The elevation in boiling point for 1 molal solution of non-volatile solute A is $3 \mathrm{~K}$. The depression in freezing point for 2 molal solution of $\mathrm{A}$ in the same solvent is 6 $K$. The ratio of $K_{b}$ and $K_{f}$ i.e., $K_{b} / K_{f}$ is $1: X$. The value of $X$ is [nearest integer]

Molality of a solution of non volatile solute $(A)=1$<br/><br/> Elevation in boiling point is given by <br/><br/> $\Delta \mathrm{T}_{\mathrm{b}}=\mathrm{K}_{\mathrm{b}} \mathrm{m}$ <br/><br/> $3=\mathrm{K}_{\mathrm{b}} \times 1$ &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;... (1)<br/><br/> Molality of $(A)$ in the same solvent $=2$ <br/><br/> Depression in freezing point is given by <br/><br/> $$ \begin{aligned} &\Delta \mathrm{T}_{\mathrm{f}}=\mathrm{K}_{\mathrm{f}} \mathrm{m} \\ &6=\mathrm{K}_{\mathrm{f}} \times 2 \quad\quad\quad{...(2)} \\ &\text { Dividing (1) by (2) } \\ &\frac{\mathrm{K}_{\mathrm{b}}}{\mathrm{K}_{\mathrm{f}}}=\frac{1}{\mathrm{X}}=\frac{1}{1} \\ &\therefore \quad \mathrm{X}=1 \end{aligned} $$