The root mean square velocity of a gas is doubled when the temperature is

Options

A. reduced to one-half
B. reduced to one-fourth
C. increase four times
D. increased two times

Explanation

To solve the problem, we need to analyze the relationship between the root mean square (rms) velocity of a gas and its temperature. The formula for the root mean square velocity (v_rms) is given by:

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

Where:
- \( R \) is the universal gas constant,
- \( T \) is the absolute temperature in Kelvin,
- \( M \) is the molar mass of the gas.
...