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  • at hydrogen diffuse out through a small hole from a vessel in 10 minutes.

\mathrm{100\, ml} at hydrogen diffuse out through a small hole from a vessel in 10 minutes.
Calculate the time ( in minute ) needed for 80 ml oxygen to diffuse out

Option: 1

64 \mathrm{~min}


Option: 2

3.2 \mathrm{~min}


Option: 3

32 \mathrm{~min}


Option: 4

6.4 \mathrm{~min}


Answers (1)

best_answer

If \mathrm{80 \, \mathrm{ml}\, \mathrm{O} _{2}} will diffuse in t min

\mathrm{then \, \mathrm{rO}_{2}=\frac{80}{t}}
            \mathrm{rH_{2}=\frac{100}{10}}
            \mathrm{rO_{2}=r H_{2} \sqrt{\frac{M H_{2}}{M O_{2}}}=\frac{100}{10} \sqrt{\frac{2}{32}}=\frac{100}{10} \times \frac{1}{4}=\frac{10}{4}=\frac{5}{2}}

\mathrm{\frac{80}{t}=\frac{5}{2} \quad \therefore \quad t=\frac{80 \times 2}{5}=3.2\, \mathrm{Min}}

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manish

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