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Stoichiometry

Two bulbs A a...

Question

Two bulbs A and B of equal capacity are filled with helium and $S O_{2}$ respectively at the same temperature, the pressure in the two bulbs is the same, what will be the ratio of the velocities of the molecules of two gases ? $(H e : S O_{2})$

A

4 : 1

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B

1 : 4

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C

1 : 8

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D

8 : 1

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Solution

The correct option is A 4 : 1
Let the velocities of the $H e$ and $S O_{2}$ be $C_{1}$ and $C_{2}$ respectively.
$C_{1} = \sqrt{\frac{3 R T}{M_{H e}}}$ and $C_{2} = \sqrt{\frac{3 R T}{M_{S O_{2}}}}$
$\frac{C_{1}}{C_{2}} = \sqrt{\frac{M_{S O_{2}}}{M_{H e}}} = \sqrt{\frac{64}{4}} = 4$

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