The Langmuir adsorption isotherm equation is a model that describes the adsorption of a gas onto a solid surface. It is given by the following equation: = K * P / 1 + K * P where is the fractional coverage of the surface the ratio of the number of adsorbed gas molecules to the total number of available adsorption sites , K is the Langmuir adsorption constant which depends on the temperature and the specific adsorbent-adsorbate pair , and P is the partial pressure of the gas.The maximum amount of a gas that can be adsorbed onto the surface of a solid adsorbent at a specific temperature and pressure occurs when the surface is fully covered = 1 . In this case, the Langmuir equation becomes:1 = K * P / 1 + K * P Solving for P, we get:P = 1 / KNow let's consider an example with experimental data. Suppose we have a solid adsorbent with a Langmuir adsorption constant K = 0.02 atm at a specific temperature. To find the maximum amount of gas that can be adsorbed at this temperature, we can use the equation we derived above:P = 1 / K = 1 / 0.02 atm = 50 atmSo, at a pressure of 50 atm, the surface of the solid adsorbent will be fully covered with adsorbed gas molecules, and this represents the maximum amount of gas that can be adsorbed at this specific temperature and pressure according to the Langmuir adsorption isotherm equation.