NEET-XII-Physics
24: Kinetic Theory of Gases
- #12Find the rms speed of hydrogen molecules in a sample of hydrogen gas at 300 K. Find the temperature at which the rms speed is double the speed calculated in the previous part.Ans : Here,
Temperature of hydrogen gas, T = 300 K
Molar mass of hydrogen, M​0 = 2 g/mol=0.002 kg /mol
We know,
`` C=\sqrt{\frac{3RT}{{M}_{0}}}``
`` \Rightarrow C=\sqrt{\frac{3\times 8.3\times 300}{0.002}}``
`` \Rightarrow C=1932.6{\,\mathrm{\,ms\,}}^{-1}``
In the second case, let the required temperature be T.
​Applying the same formula, we get
`` \sqrt{\frac{3\times 8.3T}{0.002}}=2\times 1932.6``
`` \Rightarrow T=1200\,\mathrm{\,K\,}``
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