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General Chemistry

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Moderate

Calculating the RMS Speed of Oxygen

CHEM-FSCZKJ

Find the root-mean-square (RMS) speed of ${O}_{2}(g)$ at $T=300\text{ K}$ using the following equation: $${v}_{rms}=\sqrt{\frac{3RT}{{M}_{m}}}$$
where $R$ is the gas constant, $T$ is the temperature, and ${M}_{m}$ is the molar mass of the ${O}_{2}(g)$.

$\left(R=8.314\frac{J}{mol\times K}\right)$

A

$484\text{ m/s}$

B

$684\text{ m/s}$

C

$15.3\text{ m/s}$

D

$281\text{ m/s}$