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If 100cm3 of oxygen pass through a porous plug is 50 seconds, the time taken...

Chemistry
JAMB 2017

If 100cm3 of oxygen pass through a porous plug is 50 seconds, the time taken for the same volume of hydrogen to pass through the same porous plug is? [O = 16, H = 1]
  • A. 10.0s
  • B. 12.5s
  • C. 17.7s
  • D. 32.0s
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Correct Answer: Option B
Explanation
Rate of diffusion \(\frac{\alpha_1}{Density}\) or \(\frac{1}{\sqrt{Mm}}\)

Rate = \(\frac{1}{time}\)

\(\frac{1}{time}\) \(\frac{\alpha_1}{Density}\) or \(\frac{1}{\sqrt{Molarmass}}\)

Time \(\alpha \sqrt{Density}\) or \(\sqrt{Molarmass}\)

At constant volume of 100cm3

\(\frac{t_{o2}}{\sqrt{Mn_{o2}}}\) = \(\frac{t_{n2}}{\sqrt{1 \times 2}}\)

\(\frac{50}{4 \sqrt{2}}\) = \(\frac{t_{n2}}{\sqrt{2}}\)

tn2= 12.5s

There is an explanation video available below.


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Explanation Video

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