The mean free path 'λ' of a gas molecule, as given by Maxwell, is related to its radius 'a' 

Answer (Detailed Solution Below)

Option 1 :
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UP TGT Arts Full Test 1
125 Qs. 500 Marks 120 Mins

Detailed Solution

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CONCEPT:

  • Mean Free Path (λ): The distance travelled by a gas molecule between two successive collisions is known as a free path.
  • During two successive collisions, a molecule of gas moves in a straight line with constant velocity, and the mean free path of a gas molecule is given by

Where n = number of molecules per unit volume and d = diameter of a molecule

EXPLANATION:

  • The mean free path of a gas molecule is given by

As we know, d = 2a, where a = radius of a molecule

  • The mean free path of a gas molecule is given by

  • Therefore option 1 is correct.

Additional Information

  • From the above, it is clear that the mean free path of a gas molecule depends on the number of molecules per unit volume and diameter of a molecule

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