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H2O + KMnO4 + MnSO4 = H2SO4 + MnO2 + KHSO4

Input interpretation

water + potassium permanganate + manganese(II) sulfate ⟶ sulfuric acid + manganese dioxide + potassium bisulfate
water + potassium permanganate + manganese(II) sulfate ⟶ sulfuric acid + manganese dioxide + potassium bisulfate

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 = 2 c_4 + c_6 O: | c_1 + 4 c_2 + 4 c_3 = 4 c_4 + 2 c_5 + 4 c_6 K: | c_2 = c_6 Mn: | c_2 + c_3 = c_5 S: | c_3 = c_4 + 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_4 = 1 and solve the system of equations for the remaining coefficients: c_1 = 2 c_2 = 2 c_3 = 3 c_4 = 1 c_5 = 5 c_6 = 2 Substitute the coefficients into the chemical reaction to obtain the balanced equation: Answer: |   | 2 + 2 + 3 ⟶ + 5 + 2
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 = 2 c_4 + c_6 O: | c_1 + 4 c_2 + 4 c_3 = 4 c_4 + 2 c_5 + 4 c_6 K: | c_2 = c_6 Mn: | c_2 + c_3 = c_5 S: | c_3 = c_4 + 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_4 = 1 and solve the system of equations for the remaining coefficients: c_1 = 2 c_2 = 2 c_3 = 3 c_4 = 1 c_5 = 5 c_6 = 2 Substitute the coefficients into the chemical reaction to obtain the balanced equation: Answer: | | 2 + 2 + 3 ⟶ + 5 + 2

Structures

 + + ⟶ + +
+ + ⟶ + +

Names

water + potassium permanganate + manganese(II) sulfate ⟶ sulfuric acid + manganese dioxide + potassium bisulfate
water + potassium permanganate + manganese(II) sulfate ⟶ sulfuric acid + manganese dioxide + potassium bisulfate

Chemical names and formulas

 | water | potassium permanganate | manganese(II) sulfate | sulfuric acid | manganese dioxide | potassium bisulfate Hill formula | H_2O | KMnO_4 | MnO_4S | H_2O_4S | MnO_2 | HKO_4S name | water | potassium permanganate | manganese(II) sulfate | sulfuric acid | manganese dioxide | potassium bisulfate IUPAC name | water | potassium permanganate | manganese(+2) cation sulfate | sulfuric acid | dioxomanganese | potassium hydrogen sulfate
| water | potassium permanganate | manganese(II) sulfate | sulfuric acid | manganese dioxide | potassium bisulfate Hill formula | H_2O | KMnO_4 | MnO_4S | H_2O_4S | MnO_2 | HKO_4S name | water | potassium permanganate | manganese(II) sulfate | sulfuric acid | manganese dioxide | potassium bisulfate IUPAC name | water | potassium permanganate | manganese(+2) cation sulfate | sulfuric acid | dioxomanganese | potassium hydrogen sulfate