To check the principle of multiple proportions, a series of pure binary compounds \( \left(\math...

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To check the principle of multiple proportions, a series of pure binary compounds \( \left(\mathrm{P}_{\mathrm{m}} \mathrm{Q}_{\mathrm{n}}\right) \) were analyzed and their composition is tabulated below. The correct option(s) is(are)
\( \begin{array}{ccc}\text { Compound } & \text { Weight \% of P } & \text { Weight \% of Q } \\ 1 & 50 & 50 \\ 2 & 44.4 & 55.6 \\ 3 & 40 & 60\end{array} \)
(a) If empirical formula of compound 3 is \( \mathrm{P}_{3} \mathrm{Q}_{4} \). then the empirical formula of compound 2 is \( \mathrm{P}_{2} \mathrm{Q}_{5}{ }^{-} \)
- (b) If empirical formula of compound 3 is \( \mathrm{P}_{2} \mathrm{Q}_{5} \) and atomic weight of clement \( P \) 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 \( \mathrm{P}_{5} \mathrm{Q}_{4} \).
(d) If atomic weight of \( \mathrm{P} \) and \( \mathrm{Q} \) are 70 and 35 , respectively, then the empirical formula of compound 1 is \( \mathrm{P}_{2} \mathrm{Q} \).
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