Input interpretation
![sulfuric acid + potassium permanganate + phosphorous acid ⟶ water + potassium sulfate + manganese(II) sulfate + phosphoric acid](../image_source/5e193e377005b47c82ed1c0d37c72a78.png)
sulfuric acid + potassium permanganate + phosphorous acid ⟶ water + potassium sulfate + manganese(II) sulfate + phosphoric acid
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 P: 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 P: | 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](../image_source/7de651473eb547183dd21fede8172b62.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 + 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 P: 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 P: | 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
![+ + ⟶ + + +](../image_source/45cf4b83870fe1f35c84c784345be366.png)
+ + ⟶ + + +
Names
![sulfuric acid + potassium permanganate + phosphorous acid ⟶ water + potassium sulfate + manganese(II) sulfate + phosphoric acid](../image_source/d08758a4d7a1a96e667096354388d207.png)
sulfuric acid + potassium permanganate + phosphorous acid ⟶ water + potassium sulfate + manganese(II) sulfate + phosphoric acid
Chemical names and formulas
![| sulfuric acid | potassium permanganate | phosphorous acid | water | potassium sulfate | manganese(II) sulfate | phosphoric acid Hill formula | H_2O_4S | KMnO_4 | H_3O_3P | H_2O | K_2O_4S | MnO_4S | H_3O_4P name | sulfuric acid | potassium permanganate | phosphorous acid | water | potassium sulfate | manganese(II) sulfate | phosphoric acid IUPAC name | sulfuric acid | potassium permanganate | phosphorous acid | water | dipotassium sulfate | manganese(+2) cation sulfate | phosphoric acid](../image_source/c325547741aa55f3f4148e0ef2319b7b.png)
| sulfuric acid | potassium permanganate | phosphorous acid | water | potassium sulfate | manganese(II) sulfate | phosphoric acid Hill formula | H_2O_4S | KMnO_4 | H_3O_3P | H_2O | K_2O_4S | MnO_4S | H_3O_4P name | sulfuric acid | potassium permanganate | phosphorous acid | water | potassium sulfate | manganese(II) sulfate | phosphoric acid IUPAC name | sulfuric acid | potassium permanganate | phosphorous acid | water | dipotassium sulfate | manganese(+2) cation sulfate | phosphoric acid