Q. The relationship between diffusion coefficient (D) and mean free path (λ) is:
प्रसार गुणांक (D) और माध्य मुक्त पथ (λ) के बीच संबंध है:
Explanation
The diffusion coefficient is directly proportional to the mean free path.
Kinetic theory relationship: D = (1/3) × v_avg × λ
Where:
- D = diffusion coefficient
- v_avg = average molecular speed
- λ = mean free path
Physical reasoning:
- Longer mean free path → molecules travel farther between collisions
- Greater distance between collisions → faster diffusion
- Therefore: D increases as λ increases
Factors affecting λ:
- λ ∝ 1/P (pressure)
- λ ∝ T (temperature)
- λ ∝ 1/σ (collision cross-section)
Applications:
- Gas separation techniques
- Vacuum technology
- Atmospheric physics
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