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$C _2 H _4( g )+3 O _2( g ) \rightarrow 2 CO _2( g )+2 H _2 O ( l )$ the amount of heat produced as measured in bomb calorimeter is $1406\,kJ\,mol { }^{-1}$ at $300\,K$. The minimum value of $T \Delta S$ needed to reach equilibrium is $(-).......\,kJ$. (Nearest integer) Given : $R =8.3\,JK ^{-1} mol ^{-1}$
| 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 $P _2 Q$.