The Rms Velocity (Or Average Velocity) of a Gas Particle $\mu_{\mathrm{rms}}=\sqrt{\frac{24.9435 \mathrm{~T}}{\mathrm{M}}}$

Multiple Choice

The rms velocity (or average velocity) of a gas particle in meters per second is given by the formula $\mu_{\mathrm{rms}}=\sqrt{\frac{24.9435 \mathrm{~T}}{\mathrm{M}}}$ , where $\mathrm{T}$ is the absolute temperature in kelvin $\left(\mathrm{T}=\mathrm{T}_{\mathrm{C}}+273\right)$ and $\mathrm{M}$ is the molar mass (mass of 1 mole) of the gas in kilograms. Find the rms velocity for a molecule of Hydrogen $\left(\mathrm{H}_{2}\right)$ with molar mass 0.002 kilogram at a temperature of $70^{\circ} \mathrm{C}$ . Round to the nearest tenth of a meter per second.

A) $414.1 \mathrm{~m} / \mathrm{s}$
B) $2068.3 \mathrm{~m} / \mathrm{s}$
C) $1759.9 \mathrm{~m} / \mathrm{s}$
D) $934.4 \mathrm{~m} / \mathrm{s}$