If the rms speed of nitrogen molecules is `490 m s^(-1)`at 273 K, find the rms speed of hydrogem molecules at the same temperature.

Explanation

To find the root mean square (RMS) speed of hydrogen molecules at the same temperature given the RMS speed of nitrogen molecules, we can follow these steps:

### Step 1: Understand the relationship between RMS speed and molecular weight
The RMS speed (\(v_{rms}\)) of a gas is inversely proportional to the square root of its molecular weight (\(M\)). This relationship can be expressed as:
\[ v_{rms} \propto \frac{1}{\sqrt{M}} \]

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