A system consists of two types of gas molecules A and B having same number density . The diameter of A and B are 10 and 5 respectively. They suffer collision at room temperature. The ratio of average distance covered by the molecule A to that of B betwe

Question

A system consists of two types of gas molecules A and B having same number density $2 \times 10^{25} / m^{3}$ . The diameter of A and B are 10 $Å$ and 5 $Å$ respectively. They suffer collision at room temperature. The ratio of average distance covered by the molecule A to that of B between two successive collisions is ____ $\times 10^{- 2}$ .

Smart Achievers · Accepted Answer

(25)

$∴$ $mean free path$ $λ = \frac{1}{\sqrt{2} π d^{2} n}$

$\frac{λ_{1}}{λ_{2}} = \frac{d_{2}^{2} n_{2}}{d_{1}^{2} n_{1}} = {(\frac{5}{10})}^{2} = 0.25 = 25 \times 10^{- 2}$

Solution

Ans.
(25)

$∴$ $mean free path$ $λ = \frac{1}{\sqrt{2} π d^{2} n}$

$\frac{λ_{1}}{λ_{2}} = \frac{d_{2}^{2} n_{2}}{d_{1}^{2} n_{1}} = {(\frac{5}{10})}^{2} = 0.25 = 25 \times 10^{- 2}$

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Solution

Ans. (25) ∴ mean free path λ=12πd2n λ1λ2=d22n2d12n1=(510)2=0.25=25×10-2

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Ans.
(25)

$∴$ $mean free path$ $λ = \frac{1}{\sqrt{2} π d^{2} n}$

$\frac{λ_{1}}{λ_{2}} = \frac{d_{2}^{2} n_{2}}{d_{1}^{2} n_{1}} = {(\frac{5}{10})}^{2} = 0.25 = 25 \times 10^{- 2}$