Hydrogen diffused through a porous plug

  • A thrice as fast as oxygen
  • B at the same speed as oxygen
  • C four times as fast as oxygen
  • D twice as fast as oxygen
jamb 2019chemistry

The correct answer is C. four times as fast as oxygen

Using Graham's Law of Diffusion,

\(\frac{R_1}{R_2} = \sqrt{\frac{m_2}{m_1}}\)

\(\frac{R_H}{R_O} = \sqrt{\frac{m_O}{m_H}}\)

\(\frac{R_H}{R_O} = \sqrt{\frac{32}{2}}\)

\(\frac{R_H}{R_O} = \sqrt{16} = 4\)

\(\therefore R_H = 4 \times R_O\)

Therefore, hydrogen diffuses 4 times faster than oxygen.

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