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The number of moles of $BaC{O_3}$, which contains $6$ mol of oxygen (atom), is:

Answer
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Hint: $BaC{O_3}$ is the chemical formula of Barium carbonate which is an inorganic compound. It is poorly soluble in water and like other alkali metals, it is a white salt. $BaC{O_3}$ is mainly used to remove sulfate impurities from feedstock of the chlor-alkali process. It is also used in ceramic industries and also acts as a flux, a matting and crystallizing agent and combines with certain coloring oxides to produce colors which are not easily attainable.

Complete step by step answer:
1 mol of $BaC{O_3}$ contains 3 moles of oxygen. So we can find out the number of moles of $BaC{O_3}$ present in $6$ moles of oxygen just by dividing the number of moles of oxygen total number of oxygen moles present in one mole of $BaC{O_3}$.
$1$ Mol of $BaC{O_3}$ contains $3$ moles of oxygen
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Fig: Chemical structure of $BaC{O_3}$.
$\therefore 6$ moles of oxygen present in $1$ mol of $BaC{O_3}$$ = \dfrac{6}{3} = 2$.
Therefore, the number of moles of $BaC{O_3}$ is $2$.

Note:
The above formula can also be used in finding the relation between the number of moles and molar mass.
Number of moles$ = $mass$/$relative formula mass.
This can also be used in finding the molar mass if the mass and number of moles are known.