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Step 1. Calculate the moles of $"O"_2$.

$32.5 cancel("g O"_2) × ("1 mol O"2)/(32.00 cancel("g O"2)) = "1.016 mol O"_2$

Step 2. Use the molar ratio to calculate the moles of $"Mg"$.

$1.016 cancel("mol O"_2) × "2 mol Mg"/(1 cancel("mol O"_2)) = "2.031 mol Mg"$

Step 3. Calculate the mass of $"Mg"$.

$2.031 cancel("mol Mg") × ("24.30 g Mg")/(1 cancel("mol Mg")) = "49.4 g Mg"$

The reaction required $"49.4 g Mg"$.

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