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 :

Question

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 : (A) (m barv2/6kB) (B) (m barv2/5kB) (C) (m barv2/3kn) (D) (m barv2/7kB)

Tardigrade Admin · Accepted Answer

According to equipartion energy theorem (1/2)m(v2mix ) = 3 × (1/2) Kb T T = (m barv2mix/3k)

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

$\frac{m v ˉ ^{2}}{6 k _{B}}$

$\frac{m v ˉ ^{2}}{5 k _{B}}$

$\frac{m v ˉ ^{2}}{3 k _{n}}$

$\frac{m v ˉ ^{2}}{7 k _{B}}$

According to equipartion energy theorem
$\frac{1}{2} m (v_{mi x}^{2}) = 3 \times \frac{1}{2} K_{b} T$
$T = \frac{m v ˉ _{mi x}^{2}}{3 k}$

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

6kB​mvˉ2​

5kB​mvˉ2​

3kn​mvˉ2​

7kB​mvˉ2​