To solve this problem, we need to use the BET theory equation for multilayer adsorption. The BET equation is as follows:V = V_m * C * P / [ P_0 - P * 1 + C - 1 * P / P_0 ]Where:V = volume of gas adsorbed at pressure PV_m = volume of gas adsorbed in a monolayerC = BET constantP = pressure of the gasP_0 = saturation pressure of the gasHowever, in this problem, we are not given the values for C, P, and P_0. Instead, we are given the monolayer coverage and the specific surface area of activated carbon. We can still find the number of layers of nitrogen molecules adsorbed using the following approach:1. Calculate the total surface area of activated carbon.2. Divide the total surface area by the monolayer coverage to find the number of layers.Step 1: Calculate the total surface area of activated carbon.Specific surface area of activated carbon = 1500 m/gLet's assume we have 1 gram of activated carbon.Total surface area = 1500 m/g * 1 g = 1500 mStep 2: Divide the total surface area by the monolayer coverage to find the number of layers.Monolayer coverage = 100 m/gNumber of layers = Total surface area / Monolayer coverageNumber of layers = 1500 m / 100 m/g = 15 layersSo, according to the BET theory, 15 layers of nitrogen molecules can be adsorbed on the surface of the given amount of activated carbon.