Q20 / 160 · AP EAMCET 2014 · Chemistry

The ratio of rates of diffusion of gases $X$ and $Y$ is $1: 5$ and that of $Y$ and $Z$ is $1: 6$. The ratio of rates of diffusion of $Z$ and $X$ is

  • A
    $1: 30$
  • B
    $1: 6$
  • Correct answer
    C
    $30: 1$
  • D
    $6: 1$

Solution

From Graham's law of diffusion $$ \begin{aligned} & \frac{r_X}{r_Y}=\frac{1}{5} \\ & \frac{r_Y}{r_Z}=\frac{1}{6} \end{aligned} $$ On multiplying Eqs. (i) and (ii), $$ \begin{array}{rlrl} & \frac{r_X}{r_Z}=\frac{1}{5 \times 6} & =\frac{1}{30} \\ \therefore & & \frac{r_Z}{r_X} & =\frac{30}{1} \\ \text { or } & r_Z: r_X & =30: 1 \end{array} $$

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

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