Input interpretation
potassium hydroxide + potassium permanganate + chromium sulfate ⟶ water + potassium sulfate + potassium manganate + potassium chromate
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, K, O, Mn, Cr and S: H: | c_1 = 2 c_4 K: | c_1 + c_2 = 2 c_5 + 2 c_6 + 2 c_7 O: | c_1 + 4 c_2 + 12 c_3 = c_4 + 4 c_5 + 4 c_6 + 4 c_7 Mn: | c_2 = c_6 Cr: | 2 c_3 = c_7 S: | 3 c_3 = c_5 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_3 = 1 and solve the system of equations for the remaining coefficients: c_1 = 16 c_2 = 6 c_3 = 1 c_4 = 8 c_5 = 3 c_6 = 6 c_7 = 2 Substitute the coefficients into the chemical reaction to obtain the balanced equation: Answer: | | 16 + 6 + ⟶ 8 + 3 + 6 + 2
Structures
+ + ⟶ + + +
Names
potassium hydroxide + potassium permanganate + chromium sulfate ⟶ water + potassium sulfate + potassium manganate + potassium chromate
Chemical names and formulas
| potassium hydroxide | potassium permanganate | chromium sulfate | water | potassium sulfate | potassium manganate | potassium chromate Hill formula | HKO | KMnO_4 | Cr_2O_12S_3 | H_2O | K_2O_4S | K_2MnO_4 | CrK_2O_4 name | potassium hydroxide | potassium permanganate | chromium sulfate | water | potassium sulfate | potassium manganate | potassium chromate IUPAC name | potassium hydroxide | potassium permanganate | chromium(+3) cation trisulfate | water | dipotassium sulfate | dipotassium dioxido-dioxomanganese | dipotassium dioxido-dioxochromium