Mg + B2O3 = MgO + B

Mg (magnesium) + B_2O_3 (boron oxide) ⟶ MgO (magnesium oxide) + B (boron)

Balance the chemical equation algebraically: Mg + B_2O_3 ⟶ MgO + B Add stoichiometric coefficients, c_i, to the reactants and products: c_1 Mg + c_2 B_2O_3 ⟶ c_3 MgO + c_4 B Set the number of atoms in the reactants equal to the number of atoms in the products for Mg, B and O: Mg: | c_1 = c_3 B: | 2 c_2 = c_4 O: | 3 c_2 = c_3 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 = 3 c_2 = 1 c_3 = 3 c_4 = 2 Substitute the coefficients into the chemical reaction to obtain the balanced equation: Answer: | | 3 Mg + B_2O_3 ⟶ 3 MgO + 2 B

+ ⟶ +

magnesium + boron oxide ⟶ magnesium oxide + boron

| magnesium | boron oxide | magnesium oxide | boron molecular enthalpy | 0 kJ/mol | -1274 kJ/mol | -601.6 kJ/mol | 0 kJ/mol total enthalpy | 0 kJ/mol | -1274 kJ/mol | -1805 kJ/mol | 0 kJ/mol | H_initial = -1274 kJ/mol | | H_final = -1805 kJ/mol | ΔH_rxn^0 | -1805 kJ/mol - -1274 kJ/mol = -531.3 kJ/mol (exothermic) | | |

K_c = ([MgO]^3 [B]^2)/([Mg]^3 [B2O3])

rate = -1/3 (Δ[Mg])/(Δt) = -(Δ[B2O3])/(Δt) = 1/3 (Δ[MgO])/(Δt) = 1/2 (Δ[B])/(Δt) (assuming constant volume and no accumulation of intermediates or side products)

| magnesium | boron oxide | magnesium oxide | boron formula | Mg | B_2O_3 | MgO | B name | magnesium | boron oxide | magnesium oxide | boron IUPAC name | magnesium | | oxomagnesium | boron

| magnesium | boron oxide | magnesium oxide | boron molar mass | 24.305 g/mol | 69.62 g/mol | 40.304 g/mol | 10.81 g/mol phase | solid (at STP) | solid (at STP) | solid (at STP) | solid (at STP) melting point | 648 °C | 450 °C | 2852 °C | 2075 °C boiling point | 1090 °C | 1860 °C | 3600 °C | 4000 °C density | 1.738 g/cm^3 | 2.46 g/cm^3 | 3.58 g/cm^3 | 2.34 g/cm^3 solubility in water | reacts | | | insoluble dynamic viscosity | | 85 Pa s (at 700 °C) | | odor | | | odorless |