When calculating for root mean square speed (μ_{rms}), we will use the following equation:

$\overline{){{\mathbf{\mu}}}_{{\mathbf{rms}}}{\mathbf{=}}\sqrt{\frac{\mathbf{3}\mathbf{RT}}{\mathbf{M}}}}$

µ_{rms} = rms speed,

R = 8.314 J/(mol·K)

T = temperature, K

M = molar mass, kg/mol

**Given:**

Calculate the root-mean-square velocity of SO_{3} at 286 K .

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