Graham's Law of Diffusion Calculator
Calculate the relative diffusion rates of two gases based on their molar masses.
Calculation Parameters
Adjust the values below.
Calculated Result
Diffusion Velocity Ratio (v1 / v2)
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 Graham's Law of Diffusion problems dynamically. Adjust the input parameters using the sliders or selection menu below:
- Molar Mass of Gas 1 (M1, g/mol) (Range: 1.00 to 200.00, Default: 2.02)
- Molar Mass of Gas 2 (M2, g/mol) (Range: 1.00 to 200.00, Default: 44.01)
The results are computed instantly and updated in the results panel on the right.
Formula & Methodology
Where:
- Molar Mass of Gas 1: Parameter value.
- Molar Mass of Gas 2: Parameter value.
Step-by-Step Calculation Example
To calculate Graham's Law of Diffusion manually, follow these steps:
- Identify the input parameters. For example:
- Molar Mass of Gas 1 (M1, g/mol) = 2.02
- Molar Mass of Gas 2 (M2, g/mol) = 44.01
- Apply the formula:
v1 / v2 = √(M2 / M1)
- Verify the calculated value which is updated instantly in the results panel on the right.
Frequently Asked Questions
What is Graham's Law of Diffusion? ▼
Rate1 / Rate2 = √(Molar Mass 2 / Molar Mass 1), stating gas diffusion rate is inversely proportional to square root of molar mass.
How much faster does Hydrogen (H2) diffuse than Oxygen (O2)? ▼
Hydrogen (MW 2.016) diffuses √(32 / 2) ≈ 4 times faster than Oxygen (MW 32.00).
Does Graham's Law apply to gas density? ▼
Yes, because molar mass is proportional to density at constant T and P: Rate1 / Rate2 = √(Density 2 / Density 1).