JEE Mains · Physics · STD 11 - 12 . kinetic theory of gases
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
- A \(\frac{{m{\bar v ^{ 2}}}}{{3{k_B}}}\)
- B \(\frac{{m{\bar v ^{ 2}}}}{{7{k_B}}}\)
- C \(\frac{{m{\bar v ^{ 2}}}}{{5{k_B}}}\)
- D \(\frac{{m{\bar v ^{ 2}}}}{{6{k_B}}}\)
Answer & Solution
Correct Answer
(A) \(\frac{{m{\bar v ^{ 2}}}}{{3{k_B}}}\)
Step-by-step Solution
Detailed explanation
According to equipartion energy theorem \(\frac{1}{2} m\left(v_{m s}^{2}\right)=3 \times \frac{1}{2} k_{b} T\) \(T=\frac{m \bar{V}_{r m s}^{-2}}{3 k}\)
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