Input interpretation
potassium hydroxide + potassium permanganate + sulfur dioxide ⟶ water + potassium sulfate + 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 Set the number of atoms in the reactants equal to the number of atoms in the products for H, K, O, Mn and S: H: | c_1 = 2 c_4 K: | c_1 + c_2 = 2 c_5 O: | c_1 + 4 c_2 + 2 c_3 = c_4 + 4 c_5 + 2 c_6 Mn: | c_2 = c_6 S: | c_3 = 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_2 = 1 and solve the system of equations for the remaining coefficients: c_1 = 2 c_2 = 1 c_3 = 3/2 c_4 = 1 c_5 = 3/2 c_6 = 1 Multiply by the least common denominator, 2, to eliminate fractional coefficients: c_1 = 4 c_2 = 2 c_3 = 3 c_4 = 2 c_5 = 3 c_6 = 2 Substitute the coefficients into the chemical reaction to obtain the balanced equation: Answer: | | 4 + 2 + 3 ⟶ 2 + 3 + 2
Structures
+ + ⟶ + +
Names
potassium hydroxide + potassium permanganate + sulfur dioxide ⟶ water + potassium sulfate + manganese dioxide
Chemical names and formulas
| potassium hydroxide | potassium permanganate | sulfur dioxide | water | potassium sulfate | manganese dioxide Hill formula | HKO | KMnO_4 | O_2S | H_2O | K_2O_4S | MnO_2 name | potassium hydroxide | potassium permanganate | sulfur dioxide | water | potassium sulfate | manganese dioxide IUPAC name | potassium hydroxide | potassium permanganate | sulfur dioxide | water | dipotassium sulfate | dioxomanganese