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Diffusion & Graham's Law

Bengali: ব্যাপন ও গ্রাহামের সূত্র•Pronunciation: ডিফিউশন অ্যান্ড গ্রাহামস ল•Symbol: r
Standard Definition:
The spontaneous net movement of particles from an area of higher concentration to an area of lower concentration.

📐 Mathematical Equation, Units & Dimensions

Defining Mathematical Equation
r∝1M⇒r1r2=M2M1=d2d1r \propto \frac{1}{\sqrt{M}} \Rightarrow \frac{r_1}{r_2} = \sqrt{\frac{M_2}{M_1}} = \sqrt{\frac{d_2}{d_1}}
Standard SI Unit
Diffusion rate: mL/s or mol/s(ব্যাপন হার: $mL/s$ বা $mol/s$)
Dimensional Analysis
[L3T−1][L^3 T^{-1}]
CGS Unit
cm^3/s

📖 Physical Concept & Comprehensive Explanation

Graham's law dictates that the rate of diffusion or effusion of a gas is inversely proportional to the square root of its molar mass. Lighter gases travel significantly faster than heavier molecules at equal thermal kinetic temperatures.

🎯 High-Yield Revision Points

  • ✓Diffusion is spontaneous; effusion occurs through a pinhole under pressure.
  • ✓Graham's law: Rate is inversely proportional to the square root of molar mass.
  • ✓Lighter molecules diffuse faster than heavier molecules.

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❓ Frequently Asked Exam Questions (FAQ)

Common questions in board and competitive entrance examinations

Q1: What is the difference between diffusion and effusion?

Diffusion is spontaneous dispersal through concentration gradients; effusion is forced escape through microscopic apertures under pressure.

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