Graham's Law Calculator

Real-Time Gas Diffusion & Effusion Calculations

Real-Time Calculation Gas Diffusion Rate Effusion Time Comparison Molar Mass Calculator Molecular Speed Gas Comparison Visual Diffusion Simulator Calculation History Preset Gas Library Unit Conversion Result Export Shareable Results Detailed Analysis Educational Tips Mobile Responsive
Graham's Law Calculator
g/mol
m/s
seconds
g/mol
m/s
seconds
Real-Time Results Live
N₂
Nitrogen
H₂
Hydrogen
1 : 3.74
Graham's Law Verified
Based on molar masses: √(M2/M1) = √(2/28) = 3.74
10 : 2.67
Effusion time ratio is inverse of rate ratio
Gas 1: 21%
Gas 2: 79%
Gas 2 diffuses 3.74 times faster than Gas 1
Rate₁ / Rate₂ = √(M₂ / M₁)
Where M₁ and M₂ are molar masses
Diffusion Visualization
Calculation History
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Understanding Graham's Law of Effusion

What is Graham's Law?

Graham's Law, formulated by Thomas Graham in 1848, states that the rate of effusion or diffusion of a gas is inversely proportional to the square root of its molar mass. This fundamental principle in physical chemistry explains why lighter gases diffuse more rapidly than heavier ones.

How to Use This Graham's Law Calculator

Our real-time Graham's Law calculator provides instant calculations for gas diffusion and effusion rates. Here's how to make the most of it:

  1. Select Gases: Choose from our preset gas library or enter custom gases with their molar masses.
  2. Input Parameters: Enter known values for diffusion rates, effusion times, or molar masses.
  3. Choose Calculation Type: Select whether you want to calculate rate ratios, time ratios, or molar masses.
  4. View Real-Time Results: See instant calculations with visualizations and detailed explanations.
  5. Explore Advanced Features: Use the diffusion simulator, save calculations to history, or export your results.

Practical Applications of Graham's Law

  • Gas Separation: Used in industrial processes to separate gases based on their molecular weights.
  • Leak Detection Lighter gases like helium are used to detect leaks in systems.
  • Respiratory Physiology: Explains how gases move in and out of lungs during breathing.
  • Environmental Science: Helps understand atmospheric gas mixing and pollution dispersion.
  • Chemical Safety: Important for handling and storing gases safely in laboratories.

Key Features of Our Advanced Calculator

This tool goes beyond basic calculations with 15+ professional functionalities:

  • Real-time calculation updates
  • Visual diffusion simulator
  • Comprehensive gas library
  • Calculation history tracking
  • Result export capabilities
  • Shareable calculation links
  • Mobile-responsive design
  • Detailed formula explanations
  • Multiple calculation modes
  • Unit conversion automation
  • Educational tips and guidance
  • SEO-optimized content
Pro Tip: For accurate results, ensure molar mass values are precise. Our preset gas library uses standard atomic weights from IUPAC.

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Common Gas Molar Masses

Gas Formula g/mol
Hydrogen H₂ 2.02
Helium He 4.00
Methane CH₄ 16.04
Nitrogen N₂ 28.02
Oxygen O₂ 32.00
Carbon Dioxide CO₂ 44.01