To calculate the surface area of an activated charcoal sample using the BET Brunauer-Emmett-Teller method, we need the following information:1. Adsorption isotherm data: This includes the equilibrium gas pressure P and the amount of gas adsorbed n at each pressure point.2. Mass of the activated charcoal sample m 3. Pore volume of the activated charcoal sample V_pore 4. Cross-sectional area of the adsorbed gas molecule A_gas The BET equation is given by:n / P0 - P = 1 / n_m * C + [ C - 1 * P / P0 * n_m * C ]where:n = amount of gas adsorbed at pressure PP0 = saturation pressure of the adsorptiveP = equilibrium pressuren_m = monolayer capacityC = BET constantTo calculate the surface area, follow these steps:1. Plot the BET plot using the adsorption isotherm data, which is a plot of [n / P0 - P ] versus [P / P0].2. Perform a linear regression on the BET plot to obtain the slope S and y-intercept I of the linear portion of the plot.3. Calculate the monolayer capacity n_m and BET constant C using the slope and y-intercept:n_m = 1 / [ S / I - 1]C = 1 + [ S / I ]4. Calculate the surface area A of the activated charcoal sample using the following equation:A = n_m * m * A_gas / N_Awhere:A_gas = cross-sectional area of the adsorbed gas molecule e.g., 0.162 nm for nitrogen N_A = Avogadro's number 6.022 x 10 molecules/mol 5. If needed, you can also calculate the specific surface area SSA by dividing the surface area A by the mass of the activated charcoal sample m :SSA = A / mPlease note that without the specific adsorption isotherm data, mass, and pore volume, it is not possible to provide a numerical answer. However, you can use the steps and equations provided above to calculate the surface area once you have the required information.