First slide

Gaseous state

Question

The ratio between the root mean square velocity of H₂ at 50 K and that of O₂ at 800 K is

Moderate

Solution

$U_{rms} = \sqrt{\frac{3 RT}{M}} ∴ \frac{U_{rms} (H_{2})}{U_{rms} (O_{2})} \frac{50 K}{800 K} = \sqrt{\frac{{TH}_{2}}{{TO}_{2}} \times \frac{{MO}_{d}}{{MH}_{2}}} = \sqrt{\frac{50}{800} \times \frac{32}{2}} = 1$

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