The Kinetic Theory Of Gases

The root mean square (rms) speed of gas molecules is related to temperature by the following equation:
where is the root mean square speed and is the temperature in Kelvin.
Given:
- Initial speed at . - Final temperature .
- The pressure change does not affect the rms speed directly in this case since we are comparing the same gas under ideal conditions.
Now, using the relation , we can solve for : Thus, the root mean square speed at 127°C and 2 atmospheric pressure is approximately 126.3 m/s.