By how many folds the temperature of a gas would increase when the rms velocity of the gas molecules in a container of fixed volume is increased from `5 xx 10^4` cm/s to `15 xx 10^4 ` cm/s?

Explanation

To solve the problem, we need to understand the relationship between the root mean square (rms) velocity of gas molecules and the temperature of the gas. The formula for rms velocity (\(v_{rms}\)) is given by:

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

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