Hydrogen molecules at 300 K have a certain rms speed…

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Try it on paper first. A hint, the key idea and the worked solution are here when you need them.

Hydrogen molecules at $300$ K have a certain rms speed. To what temperature must oxygen be heated so that its molecules have the same rms speed? Hydrogen is $2$ g/mol and oxygen is $32$ g/mol.

Need a reminder? The key ideaShow

\displaystyle v_{rms} = \sqrt{\frac{3RT}{M}}, \quad v_{avg} = \sqrt{\frac{8RT}{\pi M}}, \quad v_{mp} = \sqrt{\frac{2RT}{M}}

with $M$ in kg/mol. The ratio is $v_{mp} : v_{avg} : v_{rms} = 1 : 1.128 : 1.225$ .

The worked solution

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