Two bulbs `A` and `B` of equal capacity are filled with `He` and `SO_(2)`, respectively, at the same temperature.
(a) If the pressures in the two bulbs are same, what will be the ratio of the velocities of the molecules of the two gases?

Explanation

To solve the problem of finding the ratio of the velocities of the molecules of helium (He) and sulfur dioxide (SO₂) in two bulbs at the same temperature and pressure, we can use the concept of root mean square (RMS) velocity. The formula for the RMS velocity of a gas is given by:

\[ v_{\text{RMS}} = \sqrt{\frac{3RT}{M}} \]

where:
- \( R \) is the universal gas constant,
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