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$"1 mol Mg(ClO"_4)_2"$ contains $"1 mol Mg atoms", "2 mol Cl atoms", and "8 mol O atoms"$.

To determine the number of moles of each element in $"7.50 mol"$ of the compound, multiply the moles of each element times $"7.50"$.

$7.50cancel("Mg"("ClO"_4)_2)xx(1"mol Mg atoms")/(1cancel("mol Mg"("ClO"_4)_2))="7.50 mol Mg atoms"$

$7.50cancel("mol Mg"("ClO"_4)_2)xx(2"mol Cl atoms")/(1cancel("mol Mg"("ClO"_4)_2))="15.0 mol Cl atoms"$

$7.50cancel("mol Mg"("ClO"_4)_2)xx(8"mol O atoms")/(1cancel("mol Mg"("ClO"_4)_2))="60.0 mol O atoms"$

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