Adsorption of a gas follows the Freundlich adsorption isotherm. $x$ is the mass of the gas adsorbed on mass $m$ of the adsorbent. The plot of $\log \frac{x}{m}$ versus $\log p$ is shown in the given graph. $\frac{x}{m}$ is proportional to:

  • A
    $p^{2/3}$
  • B
    $p^2$
  • C
    $p^3$
  • D
    $p^{3/2}$

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The mass of gas adsorbed,$x$,per unit mass of adsorbent,$m$,was measured at various pressures,$p$. $A$ graph between $\log(x/m)$ and $\log p$ gives a straight line with slope equal to $2$ and the intercept equal to $0.4771$. The value of $x/m$ at a pressure of $4 \text{ atm}$ is: (Given $\log 3 = 0.4771$)

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