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Question

The mean free path (λ) of a gas sample is given by:

A
λ=2πσ2N
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B
λ=12.πσ2N
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C
λ=2πuσ2N
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D
None of these
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Solution

The correct option is B λ=12.πσ2N
Mean free path, λ=Average distance travelled per unit time (uavg)Number of collision made by single molecule in unit time
λ=uavgZ1
Z1=2πσ2Nuavg
Formula for mean free path is λ=12.πσ2N
where, N= Number of particles per unit volume
σ=Collision diameter (2r)

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