Question

The rate of diffusion of $A$ is 5 times that of $B$ at same pressure. The density ratio of $A$ and $B$ is:

• A. $\frac{1}{25}$
• B. $25$
• C. $\frac{1}{5}$
• D. $5$

Answer 1

The correct option is A $\frac{1}{25}$

Rate of diffusion of $A=5$ $\times$ Rate of diffusion of $B$

$Density\left(\rho \right)=\frac{Mass\left(w\right)}{Volume\left(V\right)}$

Density $\propto$ Mass

$\frac{{rate}_A}{{rate}_B}=\sqrt{\frac{M_B}{M_A}}⟹\frac{5}{1}=\sqrt{\frac{D_B}{D_A}}⟹\frac{D_A}{D_B}=\frac{1}{25}$