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Q.

A uniform glass tube of 100 cm length is connected to a bulb at each end. The bulbs contain hydrogen and oxygen respectively at similar temperature and pressure. At what distance the two gases will meet for the first time if calculating from the oxygen end?

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a

40 cm

b

20 cm

c

60 cm

d

80 cm

answer is B.

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Detailed Solution

Distance from $O_{2}$ end $= x$
Distance from $H_{2}$ end $= 100 - x$
Rate of diffusion $\propto$ distance
$\begin{array}{l} \frac{r_{1}}{r_{2}} = \frac{x}{100 - x} \\ \frac{x}{100 - x} = \sqrt{\frac{M_{H_{2}}}{M_{O_{2}}}} \\ \frac{x}{100 - x} = \sqrt{\frac{2}{32}} \Rightarrow x = 20 c m \end{array}$

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