Question

Which type of graph gives straight line in langmuir adsorption isotherm?

• A. $\frac{x}{m}\to \frac{1}{P}$
• B. $\frac{m}{x} \to \frac{1}{P}$
• C. $\log _{10} \frac{x}{m} \to \frac{1}{P}$
• D. $ \log _{10} \frac{x}{m} \to P$

Answer 1

Answer: (B)

$\frac{x}{m}=\frac{a p}{1+b p}$

This equation is known as Lagmuir adsorption isotherm. where; $x=$ mass of gas adsorbed

m = grams of the adsorbent and a and b are constants.

Taking reciprocal of both sides, we have

$\frac{ m }{ x }=\frac{1+ bp }{ ap }$

$\frac{ m }{ x }=\frac{1}{ ap }+\frac{ b }{ a }$

Thus; a plot of $\frac{ m }{ x }$ versus $\frac{1}{ p }$ will be straight line.