Input interpretation
potassium hydroxide + potassium permanganate + hydrogen peroxide ⟶ water + oxygen + potassium manganate
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 Set the number of atoms in the reactants equal to the number of atoms in the products for H, K, O and Mn: H: | c_1 + 2 c_3 = 2 c_4 K: | c_1 + c_2 = 2 c_6 O: | c_1 + 4 c_2 + 2 c_3 = c_4 + 2 c_5 + 4 c_6 Mn: | c_2 = c_6 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 c_3 = 1 c_4 = c_1/2 + 1 c_5 = c_1/4 + 1/2 c_6 = c_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 = 2 c_3 = 1 c_4 = 2 c_5 = 1 c_6 = 2 Substitute the coefficients into the chemical reaction to obtain the balanced equation: Answer: | | 2 + 2 + ⟶ 2 + + 2
Structures
+ + ⟶ + +
Names
potassium hydroxide + potassium permanganate + hydrogen peroxide ⟶ water + oxygen + potassium manganate
Chemical names and formulas
| potassium hydroxide | potassium permanganate | hydrogen peroxide | water | oxygen | potassium manganate Hill formula | HKO | KMnO_4 | H_2O_2 | H_2O | O_2 | K_2MnO_4 name | potassium hydroxide | potassium permanganate | hydrogen peroxide | water | oxygen | potassium manganate IUPAC name | potassium hydroxide | potassium permanganate | hydrogen peroxide | water | molecular oxygen | dipotassium dioxido-dioxomanganese