$1 - \alpha $ $\frac{\alpha }{2}$
$1 - 0.8$ $\frac{{0.8}}{2}$
$i\, = 1 - 0.8\, + \,\frac{{0.8}}{2}\, = \,0.6$
$\Delta {T_f}\, = \,{K_f}\, \times \,\,i\,\, \times \,\,m$ $ = \,5\,\, \times \,0.6\,\, \times \,\frac{X}{{122}}\, \times \,\frac{{1000}}{{30}}\, = \,2$ (Since $\Delta {T_f}\, = \,2$ )
$\therefore \,X\, = \,2.44\,g$
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| Compound | Weight $\%$ of $P$ | Weight $\%$ of $Q$ |
| $1$ | $50$ | $50$ |
| $2$ | $44.4$ | $55.6$ |
| $3$ | $40$ | $60$ |
$(A)$ If empirical formula of compound $3$ is $P_3 Q_4$, then the empirical formula of compound $2$ is $P_3 Q_5$.
$(B)$ If empirical formula of compound $3$ is $P _3 Q _2$ and atomic weight of element $P$ is $20$ , then the atomic weight of $Q$ is $45$ .
$(C)$ If empirical formula of compound $2$ is $PQ$, then the empirical formula of the compound $1$ is $P _5 Q _4$.
$(D)$ If atomic weight of $P$ and $Q$ are $70$ and $35$ , respectively, then the empirical formula of compound $1$ is $P _2 Q$.