Input interpretation
carbon dioxide + potassium manganate ⟶ potassium permanganate + manganese dioxide + pearl ash
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 Set the number of atoms in the reactants equal to the number of atoms in the products for C, O, K and Mn: C: | c_1 = c_5 O: | 2 c_1 + 4 c_2 = 4 c_3 + 2 c_4 + 3 c_5 K: | 2 c_2 = c_3 + 2 c_5 Mn: | c_2 = c_3 + c_4 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 = 3 c_3 = 2 c_4 = 1 c_5 = 2 Substitute the coefficients into the chemical reaction to obtain the balanced equation: Answer: | | 2 + 3 ⟶ 2 + + 2
Structures
+ ⟶ + +
Names
carbon dioxide + potassium manganate ⟶ potassium permanganate + manganese dioxide + pearl ash
Chemical names and formulas
| carbon dioxide | potassium manganate | potassium permanganate | manganese dioxide | pearl ash Hill formula | CO_2 | K_2MnO_4 | KMnO_4 | MnO_2 | CK_2O_3 name | carbon dioxide | potassium manganate | potassium permanganate | manganese dioxide | pearl ash IUPAC name | carbon dioxide | dipotassium dioxido-dioxomanganese | potassium permanganate | dioxomanganese | dipotassium carbonate