Langmuir Isotherm Calculator
Calculate the fractional surface coverage of an adsorbate on a solid surface using the Langmuir equation.
Calculation Parameters
Adjust the values below.
Calculated Result
Fractional Coverage (θ)
Surface saturation: 50.0%
Expert Tip
Ensure units are correctly formatted (e.g. Kelvin for gas temperatures and liters for volumes) to get chemically accurate outputs.
How this Calculator Works
This calculator allows you to solve Langmuir Isotherm problems dynamically. Adjust the input parameters using the sliders or selection menu below:
- Adsorption Constant (K, bar⁻¹) (Range: 0.01 to 10.00, Default: 1.00)
- Partial Pressure (P, bar) (Range: 0.01 to 20.00, Default: 1.00)
The results are computed instantly and updated in the results panel on the right.
Formula & Methodology
Where:
- Adsorption Constant: Parameter value.
- Partial Pressure: Parameter value.
Step-by-Step Calculation Example
To calculate Langmuir Isotherm manually, follow these steps:
- Identify the input parameters. For example:
- Adsorption Constant (K, bar⁻¹) = 1.00
- Partial Pressure (P, bar) = 1.00
- Apply the formula:
θ = (K * P) / (1 + K * P)
- Verify the calculated value which is updated instantly in the results panel on the right.
Frequently Asked Questions
What is the Langmuir adsorption isotherm? ▼
θ = (K × C) / (1 + K × C), modeling monolayer gas or solute adsorption onto a uniform solid surface with equivalent binding sites.
What assumptions does the Langmuir model make? ▼
Assumes monolayer coverage, equivalent localized binding sites, and no interactions between adjacent adsorbed molecules.
What does the Langmuir equilibrium constant (K) represent? ▼
K represents affinity of adsorbate molecules for binding sites on the solid adsorbent surface.