Question

The root mean speed of gas molecules

• A. Is the same for all gases at the same temperature
• B. Depends on the mass of the gas molecule and its temperature
• C. Is independent of the density and pressure of the gas
• D. Depends only on the temperature and volume of the gas

Answer 1

The correct option is B

Depends on the mass of the gas molecule and its temperature

The root mean square speed of the molecules of a gas is given by

$v_{rms}=\sqrt{\frac{3kT}{M}}$

Where $m$ is the mass of the molecule of the gas, $T$ its absolute temperature and $k$ is the Boltzmann's constant. Hence the correct choice is (b)