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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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