Medium
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 the Boltzmann constant,then its temperature will be:
- A$\frac{m\bar{v}^2}{3k_B}$
- B$\frac{m\bar{v}^2}{7k_B}$
- C$\frac{m\bar{v}^2}{5k_B}$
- D$\frac{m\bar{v}^2}{6k_B}$
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Similar Questions
The temperature at which the rms speed of oxygen molecules is $75 \%$ of the rms speed of nitrogen molecules at a temperature of $287^{\circ} C$ is: (in $^{\circ} C$)
The rms speed of oxygen at room temperature is about $500 \,m/s$. The rms speed of hydrogen at the same temperature is about (in $\,m/s$)
The respective speeds of the five molecules are $1, 2, 3, 4$ and $5 \ km/s$. The ratio of their root mean square (rms) velocity to their average velocity is:
Column-$I$ represents the formula for ${v_{rms}}$ and Column-$II$ represents the corresponding condition (phenomena). Match them correctly:
Column-$I$ Column-$II$ $(a)$ ${v_{rms}} = \sqrt {\frac{3P}{\rho}}$ $(i)$ For $1 \text{ mole ideal gas}$ $(b)$ ${v_{rms}} = \sqrt {\frac{3RT}{M_0}}$ $(ii)$ For one molecule of gas $(c)$ ${v_{rms}} = \sqrt {\frac{3{k_B}T}{m}}$ $(iii)$ On the basis of kinetic theory
| Column-$I$ | Column-$II$ |
| $(a)$ ${v_{rms}} = \sqrt {\frac{3P}{\rho}}$ | $(i)$ For $1 \text{ mole ideal gas}$ |
| $(b)$ ${v_{rms}} = \sqrt {\frac{3RT}{M_0}}$ | $(ii)$ For one molecule of gas |
| $(c)$ ${v_{rms}} = \sqrt {\frac{3{k_B}T}{m}}$ | $(iii)$ On the basis of kinetic theory |
Medium
View SolutionThe effect of temperature on Maxwell's speed distribution is correctly shown by
Medium
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