devarshi-dt-logo

Question:

For a linear plot of log (x/m) versus log p in a Freundlich adsorption isotherm, which of the following statements is correct?

log(1/n) appears as the intercept.

Both k and 1/n appear in the slope term.

1/n appears as the intercept.

Only 1/n appears as the slope.

Solution:

For a linear plot of log (x/m) versus log p in a Freundlich adsorption isotherm, only 1/n appears as the slope. The Freundlich adsorption isotherm is given by the equation:

x/m = kP^(1/n)

Taking the logarithm of both sides:

log(x/m) = log(kP^(1/n))

log(x/m) = log k + (1/n)log P

This equation is of the form y = mx + c, where y = log(x/m), x = log P, m = 1/n (slope), and c = log k (intercept).

Therefore, a plot of log(x/m) versus log P will give a straight line with a slope of 1/n and an intercept of log k.