HNO3 + Mg = H2 + Mg(NO3)2

nitric acid + magnesium ⟶ hydrogen + magnesium nitrate

Balance the chemical equation algebraically: + ⟶ + Add stoichiometric coefficients, c_i, to the reactants and products: c_1 + c_2 ⟶ c_3 + c_4 Set the number of atoms in the reactants equal to the number of atoms in the products for H, N, O and Mg: H: | c_1 = 2 c_3 N: | c_1 = 2 c_4 O: | 3 c_1 = 6 c_4 Mg: | c_2 = c_4 Since the coefficients are relative quantities and underdetermined, choose a coefficient to set arbitrarily. To keep the coefficients small, the arbitrary value is ordinarily one. For instance, set c_2 = 1 and solve the system of equations for the remaining coefficients: c_1 = 2 c_2 = 1 c_3 = 1 c_4 = 1 Substitute the coefficients into the chemical reaction to obtain the balanced equation: Answer: | | 2 + ⟶ +

+ ⟶ +

nitric acid + magnesium ⟶ hydrogen + magnesium nitrate

| nitric acid | magnesium | hydrogen | magnesium nitrate Hill formula | HNO_3 | Mg | H_2 | MgN_2O_6 name | nitric acid | magnesium | hydrogen | magnesium nitrate IUPAC name | nitric acid | magnesium | molecular hydrogen | magnesium dinitrate

| nitric acid | magnesium | hydrogen | magnesium nitrate molar mass | 63.012 g/mol | 24.305 g/mol | 2.016 g/mol | 148.31 g/mol phase | liquid (at STP) | solid (at STP) | gas (at STP) | solid (at STP) melting point | -41.6 °C | 648 °C | -259.2 °C | 88.9 °C boiling point | 83 °C | 1090 °C | -252.8 °C | 330 °C density | 1.5129 g/cm^3 | 1.738 g/cm^3 | 8.99×10^-5 g/cm^3 (at 0 °C) | 1.2051 g/cm^3 solubility in water | miscible | reacts | | dynamic viscosity | 7.6×10^-4 Pa s (at 25 °C) | | 8.9×10^-6 Pa s (at 25 °C) | odor | | | odorless |