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18 January, 12:05

Will these changes increase, decrease, or have no effect on the mean free path of the molecules in a gas sample?

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  1. 18 January, 15:46
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    According to the kinetic theory, the mean free path is the average distance a single atom or molecule of an element or compound travels with respect with the other atoms during a collision. The greater the mean free path, the more ideal the behavior of a gas molecule is because intermolecular forces are minimum. To understand which factors affect the mean free path, the equation is written below.

    l = μ/P * √ (πkT/2m), where

    l is the mean free path

    μ is the viscosity of the fluid

    P is the pressure

    k is the Boltzmann's constant

    T is the absolute temperature

    m is the molar mass

    So, here are the general effects of the factors on the mean free path:

    Mean free path increases when:

    1. The fluid is viscous (↑μ)

    2. At low pressures (↓P)

    3. At high temperatures (↑T)

    4. Very light masses (↓m)

    The opposite is also true for when the mean free path decreases. Factors that are not found here have little or no effect.
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