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A student wants to determine the specific surface area of a solid sample using gas adsorption. The sample has a mass of 1 gram and the adsorption iso

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To determine the specific surface area of the sample based on the BET model, we need to follow these steps:1. Convert the pressure data to relative pressure  P/P0  by dividing the pressure values by the saturation pressure of nitrogen at the experimental temperature. For simplicity, we will assume P0 = 760 torr  1 atm .Relative Pressure  P/P0  | Volume of nitrogen  cm3 -------------------------|-----------------------    50/760               |        24.51   100/760               |        39.22   200/760               |        67.38   300/760               |        90.86   400/760               |       104.292. Calculate the adsorption quantity  n  by dividing the volume of nitrogen by the molar volume of nitrogen at the experimental temperature and pressure. Assuming the molar volume of nitrogen is 22.4 L/mol at STP  0C and 1 atm , we can calculate n as follows:Relative Pressure  P/P0  | n  mol -------------------------|---------    50/760               | 24.51/22400   100/760               | 39.22/22400   200/760               | 67.38/22400   300/760               | 90.86/22400   400/760               | 104.29/224003. Plot the BET adsorption isotherm by plotting 1/[n P0-P ] on the y-axis and P/P0 on the x-axis. Calculate the slope and intercept of the linear portion of the plot.4. Calculate the monolayer adsorption capacity  n_m  and the BET constant  C  using the slope  s  and intercept  i  of the linear plot:n_m = 1 / [ s/i  - 1]C = 1 + [ s/i  - 1]5. Calculate the specific surface area  A  using the monolayer adsorption capacity  n_m  and the cross-sectional area of the nitrogen molecule   = 0.162 nm :A = [n_m * N_A * ] / mwhere N_A is Avogadro's number  6.022 x 10 mol  and m is the mass of the sample  1 g .6. Report the specific surface area  A  in m/g or cm/g.Note: The actual calculations of the slope, intercept, n_m, C, and A require graphing software or a spreadsheet program to plot the data and perform linear regression. The provided data is not sufficient to provide a numerical answer without performing these calculations.

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