First slide

Gaseous state

Question

The ratio of root mean square speed of H₂ gas at 50 K and that of O₂ gas at 800 K is

Moderate

Solution

$\begin{array}{l} u_{rms} = \sqrt{\frac{3 RT}{M}} \\ \frac{u_{H_{2}}}{u_{O_{2}}} = \sqrt{\frac{T_{H_{2}} \times M_{O_{2}}}{T_{O_{2}} \times M_{H_{2}}}} = \sqrt{\frac{50 \times 32}{800 \times 2}} = 1 \end{array}$

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