Question

Calculate the root-mean-square velocity of oxygen molecules at room temperature, 25 oC. Given that molar mass of oxygen and molar gas constant are 31.9998 g/mol and 8.3143 J/mol K, respectively in meter per second

Answer 1

$\upsilon_{rms}=\sqrt{\frac{3RT}{M}}$

Remember,

T must be in the kelvin scale.

$\begin{gathered} \upsilon_{rms}=\sqrt{\frac{3\times8.314\times298}{\frac{31.9998}{1000}}} \\ \\ v_{rms}=481.94 \end{gathered}$