HCl + KBr + KBrO3 = H2O + KCl + Br2

hydrogen chloride + potassium bromide + potassium bromate ⟶ water + potassium chloride + bromine

Balance the chemical equation algebraically: + + ⟶ + + Add stoichiometric coefficients, c_i, to the reactants and products: c_1 + c_2 + c_3 ⟶ c_4 + c_5 + c_6 Set the number of atoms in the reactants equal to the number of atoms in the products for Cl, H, Br, K and O: Cl: | c_1 = c_5 H: | c_1 = 2 c_4 Br: | c_2 + c_3 = 2 c_6 K: | c_2 + c_3 = c_5 O: | 3 c_3 = 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_3 = 1 and solve the system of equations for the remaining coefficients: c_1 = 6 c_2 = 5 c_3 = 1 c_4 = 3 c_5 = 6 c_6 = 3 Substitute the coefficients into the chemical reaction to obtain the balanced equation: Answer: | | 6 + 5 + ⟶ 3 + 6 + 3

+ + ⟶ + +

hydrogen chloride + potassium bromide + potassium bromate ⟶ water + potassium chloride + bromine

| hydrogen chloride | potassium bromide | potassium bromate | water | potassium chloride | bromine molecular enthalpy | -92.3 kJ/mol | -393.8 kJ/mol | -360.2 kJ/mol | -285.8 kJ/mol | -436.5 kJ/mol | 0 kJ/mol total enthalpy | -553.8 kJ/mol | -1969 kJ/mol | -360.2 kJ/mol | -857.5 kJ/mol | -2619 kJ/mol | 0 kJ/mol | H_initial = -2883 kJ/mol | | | H_final = -3476 kJ/mol | | ΔH_rxn^0 | -3476 kJ/mol - -2883 kJ/mol = -593.5 kJ/mol (exothermic) | | | | |

| hydrogen chloride | potassium bromide | potassium bromate | water | potassium chloride | bromine molecular free energy | -95.3 kJ/mol | -380.7 kJ/mol | -2712 kJ/mol | -237.1 kJ/mol | -408.5 kJ/mol | 0 kJ/mol total free energy | -571.8 kJ/mol | -1904 kJ/mol | -2712 kJ/mol | -711.3 kJ/mol | -2451 kJ/mol | 0 kJ/mol | G_initial = -5187 kJ/mol | | | G_final = -3162 kJ/mol | | ΔG_rxn^0 | -3162 kJ/mol - -5187 kJ/mol = 2025 kJ/mol (endergonic) | | | | |

| hydrogen chloride | potassium bromide | potassium bromate | water | potassium chloride | bromine Hill formula | ClH | BrK | BrKO_3 | H_2O | ClK | Br_2 name | hydrogen chloride | potassium bromide | potassium bromate | water | potassium chloride | bromine IUPAC name | hydrogen chloride | potassium bromide | potassium bromate | water | potassium chloride | molecular bromine