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Calculate the value of mean free path (λ) for oxygen molecules at temperature 27° C and pressure 1.01×10⁵ Pa. Assume the molecular diameter 0.3 nm and the gas is ideal. (k = 1.38 x 10⁻²³ JK⁻¹)

Option 1 -

58 nm

Option 2 -

86 nm

Option 3 -

32 nm

Option 4 -

102 nm

0 5 Views | Posted a month ago
Asked by Shiksha User

  • 1 Answer

  • A

    Answered by

    alok kumar singh | Contributor-Level 10

    a month ago
    Correct Option - 4


    Detailed Solution:

    λ = kT / (√2πd²P)
    = (1.38×10? ²³ × 300) / (√2 × 3.14 × (0.3×10? )² × 1.01×10? )
    ≈ 102 nm

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