Question:
In a gas at 1 atm pressure and 27C a molecule has diameter of 5A find mean free path of molecules
Answer:
The distance covered by the molecules between two successive collisions is known as free path and mean of all free paths is known as mean free path.
λ = 1/√2 * kT/∏d2P
T = 27 + 273 = 300 K
d = 5 * 10-10m
P = 1 Atm * 1.01 * 105 Pa (As 1 Atm = 1.01 * 105 Pa)
k = 1.38 × 10−23 J/K
λ = 1/√2 * kT/∏d2P
= 1/√2 * 1.38 × 10−23 * 300 / 3.14 * (5 * 10-10)2 * 1.01 * 105
= 414 * 10-23 / 79.285 * 10-15
= 5.222 * 10-8 m
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