Question

30. The most probable velocity of a gas molecules
at 298 K
is 300 m/s. Its rms velocity (in m/s) at
298 K will be

(2) 245
(3) 367
(4) 402
and 410​

Answer 1

Answer:

367 is the answer of this question

Answer 2

Answer:

RMS velocity is 367 $\frac{m}{s}$ at 298 K.

Explanation:

Given: Most Probable velocity is 300 $\frac{m}{s}$ at 298 K.

To find: RMS velocity

Formula: Most probable velocity $=\sqrt{\frac{2}{3}} \times \text { RMS velocity }$

Calculation: From formula,

RMS velocity $=\text { Most probable velocity } \times \sqrt{\frac{3}{2}}$

$\begin{array}{l}{=300 \times \frac{1.732}{1.414}} \\ {=367.4}\end{array}$

The formula to find root mean square (RMS) velocity is $\text { Most probable velocity } \times \sqrt{\frac{3}{2}}$. The most probable velocity is 300 $\frac{m}{s}$. So the value can be substituted. So the answer comes close 367 $\frac{m}{s}$.