Final answer:
0.85 g of magnesium remains unreacted after reacting 1.12 g of magnesium with 1.80 g of bromine to produce 2.07 g of magnesium bromide, based on the law of conservation of matter.
Step-by-step explanation:
According to the law of conservation of matter, the total mass of the reactants is equal to the total mass of the products in a chemical reaction. In this case, 1.12 g of magnesium is reacted with 1.80 g of bromine to yield 2.07 g of magnesium bromide as the only product.
First, we add the mass of the reactants to get the total initial mass:
1.12 g Mg + 1.80 g Br2 = 2.92 g total reactant mass.
Since 2.07 g of magnesium bromide is formed and total mass is conserved, the remaining mass is unreacted magnesium:
2.92 g total reactant mass - 2.07 g product mass = 0.85 g Mg unreacted.
Thus, 0.85 g of magnesium remains unreacted after the reaction has completed.