Question

Distribution of molecules with velocity is represented by the curve as shown.The velocity at point A is:

• A. $\sqrt{\frac{3RT}{M}}$.
• B. $\sqrt{\frac{2RT}{M}}$.
• C. $\sqrt{\frac{8RT}{\pi M}}$.
• D. $\sqrt{\frac{RT}{M}}$.

Answer 1

The correct option is B

$\sqrt{\frac{2RT}{M}}$.

From the graph, A represents the velocity of molecules that is the most frequent one. In the probability function (Boltzmann distribution ) most frequently observed = most probable speed.

So. A is most probable speed which is $\sqrt{\frac{2RT}{M}}$.