ChemistryAdsorption of a gas follows Freundlich adsorption isotherm. x is the mass of the gas adsorbed on mass m of the adsorbent. The plot of versus log p is shown in the given graph. log(x/m) is proportional to

Adsorption of a gas follows Freundlich adsorption isotherm. x is the mass of the gas adsorbed on mass m of the adsorbent. The plot of versus log p is shown in the given graph. log(x/m) is proportional to

  1. A

    P3/2

  2. B

    P3

  3. C

    P2

  4. D

    P2/3

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    Solution:

    The Freundlich adsorption isotherm law states that the change in the amount of gas absorbed by unit mass of a solid is directly proportional to the change in the pressure at a given temperature.

    Freundlich equation

    xm=KP1n-----(I)

    Where,

    x = mass of the adsorbent at pressure P

    k = constant

    Taking log both side in equation (I)

    log(x/m)=logK+1/ nlog P

    According to the given plot

    y=mx     where m is slop of line

    m=y/x=2/3 

    1/n=2/3

    So, xmP23

    Therefore, option D is correct.

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