Question

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

• A. $5/6$
• B. $1/30$
• C. $6/5$
• D. $30/1$

Answer 1

The correct option is D $30/1$

The rate of diffusion of gases

$X$ and $Y=1:5$

$Y$ and $Z=1:6$

$\frac{X}{Y}=\frac{1}{5}----\left(1\right)\frac{Y}{Z}=\frac{1}{6}----\left(2\right)\frac{X}{Y}\times \frac{Y}{Z}=\frac{1}{5\times 6}⟹Z:X=30:1$