First slide

Gaseous state

Question

If equal volumes of oxygen and nitrogen undergoing diffusion, if oxygen diffuses in l0 min, then under similar conditions time period for diffusion of nitrogen is x .y minutes, then the value of x .y is

Moderate

Solution

$Rate of diffusion \propto \sqrt{\frac{1}{Mw}}$
rate of diffusion = $\frac{v o l u m e d i f f u s e d}{t i m e}$
$\begin{array}{l} ∴ \frac{\frac{1}{t_{O_{2}}}}{\frac{1}{t_{N_{2}}}} = \sqrt{\frac{M_{N_{2}}}{M_{O_{2}}}} = \sqrt{\frac{28}{32}} = 0 .93 \\ or \frac{t_{N_{2}}}{t_{O_{2}}} = 0 .93 \\ ∴ t_{N_{2}} = 0 .93 \times 10 = 9 .3 \min \end{array}$

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