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Chemistry · PYQ NEET UG 2016(1)
हिन्दीEqual moles of hydrogen and oxygen gases are placed in a container with a pin-hole through which both can escape. What fraction of the oxygen escapes in the time required for one-half of the hydrogen to escape?
Correct answer · Option 1
\( \frac{1}{4} \)
Explanation
By Graham's law, \( \frac{n_{\mathrm{O}_2}}{n_{\mathrm{H}_2}} = \sqrt{\frac{M_{\mathrm{H}_2}}{M_{\mathrm{O}_2}}} \times \frac{t_{\mathrm{O}_2}}{t_{\mathrm{H}_2}} = \sqrt{\frac{2}{32}} \times \frac{1}{1} = \frac{1}{4} \). Since half of hydrogen escaped, \( \frac{1}{4} \) of oxygen escapes.
