Which of the following mathematical properties and graphical features correctly describe the Langmui — Surface Chemistry Chemistry Question
Question
Which of the following mathematical properties and graphical features correctly describe the Langmuir adsorption isotherm?
💡 Solution & Explanation
Statement A correctly traces the isotherm: $x/m \propto P^1$ (low P), $x/m \propto P^{1/n}$ (moderate P), and $x/m \propto P^0$ (high P saturation). Statement B is mathematically correct: rearranging the formula gives $\frac{P}{x/m} = \frac{1}{a} + \frac{b}{a}P$. Statement C is false; at very low pressures ($bp \ll 1$), the equation simplifies to $x/m = ap$, meaning it is directly proportional to pressure, not independent of it. Statement D is the standard equation.