Question

For Freundlich adsorption isotherm, a plot of $\log ( x / m )$ (y-axis) VS $\log p( x -$ axis) gives a straight line. The intercept and slope for the line are $0.4771$ and $2$, respectively. The mass of the gas, adsorbed per gram of adsorbent is $A \times 10^{-4} \,g$. if the intitial pressure is $0.04 \,atm$ and $(\log 3=0.4771)$ The value of $A$ is

Answer 1

$x / m = KP ^{1 / n }$
$\log ( x / m )=\log ( k )+\frac{1}{ n } \log ( P )$
$K =3, \frac{1}{ n }=2 \Rightarrow n =\frac{1}{2}$
$x / m =3( P )^{1 / n }$
$x / m =3 \times\left(4 \times 10^{-2}\right)^{2}$
$=48 \times 10^{-4} g$