The rms velocity of gas molecules at `927^(@)C` is X times to its value at `27^(@)C`. Find the value of X.

Explanation

To find the value of X, which represents the ratio of the root mean square (RMS) velocity of gas molecules at two different temperatures, we will follow these steps:

### Step 1: Understand the RMS Velocity Formula
The root mean square (RMS) velocity (V_rms) of gas molecules is given by the formula:
\[ V_{rms} = \sqrt{\frac{3RT}{M}} \]
where:
- \( R \) is the universal gas constant,
- \( T \) is the absolute temperature in Kelvin,
...