Input interpretation
![water + potassium permanganate + potassium sulfite ⟶ potassium sulfate + potassium hydroxide + manganese dioxide](../image_source/f67a8446fe451e05018315fba99f73b0.png)
water + potassium permanganate + potassium sulfite ⟶ potassium sulfate + potassium hydroxide + 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, O, K, Mn and S: H: | 2 c_1 = c_5 O: | c_1 + 4 c_2 + 3 c_3 = 4 c_4 + c_5 + 2 c_6 K: | c_2 + 2 c_3 = 2 c_4 + c_5 Mn: | c_2 = c_6 S: | c_3 = c_4 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 = 2 c_3 = 3 c_4 = 3 c_5 = 2 c_6 = 2 Substitute the coefficients into the chemical reaction to obtain the balanced equation: Answer: | | + 2 + 3 ⟶ 3 + 2 + 2](../image_source/6ec4ccb456df965f5b47cff8d417695e.png)
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, K, Mn and S: H: | 2 c_1 = c_5 O: | c_1 + 4 c_2 + 3 c_3 = 4 c_4 + c_5 + 2 c_6 K: | c_2 + 2 c_3 = 2 c_4 + c_5 Mn: | c_2 = c_6 S: | c_3 = c_4 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 = 2 c_3 = 3 c_4 = 3 c_5 = 2 c_6 = 2 Substitute the coefficients into the chemical reaction to obtain the balanced equation: Answer: | | + 2 + 3 ⟶ 3 + 2 + 2
Structures
![+ + ⟶ + +](../image_source/ad16531298f535c7f46322c025252e22.png)
+ + ⟶ + +
Names
![water + potassium permanganate + potassium sulfite ⟶ potassium sulfate + potassium hydroxide + manganese dioxide](../image_source/343597f09c43caf50b4547fe9a44af0a.png)
water + potassium permanganate + potassium sulfite ⟶ potassium sulfate + potassium hydroxide + manganese dioxide
Chemical names and formulas
![| water | potassium permanganate | potassium sulfite | potassium sulfate | potassium hydroxide | manganese dioxide Hill formula | H_2O | KMnO_4 | K_2O_3S | K_2O_4S | HKO | MnO_2 name | water | potassium permanganate | potassium sulfite | potassium sulfate | potassium hydroxide | manganese dioxide IUPAC name | water | potassium permanganate | dipotassium sulfite | dipotassium sulfate | potassium hydroxide | dioxomanganese](../image_source/c8e09229d03871c45a7c4996db1e8422.png)
| water | potassium permanganate | potassium sulfite | potassium sulfate | potassium hydroxide | manganese dioxide Hill formula | H_2O | KMnO_4 | K_2O_3S | K_2O_4S | HKO | MnO_2 name | water | potassium permanganate | potassium sulfite | potassium sulfate | potassium hydroxide | manganese dioxide IUPAC name | water | potassium permanganate | dipotassium sulfite | dipotassium sulfate | potassium hydroxide | dioxomanganese