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NTA Abhyas 2020

Exam: NTA Abhyas
Year: 2020
Subject: Chemistry
Chapter: States of Matter

NTA Abhyas 2020 · Chemistry · States of Matter

50ml of hydrogen diffuses out through a small hole from a vessel in...

50ml

of hydrogen diffuses out through a small hole from a vessel in

20

minutes. Calculate the time (in minutes) needed for

40ml

of oxygen to diffuse out

Correct answer

64

Step-by-step solution

If

40ml{O}_{2}

will diffuse in t min. then.

{r}_{{O}_{2}} = \dfrac{\text{40}}{t}

{r}_{{H}_{2}} = \dfrac{\text{50}}{\text{20}}

{r}_{{O}_{2}} = {r}_{{H}_{2}}\sqrt{\dfrac{{M}_{{H}_{2}}}{{M}_{{O}_{2}}}} = \dfrac{\text{50}}{\text{20}}\sqrt{\dfrac{2}{\text{32}}} = \dfrac{\text{50}}{\text{20}} . \dfrac{1}{4}

\dfrac{\text{40}}{t} = \dfrac{\text{50}}{\text{80}} ∴ t = \dfrac{\text{40} \times \text{80}}{\text{50}} = \text{64}min .

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