Input interpretation
![sulfuric acid + hydrogen chloride + potassium permanganate ⟶ water + chlorine + potassium sulfate + manganese(II) sulfate](../image_source/204c28b8eaeff5f763aa55597a953054.png)
sulfuric acid + hydrogen chloride + potassium permanganate ⟶ water + chlorine + potassium sulfate + manganese(II) sulfate
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, Cl, K and Mn: H: | 2 c_1 + c_2 = 2 c_4 O: | 4 c_1 + 4 c_3 = c_4 + 4 c_6 + 4 c_7 S: | c_1 = c_6 + c_7 Cl: | c_2 = 2 c_5 K: | c_3 = 2 c_6 Mn: | 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_6 = 1 and solve the system of equations for the remaining coefficients: c_1 = 3 c_2 = 10 c_3 = 2 c_4 = 8 c_5 = 5 c_6 = 1 c_7 = 2 Substitute the coefficients into the chemical reaction to obtain the balanced equation: Answer: | | 3 + 10 + 2 ⟶ 8 + 5 + + 2](../image_source/dae8a04ca21937b7f447d327a3b89b3b.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, Cl, K and Mn: H: | 2 c_1 + c_2 = 2 c_4 O: | 4 c_1 + 4 c_3 = c_4 + 4 c_6 + 4 c_7 S: | c_1 = c_6 + c_7 Cl: | c_2 = 2 c_5 K: | c_3 = 2 c_6 Mn: | 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_6 = 1 and solve the system of equations for the remaining coefficients: c_1 = 3 c_2 = 10 c_3 = 2 c_4 = 8 c_5 = 5 c_6 = 1 c_7 = 2 Substitute the coefficients into the chemical reaction to obtain the balanced equation: Answer: | | 3 + 10 + 2 ⟶ 8 + 5 + + 2
Structures
![+ + ⟶ + + +](../image_source/a6ea3b69dce687f1502b71b34834fd77.png)
+ + ⟶ + + +
Names
![sulfuric acid + hydrogen chloride + potassium permanganate ⟶ water + chlorine + potassium sulfate + manganese(II) sulfate](../image_source/1917020eaf067a3ed7dd3bf874a11000.png)
sulfuric acid + hydrogen chloride + potassium permanganate ⟶ water + chlorine + potassium sulfate + manganese(II) sulfate
Chemical names and formulas
![| sulfuric acid | hydrogen chloride | potassium permanganate | water | chlorine | potassium sulfate | manganese(II) sulfate Hill formula | H_2O_4S | ClH | KMnO_4 | H_2O | Cl_2 | K_2O_4S | MnO_4S name | sulfuric acid | hydrogen chloride | potassium permanganate | water | chlorine | potassium sulfate | manganese(II) sulfate IUPAC name | sulfuric acid | hydrogen chloride | potassium permanganate | water | molecular chlorine | dipotassium sulfate | manganese(+2) cation sulfate](../image_source/3e60de2d7bfbb736f8f3f97ff8af4bc4.png)
| sulfuric acid | hydrogen chloride | potassium permanganate | water | chlorine | potassium sulfate | manganese(II) sulfate Hill formula | H_2O_4S | ClH | KMnO_4 | H_2O | Cl_2 | K_2O_4S | MnO_4S name | sulfuric acid | hydrogen chloride | potassium permanganate | water | chlorine | potassium sulfate | manganese(II) sulfate IUPAC name | sulfuric acid | hydrogen chloride | potassium permanganate | water | molecular chlorine | dipotassium sulfate | manganese(+2) cation sulfate