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Question

Which of the following gas molecule has the longest mean free path at the same pressure and temperature?


A

Cl2

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B

H2

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C

N2

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D

O2

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Solution

The correct option is B

H2


Explanation for correct option:

B. H2

Mean free path:

  • “The mean free path is the average distance traveled by a moving particle between successive collisions.”
  • The mean free path is inversely proportional to molar mass. So, the smaller the molar mass, the higher the mean free path.
  • Hydrogen1 has a minimum molar mass in comparison to oxygen16, nitrogen14 as well as chlorine35.5. Thus, it will have the longest mean free path.

Explanation for incorrect options:

Hydrogen will have the longest mean free path. Thus, options A, C, and D are incorrect.

Hence, the correct option is B i.e. H2.


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