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  • What is the root mean square velocity (in m/sec) of a molecule in a sample of oxygen at <img alt="\small 0^{\circ}C" src="https://entrancecorner.oncodecogs.com/gif.latex?%5Cdpi%7B100%7D%2

What is the root mean square velocity (in m/sec) of a molecule in a sample of oxygen at \small 0^{\circ}C?

Option: 1

389


Option: 2

461


Option: 3

523


Option: 4

347


Answers (1)

best_answer

We have
T = 273 K
Molar mass = 32 g or  3.2\times 10^{-2}  Kg/mol
We know that rms velocity is given as follows:

 \mathrm{V_{RMS} = \sqrt{\frac{3RT}{M}}}

\mathrm{\Rightarrow V_{RMS} = \sqrt{\frac{3\times 8.314 \times 273}{32 \times 10^{-3}}}}

\mathrm{\Rightarrow V_{RMS} =461 \ m/s}


 

Posted by

Ritika Jonwal

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