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  4. An HCl molecule has rotational, translational and vibrational motions. If the rms velocity of HCl molecules in its gaseous phase is barv , m is its mass and kB is Boltzmann constant, then its temperature will be :

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Q. An $HCl$ molecule has rotational, translational and vibrational motions. If the rms velocity of $HCl$ molecules in its gaseous phase is $\bar{v}$ , $m$ is its mass and $k_B$ is Boltzmann constant, then its temperature will be :

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Solution:

According to equipartion energy theorem
$\frac{1}{2}m(v^2_{mix} ) = 3 \times \frac{1}{2} K_b T$
$T = \frac{m \bar{v}^2_{mix}}{3k}$