**root mean square speed (C**_{rms}):

${\mathbf{C}}_{\mathbf{rms}}\mathbf{=}\sqrt{\frac{\mathbf{3}\mathbf{RT}}{\mathbf{M}}}$

µ_{rms} = rms speed,

R = 8.314 J/(mol·K)

T = temperature, K

M = molar mass, kg/mol

MM of CH_{4} → 16.04 g/mol

MM of N_{2} → 28 g/mol

Calculate the root mean square velocities of CH_{4}(*g*) and N_{2}(*g*) molecules at 273 K and 546 K.

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