Question:
The correct expression for Langmuir isotherm is (given Y- mass of gas adsorbed per gram of adsorbent, p is pressure):
The correct expression for Langmuir isotherm is (given Y- mass of gas adsorbed per gram of adsorbent, p is pressure):
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Langmuir = Monolayer. The denominator is always $(1 + bp)$.
Updated On: May 28, 2026
- $Y=Ym.b.p/(1+b.p)$
- $1/Y=Ym.b.p/(1+b.p)$
- $Y=1/(Ym.b.p/(1+b.p))$
- $Y=Ym.b.p/(1-b.p)$
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The Correct Option is A
Solution and Explanation
Step 1: Concept
The Langmuir adsorption isotherm describes the relationship between the amount of gas adsorbed on a solid surface and the gas pressure at constant temperature.
Step 2: Meaning
It assumes monolayer adsorption on a surface with a finite number of identical sites, where $Ym$ is the maximum adsorption capacity and $b$ is the adsorption coefficient.
Step 3: Analysis
The derivation leads to the rectangular hyperbola equation $Y = \frac{Ym \cdot b \cdot p}{1 + b \cdot p}$. At low pressure, $Y \propto p$; at high pressure, $Y$ approaches $Ym$.
Step 4: Conclusion
Option (A) correctly represents the standard Langmuir equation.
Final Answer: (A)
The Langmuir adsorption isotherm describes the relationship between the amount of gas adsorbed on a solid surface and the gas pressure at constant temperature.
Step 2: Meaning
It assumes monolayer adsorption on a surface with a finite number of identical sites, where $Ym$ is the maximum adsorption capacity and $b$ is the adsorption coefficient.
Step 3: Analysis
The derivation leads to the rectangular hyperbola equation $Y = \frac{Ym \cdot b \cdot p}{1 + b \cdot p}$. At low pressure, $Y \propto p$; at high pressure, $Y$ approaches $Ym$.
Step 4: Conclusion
Option (A) correctly represents the standard Langmuir equation.
Final Answer: (A)
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