To determine the maximum adsorption capacity and the equilibrium constant using the Langmuir adsorption isotherm, we need to first understand the Langmuir isotherm equation. The Langmuir isotherm equation is given by: = KP / 1 + KP where is the fractional coverage of the surface the ratio of the number of adsorbed molecules to the maximum number of adsorbable molecules , K is the equilibrium constant, and P is the pressure of the gas.In this problem, we are given the surface area of the solid 10 cm and the gas pressure range 0.1 to 1 bar . However, we do not have enough information to directly calculate the maximum adsorption capacity and the equilibrium constant. To find these values, the student would need to perform experiments at various pressures within the given range 0.1 to 1 bar and measure the amount of gas adsorbed on the surface at each pressure. By plotting the experimental data and fitting it to the Langmuir isotherm equation, the student can then determine the values of K equilibrium constant and the maximum adsorption capacity.It is important to note that the maximum adsorption capacity is related to the surface area of the solid, but we would need more information about the specific gas-solid system such as the size and shape of the adsorbed molecules and the surface properties of the solid to determine the exact maximum adsorption capacity.