N₂ adsorption on TiO₂ at 75 K gives a linear BET plot of $z/[(1-z)V]$ against $z=p/p^0$, with intercept $4.0\times10^{-6}$ mm⁻³ and slope $1.0\times10^{-3}$ mm⁻³. Find monolayer volume, nearest integer.
In BET form the intercept is $1/(V_mC)$ and slope is $(C-1)/(V_mC)$. Their sum equals 1/Vm, so $V_m=1/(0.000004+0.001)=996.016$ mm³. Rounded volume is 996 mm³, A.
More Surfaces and Interfaces: Physisorption and chemisorption. Langmuir, Freundlich and Brunauer-Emmett-Teller (BET) isotherms. Surface catalysis: Langmuir-Hinshelwood mechanism. Surface tension, viscosity, Self- assembly/ physical chemistry of colloids, micelles and macromolecules. questions
GATE 2019 CY Q16– For the Freundlich adsorption isotherm, which plot is linear? θ is surface coverage and p…