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
jamb 2017chemistry

The correct answer is B. 12.5s

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

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