Question

The equation for Freundlich adsorption isotherm is:
A. \[\dfrac{x}{m} = K{p^{1/n}}\]
B. \[x = mK{p^{1/n}}\]
C. \[\dfrac{x}{m} = K{p^{ - n}}\]
D. All of these

Answer 1

Hint: From the name itself, it becomes clear that Freundlich adsorption isotherm is a curve that expresses the variation in the amount of gas adsorbed by the adsorbent with the temperature at the constant pressure.

Complete step-by-step answer:
The Freundlich adsorption isotherm is an empirical relation between the concentrations of a solute on the surface of an adsorbent to the concentration of the solute present in the liquid. Freundlich equation is an expression which represents the isothermal variation of adsorption of a gas adsorbed on a unit mass solid adsorbent with pressure. Adsorption is an attractive interaction between atoms, molecules or ions of a gas or liquid to a surface or deposition of molecular species on a surface called adsorbent.
Its mathematical expression can be analysed as:
 \[\dfrac{x}{m} = K{p^{1/n}}\](\[n > {\text{ }}1\])
Where, x is the mass of the adsorbent, k and n are constants that depend on the nature of adsorbent and the gas at a specific temperature .Adsorption factors consists of temperature, pore-volume, degree of saturation, molecular sieve, type of adsorbent, and surface area.


Hence, the correct option is (A).

Note: One might get confused between adsorption and absorption. They seem similar but are totally different as absorption is a bulk process in which the particles go into the bulk of the solvent while adsorption is a surface phenomenon in which the particles remain stuck to the surface of the solvent.