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Q.

A porous cup filled with hydrogen gas at atmospheric pressure is connected to a glass tube which has one end immersed in water as shown in the figure. Which of the following statement(s) among the following is/are correct regarding this set up?
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a

If the setup is allowed stand in the atmosphere for a long time, the water level in the tube will be lower than the water level in the tub.

b

H2  diffuses out of the cup and air diffuses in.

c

The water level rises in the glass tube initially.

d

If the porous cup is replaced by a balloon filled with, Helium to its maximum capacity at 2 atm, it would explode when kept for long time.

answer is A, B.

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Detailed Solution

As rate of diffusion of hydrogen is more than that of air under identical conditions, the pressure inside the porous cup drops initially. Air pressure on water in the tub pushes the water level up in the tube. If left for a long time, the pressure gradiant vanishes as all hydrogen would escape out and eventually the pot getting filled with air. So the water level inside the tube and outside evens out.

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