Q4 / 52 · KVPY 2017 (19 Nov SA) · Chemistry

$1.25 \mathrm{~g}$ of a metal (M) reacts with oxygen completely to produce $1.68 \mathrm{~g}$ of metal oxide. The empirical formula of the metal oxide is [molar mass of $\mathrm{M}$ and $\mathrm{O}$ are $69.7 \mathrm{~g} \mathrm{~mol}^{-1}$ and $16.0 \mathrm{~g} \mathrm{~mol}^{-1}$, respectively]

  • A
    $\mathrm{M}_{2} \mathrm{O}$
  • Correct answer
    B
    $\mathrm{M}_{2} \mathrm{O}_{3}$
  • C
    $\mathrm{MO}_{2}$
  • D
    $\mathrm{M}_{3} \mathrm{O}_{4}$

Solution

Figure
$\Rightarrow \quad \frac{1.25}{\mathrm{E}}=\frac{1.68}{\mathrm{E}+8}$ $\Rightarrow \quad \mathrm{E}=23.25$ $\quad \mathrm{n}-$ factor $=\frac{69.7}{23.25} \approx 3$ $\therefore \quad$ Emprical formula $=\mathrm{M}_{2} \mathrm{O}_{3}$

Hence, the correct answer is option: 'B'.

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