Input interpretation
potassium hydroxide + hydrogen peroxide + manganese(II) chloride ⟶ water + chlorine + potassium chloride + manganese dioxide
Balanced equation
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 + c_7 Set the number of atoms in the reactants equal to the number of atoms in the products for H, K, O, Cl and Mn: H: | c_1 + 2 c_2 = 2 c_4 K: | c_1 = c_6 O: | c_1 + 2 c_2 = c_4 + 2 c_7 Cl: | 2 c_3 = 2 c_5 + c_6 Mn: | c_3 = c_7 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_5 = 1 and solve the system of equations for the remaining coefficients: c_2 = c_1/2 + 2 c_3 = c_1/2 + 1 c_4 = c_1 + 2 c_5 = 1 c_6 = c_1 c_7 = c_1/2 + 1 The resulting system of equations is still underdetermined, so an additional coefficient must be set arbitrarily. Set c_1 = 2 and solve for the remaining coefficients: c_1 = 2 c_2 = 3 c_3 = 2 c_4 = 4 c_5 = 1 c_6 = 2 c_7 = 2 Substitute the coefficients into the chemical reaction to obtain the balanced equation: Answer: | | 2 + 3 + 2 ⟶ 4 + + 2 + 2
Structures
+ + ⟶ + + +
Names
potassium hydroxide + hydrogen peroxide + manganese(II) chloride ⟶ water + chlorine + potassium chloride + manganese dioxide
Reaction thermodynamics
Gibbs free energy
| potassium hydroxide | hydrogen peroxide | manganese(II) chloride | water | chlorine | potassium chloride | manganese dioxide molecular free energy | -379.4 kJ/mol | -120.4 kJ/mol | -440.5 kJ/mol | -237.1 kJ/mol | 0 kJ/mol | -408.5 kJ/mol | -465.1 kJ/mol total free energy | -758.8 kJ/mol | -361.2 kJ/mol | -881 kJ/mol | -948.4 kJ/mol | 0 kJ/mol | -817 kJ/mol | -930.2 kJ/mol | G_initial = -2001 kJ/mol | | | G_final = -2696 kJ/mol | | | ΔG_rxn^0 | -2696 kJ/mol - -2001 kJ/mol = -694.6 kJ/mol (exergonic) | | | | | |
Chemical names and formulas
| potassium hydroxide | hydrogen peroxide | manganese(II) chloride | water | chlorine | potassium chloride | manganese dioxide Hill formula | HKO | H_2O_2 | Cl_2Mn | H_2O | Cl_2 | ClK | MnO_2 name | potassium hydroxide | hydrogen peroxide | manganese(II) chloride | water | chlorine | potassium chloride | manganese dioxide IUPAC name | potassium hydroxide | hydrogen peroxide | dichloromanganese | water | molecular chlorine | potassium chloride | dioxomanganese