Input interpretation
hydrogen chloride + potassium permanganate + hydrogen peroxide ⟶ water + oxygen + potassium chloride + manganese(II) chloride
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 Cl, H, K, Mn and O: Cl: | c_1 = c_6 + 2 c_7 H: | c_1 + 2 c_3 = 2 c_4 K: | c_2 = c_6 Mn: | c_2 = c_7 O: | 4 c_2 + 2 c_3 = c_4 + 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_3 = 1 and solve the system of equations for the remaining coefficients: c_2 = c_1/3 c_3 = 1 c_4 = c_1/2 + 1 c_5 = (5 c_1)/12 + 1/2 c_6 = c_1/3 c_7 = c_1/3 The resulting system of equations is still underdetermined, so an additional coefficient must be set arbitrarily. Set c_1 = 6 and solve for the remaining coefficients: c_1 = 6 c_2 = 2 c_3 = 1 c_4 = 4 c_5 = 3 c_6 = 2 c_7 = 2 Substitute the coefficients into the chemical reaction to obtain the balanced equation: Answer: | | 6 + 2 + ⟶ 4 + 3 + 2 + 2
Structures
+ + ⟶ + + +
Names
hydrogen chloride + potassium permanganate + hydrogen peroxide ⟶ water + oxygen + potassium chloride + manganese(II) chloride
Reaction thermodynamics
Gibbs free energy
| hydrogen chloride | potassium permanganate | hydrogen peroxide | water | oxygen | potassium chloride | manganese(II) chloride molecular free energy | -95.3 kJ/mol | -737.6 kJ/mol | -120.4 kJ/mol | -237.1 kJ/mol | 231.7 kJ/mol | -408.5 kJ/mol | -440.5 kJ/mol total free energy | -571.8 kJ/mol | -1475 kJ/mol | -120.4 kJ/mol | -948.4 kJ/mol | 695.1 kJ/mol | -817 kJ/mol | -881 kJ/mol | G_initial = -2167 kJ/mol | | | G_final = -1951 kJ/mol | | | ΔG_rxn^0 | -1951 kJ/mol - -2167 kJ/mol = 216.1 kJ/mol (endergonic) | | | | | |
Chemical names and formulas
| hydrogen chloride | potassium permanganate | hydrogen peroxide | water | oxygen | potassium chloride | manganese(II) chloride Hill formula | ClH | KMnO_4 | H_2O_2 | H_2O | O_2 | ClK | Cl_2Mn name | hydrogen chloride | potassium permanganate | hydrogen peroxide | water | oxygen | potassium chloride | manganese(II) chloride IUPAC name | hydrogen chloride | potassium permanganate | hydrogen peroxide | water | molecular oxygen | potassium chloride | dichloromanganese