Q6 / 160 · TS EAMCET 2023 (13 May Shift 1) · Chemistry

The ratio of rates of diffusion of gases $X$ and $Y$ of molecular weights 36 and 64 is

  • A
    $9: 16$
  • B
    $3: 4$
  • Correct answer
    C
    $4: 3$
  • D
    $16: 9$

Solution

$\begin{aligned} & \frac{r_1}{r_2}=\sqrt{\frac{M_2}{M_1}} \Rightarrow \frac{r_x}{r_y}=\sqrt{\frac{M_y}{M_x}}=\sqrt{\frac{64}{36}} \\ & =\frac{8}{6}=\frac{4}{3}\end{aligned}$

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

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