will find the suitable depiction of the gas sample, since red dots (argon) have a larger tail than the blue dots (xenon).

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pstnonsonjoku pstnonsonjoku · Answer 2 · 2021-12-07T14:16:45+01:00

The correct representation is the representation in which the blue dots have a longer tail.

According to the kinetic theory of gases, the molecules of a gas are in constant random motion. The average velocity of the gas molecules depends on temperature and the molar mass of the gas molecules.

We can see that the molar mass of xenon is far higher than that of argon as such, the image in which the blue dots have a longer "tail" indicating a greater velocity is the correct representation.

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