J.R. S. answered 03/19/22
Ph.D. University Professor with 10+ years Tutoring Experience
You must work with MOLES, not mass.
To determine the mass of Br2 needed to react with a given mass of Mg, first write the balanced equation:
Mg + Br2 ==> MgBr2 ... balanced equation
Next, convert the mass of Mg to moles of Mg by dividing the mass by the atomic mass of Mg (24.3 g/mol)
Next, use the mole ratio of the balanced equation to find moles of Br2 needed. It will be the same as the moles of Mg used since the mol ratio is 1:1
Finally, convert moles of Br2 to grams Br2 by multiplying by the molar mass Br2 (160 g/mol)
Example using 15 g of Mg:
15 g Mg x 1 mol Mg / 24.3 g Mg = 0.617 mols Mg
moles Br2 needed = 0.617 mols Mg x 1 mol Br2 / mol Mg = 0.617 moles Br2 needed
mass Br2 = 0.617 mols Br2 x 160 g / mol = 98.8 g Br2