The Langmuir adsorption isotherm is a mathematical model that describes the adsorption of a gas onto a solid surface. It is based on the assumption that adsorption occurs at specific, localized sites on the surface, and that once a gas molecule occupies a site, no further adsorption can occur at that site. The model also assumes that all adsorption sites are equivalent and that there are no interactions between adsorbed molecules.The Langmuir adsorption isotherm can be represented by the following equation: = K * P / 1 + K * P where: is the fractional coverage of the surface i.e., the fraction of adsorption sites occupied by gas molecules K is the Langmuir adsorption constant, which is related to the enthalpy of adsorptionP is the partial pressure of the gasTo illustrate the Langmuir adsorption isotherm, you can plot the fractional coverage as a function of the partial pressure P of the gas. At low pressures, the isotherm follows a linear relationship, indicating that adsorption is proportional to the gas pressure. As the pressure increases, the isotherm approaches saturation, and the surface becomes fully covered with a monolayer of adsorbed gas molecules.To calculate the monolayer capacity of the solid, you can use the following rearranged form of the Langmuir equation:1/ = 1/K * P + 1By plotting 1/ against 1/P, you can obtain a straight line with a slope of 1/K and an intercept of 1. From the slope and intercept, you can determine the Langmuir constant K and the monolayer capacity.However, you have not provided any specific data to perform the calculation. If you can provide the data, I can help you calculate the monolayer capacity using the Langmuir equation.