I'm a nanoengineering student who's been stuck on the following problem for a few days. I've gone back over my professors slides, watched podcasts from an old professor, etc. etc., but don't understand it any more than I did when it first came up. All I know is that it deals with the BET Isotherm, which there isn't a tag for...
Calculate the specific surface area of the mesoporous sample described below. Assume the effective cross-sectional area of one N$_2$ molecule is 0.18 nm$^2$, and 1 mole of gas occupies 20 L at standard temperature and pressure.
I'm then given the following graph and table:
I'm not 100% sure where to start, so I just have the following equations from my notes written down:
slope (m) = $\frac{c-1}{cN_m}$
y-intercept (b) = $\frac{1}{cN_m}$
$c-1=\frac{m}{b}$, $c=\frac{m}{b}+1=e^{\frac{\delta H_{des}-\delta H_{vap}}{RT}}$
Area (A) = $N_m*N_a*A_0$
$A/m=$ specific surface area.
Where Na is avogadro's number, A0 is the N2's surface area, and m is the mass of the nanoparticles.
Thanks so much for your help!