H2O + Na2SO4 + NaI = NaOH + I2 + Na2SO3

water + sodium sulfate + sodium iodide ⟶ sodium hydroxide + iodine + sodium sulfite

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 H, O, Na, S and I: H: | 2 c_1 = c_4 O: | c_1 + 4 c_2 = c_4 + 3 c_6 Na: | 2 c_2 + c_3 = c_4 + 2 c_6 S: | c_2 = c_6 I: | c_3 = 2 c_5 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_1 = 1 and solve the system of equations for the remaining coefficients: c_1 = 1 c_2 = 1 c_3 = 2 c_4 = 2 c_5 = 1 c_6 = 1 Substitute the coefficients into the chemical reaction to obtain the balanced equation: Answer: | | + + 2 ⟶ 2 + +

+ + ⟶ + +

water + sodium sulfate + sodium iodide ⟶ sodium hydroxide + iodine + sodium sulfite

| water | sodium sulfate | sodium iodide | sodium hydroxide | iodine | sodium sulfite molecular enthalpy | -285.8 kJ/mol | -1387 kJ/mol | -287.8 kJ/mol | -425.8 kJ/mol | 0 kJ/mol | -1101 kJ/mol total enthalpy | -285.8 kJ/mol | -1387 kJ/mol | -575.6 kJ/mol | -851.6 kJ/mol | 0 kJ/mol | -1101 kJ/mol | H_initial = -2249 kJ/mol | | | H_final = -1952 kJ/mol | | ΔH_rxn^0 | -1952 kJ/mol - -2249 kJ/mol = 296.1 kJ/mol (endothermic) | | | | |

| water | sodium sulfate | sodium iodide | sodium hydroxide | iodine | sodium sulfite molecular free energy | -237.1 kJ/mol | -1270 kJ/mol | -286.1 kJ/mol | -379.7 kJ/mol | 0 kJ/mol | -10125 kJ/mol total free energy | -237.1 kJ/mol | -1270 kJ/mol | -572.2 kJ/mol | -759.4 kJ/mol | 0 kJ/mol | -10125 kJ/mol | G_initial = -2080 kJ/mol | | | G_final = -10884 kJ/mol | | ΔG_rxn^0 | -10884 kJ/mol - -2080 kJ/mol = -8805 kJ/mol (exergonic) | | | | |

| water | sodium sulfate | sodium iodide | sodium hydroxide | iodine | sodium sulfite Hill formula | H_2O | Na_2O_4S | INa | HNaO | I_2 | Na_2O_3S name | water | sodium sulfate | sodium iodide | sodium hydroxide | iodine | sodium sulfite IUPAC name | water | disodium sulfate | sodium iodide | sodium hydroxide | molecular iodine | disodium sulfite