The Langmuir adsorption isotherm equation is used to describe the adsorption of molecules onto a surface, such as a metal oxide surface. The equation is given by: = K * P / 1 + K * P where: = fractional coverage of the surface adsorbed molecules / total available sites K = Langmuir constant, which depends on the specific adsorbate, adsorbent, and temperatureP = partial pressure of the adsorbateThe maximum adsorption capacity of a metal oxide surface for a specific type of molecule at a particular temperature can be determined by finding the value of when it reaches its maximum value, which is 1 meaning the surface is fully covered with adsorbed molecules .To find the maximum adsorption capacity, we can set = 1 and solve for P:1 = K * P / 1 + K * P Rearranging the equation, we get:P = 1 / KThis means that the maximum adsorption capacity is reached when the partial pressure of the adsorbate is equal to the inverse of the Langmuir constant 1/K . Note that the Langmuir constant depends on the specific adsorbate, adsorbent, and temperature, so you would need to know or determine the value of K for your specific system to find the maximum adsorption capacity.