Decomposition reaction results in the formation of the products by splitting the reactants. Moles of mercury(ii) oxide needed are 15.63 moles.
Moles are the ratio of mass and the molar mass of the compound or the molecule.
Moles of oxygen are calculated as:
[tex]\begin{aligned}\rm n &= \rm \dfrac {mass}{molar\; mass}\\\\&= \dfrac{250}{32}\\\\&= 7.8125 \;\rm moles\end{aligned}[/tex]
The balanced chemical reaction can be shown as,
[tex]\rm 2HgO \rightarrow 2Hg + O_{2}[/tex]
From the reaction, it can be said that 1 mole of oxygen requires 2 moles of mercury oxide.
Moles of mercury oxide are calculated as:
[tex]\begin{aligned} \rm n HgO& = (7.8125 \;\rm moles \; O_{2}) \times (\dfrac{2 \;\rm moles\; HgO}{1 \;\rm mole \; O_{2}})\\\\\rm n HgO &= 15.625 \;\rm moles \end{aligned}[/tex]
Therefore, option C. 15.63 moles of mercury (II) oxide is needed.
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