calculate the mean free path of a gas molecule if the molecular diameter is 5A and the number of molecule per unit volume of the gas is 2*10²⁴ per m³. Compare it with molecular diameter . Plz help me Scammers Stay away .
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Explanation:
d = 5Å = 5 x 10 ^ -10 m,
N/V = 2 x 10^ 24 per m³
(i) The mean free path,
λ = 1 / root 2 pi d² (N/V)
= (1.414) (3.142) (5 x 10 ^ -10 m)² (2 x 10 ^ 24 per m³)
= 10 ^ -4 / (1.414) (3.142) (25) (2) m
= 1000 × 10 ^ -7 / (1.414) (3.142) (50) m
= 4.502 x 10 ^ -7 m
= 4502 Å
(ii) λ / d = 4502 Å / 5 Å
= 900.4
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