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Consider a sample of oxygen behaving like an ideal gas. At 300K, the ratio of root mean square (rms) velocity to the average velocity of gas molecule would be :
(Molecular weight of oxygen is 32 g/mol ; R = 8.3 JK-1 mol-1)

Option 1 -

√(8π/3)

Option 2 -

√(8/3)

Option 3 -

√(3/3)

Option 4 -

√(3π/8)

0 2 Views | Posted a month ago
Asked by Shiksha User

  • 1 Answer

  • V

    Answered by

    Vishal Baghel | Contributor-Level 10

    a month ago
    Correct Option - 4


    Detailed Solution:

    v_rms = √ (3RT/M) and v_av = √ (8RT/πM)

    ⇒ v_rms / v_av = √ [ (3RT/M) / (8RT/πM)] = √ (3π/8)

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