Input interpretation
sulfuric acid + potassium permanganate + arsenious acid ⟶ water + potassium sulfate + manganese(II) sulfate + arsenic acid, solid
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 H, O, S, K, Mn and As: H: | 2 c_1 + 3 c_3 = 2 c_4 + 3 c_7 O: | 4 c_1 + 4 c_2 + 3 c_3 = c_4 + 4 c_5 + 4 c_6 + 4 c_7 S: | c_1 = c_5 + c_6 K: | c_2 = 2 c_5 Mn: | c_2 = c_6 As: | c_3 = c_7 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_5 = 1 and solve the system of equations for the remaining coefficients: c_1 = 3 c_2 = 2 c_3 = 5 c_4 = 3 c_5 = 1 c_6 = 2 c_7 = 5 Substitute the coefficients into the chemical reaction to obtain the balanced equation: Answer: | | 3 + 2 + 5 ⟶ 3 + + 2 + 5
Structures
+ + ⟶ + + +
Names
sulfuric acid + potassium permanganate + arsenious acid ⟶ water + potassium sulfate + manganese(II) sulfate + arsenic acid, solid
Chemical names and formulas
| sulfuric acid | potassium permanganate | arsenious acid | water | potassium sulfate | manganese(II) sulfate | arsenic acid, solid Hill formula | H_2O_4S | KMnO_4 | AsH_3O_3 | H_2O | K_2O_4S | MnO_4S | AsH_3O_4 name | sulfuric acid | potassium permanganate | arsenious acid | water | potassium sulfate | manganese(II) sulfate | arsenic acid, solid IUPAC name | sulfuric acid | potassium permanganate | arsorous acid | water | dipotassium sulfate | manganese(+2) cation sulfate | arsoric acid