Q7 / 160 · AP EAMCET 2022 (06 Jul Shift 2) · Chemistry

The ratio of rates of diffusion of helium (He) to hydrogen $\left(\mathrm{H}_2\right)$.

  • A
    $\sqrt{2}: 1$
  • Correct answer
    B
    $1: \sqrt{2}$
  • C
    $1: 4$
  • D
    $1: 1.229$

Solution

Molecular mass of $\mathrm{H}_2=2$ Molecular mass of $\mathrm{He}=4$ $$ \begin{aligned} \frac{\text { Rate of diffusion of } \mathrm{He}}{\text { Rate of diffusion of } \mathrm{H}_2} & =\sqrt{\frac{\text { Molecular mass of } \mathrm{H}_2}{\text { Molecular mass of } \mathrm{He}}} \\ & =\sqrt{\frac{2}{4}}=\frac{1}{\sqrt{2}} \\ \therefore \quad r_{\mathrm{He}}: r_{\mathrm{H}_2} & =1: \sqrt{2} \end{aligned} $$

Hence, the correct answer is option: 'B'.

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