Question
Define root mean square speed $\left( v _{ rms }\right)$. Write down its equations.

Answer

Root mean square speed is defined as the square root of the mean of the square of speeds of all molecules. It is denoted by $v_{r m s}=\sqrt{v^2}$
Mean square speed $\overline{v^2}=\frac{3 k T }{m}$
$
\therefore \quad v_{r m s}=\sqrt{\frac{3 k T }{m}}=1.73 \sqrt{\frac{k T }{m}}
$

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