For adsorption of a gas on a solid, the plot of log `(x//m)` vs log P is linear with a slope equal to [n being a whole number]:

Options

A. k
B. log k
C. n
D. `(1)/(n)`

Answer

D

Explanation

If we plot a graph between log `((x)/(m))` and log p, a straight line will be obtained. The slope of the line is equal to `(1)/(n)` and the intercept is equal to log k.

where, `(x)/(m)` = amount of adsorption
According to Freundlich adsorption isotherm
`(x)/(m)=kp^(1//n)`
Taking log of both sides,
`log.(x)/(m)= log k + (1)/(n) log p `
from y = zx + c
`z = (1)/(n)` (slope)