How do you Linearize the Langmuir equation?

How do you Linearize the Langmuir equation?

Langmuir, Freundlich isotherm and Redlich-Peterson equation) were studied….Table 1.

Isotherm Non-Linear equation Linear equation
Langmuir-1 C e q e = C e q m + 1 bq e
Langmuir-2 q e = q m bC e 1 + bC e 1 q e = 1 bq m 1 C e + 1 q m
Langmuir-3 q e = q m − 1 b q e C e
Langmuir-4 q e C e = bq m − bq e

How do you derive Langmuir adsorption isotherm?

Derivation of the Langmuir isotherm

  1. [SA] is proportional to the surface coverage of adsorbed molecules, or proportional to q.
  2. [S] is proportional to the number of vacant sites, (1 – q)
  3. [A] is proportional to the pressure of gas, P.

What is the physical significance of Langmuir adsorption isotherm?

The Langmuir adsorption isotherm is used to describe the equilibrium between adsorbate and adsorbent system, where the adsorbate adsorption is limited to one molecular layer at or before a relative pressure of unity is reached.

How adsorption depends on concentration of solute?

The extent of adsorption increases with increase in the surface area of adsorbent. The extent of adsorption decreases with increase in temperature. The extent of adsorption does not depends on the concentration of the solute in solution. The extent of adsorption depends on the nature of the adsorbent and the adsorbate.

What is Theta in Langmuir equation?

The equation was developed by Irving Langmuir in 1916. The equation is stated as: θ or theta is the percentage coverage of the surface, P is the gas pressure or concentration, α alpha is a constant. Other equations relating to adsorption exist such as the Temkin equation or the Freundlich equation.

How do I create an isotherm adsorption?

You need experimental data of course, which allow to calculate the adsorption value and the equilibrium adsorbate concentration. These two parameters creates adsorption isotherm. The main task is to establish equilibrium conditions.

What are isotherms describe Langmuir isotherm?

The Langmuir isotherm describes the maximum amount of gas that a shale can hold at a specified pressure and temperature. Several factors may result in a shale holding less than the maximum amount of gas as represented by the isotherm. Such shales are termed undersaturated.