Q6 / 160 · AP EAMCET 2019 (23 Apr Shift 1) · Chemistry

The ratio of rates of diffusion of gases \(A\) and \(B\) is \(1: 0.707\). If the molecular weight of \(B\) is 32 , the molecular weight of \(A\) is

  • A
    2
  • B
    64
  • Correct answer
    C
    16
  • D
    8

Solution

Rate of diffusion is inversely proportional to the square root of molecular weight. \(\begin{aligned} \text {i.e. } \quad R & \propto \frac{1}{\sqrt{M}} \\ \therefore \quad \frac{R_A}{R_B} & =\sqrt{\frac{M_B}{M_A}} \\ \frac{1}{0.707} & =\sqrt{\frac{32}{M_A}} \\ \frac{1}{0.499849} & =\frac{32}{M_A} \\ M_A & =15.99 \approx 16 \end{aligned}\)

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

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