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Q.

Hydrogen gas diffuses from two different vessels X and Y. Vessel X has a circular orifice while vessel Y has a square orifice of length equal to the radius of the orifice of vessel X . Assuming same temperature and pressure, the ratio of the rates of diffusion of gas from vessel X to vessel Y is :

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a

1:1

b

1:2

c

1π

d

π.

answer is D.

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Detailed Solution

Let r = radius of the orfice of vessel X. We know : rate of diffusion is directly proportional to the area of orfice. So for vessel X with circular orifice rx ∝ πr2…(i); for square vessel Y length=r ; orifice = ry ∝ r2Ratio of rates of diffusion of X and Y ; rxry=πr2r2 or rxry=π

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Hydrogen gas diffuses from two different vessels X and Y. Vessel X has a circular orifice while vessel Y has a square orifice of length equal to the radius of the orifice of vessel X . Assuming same temperature and pressure, the ratio of the rates of diffusion of gas from vessel X to vessel Y is :