O2 + MnO2 + K2CO3 = CO2 + K2MnO4

oxygen + manganese dioxide + pearl ash ⟶ carbon dioxide + potassium manganate

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 O, Mn, C and K: O: | 2 c_1 + 2 c_2 + 3 c_3 = 2 c_4 + 4 c_5 Mn: | c_2 = c_5 C: | c_3 = c_4 K: | 2 c_3 = 2 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_1 = 1 and solve the system of equations for the remaining coefficients: c_1 = 1 c_2 = 2 c_3 = 2 c_4 = 2 c_5 = 2 Substitute the coefficients into the chemical reaction to obtain the balanced equation: Answer: | | + 2 + 2 ⟶ 2 + 2

+ + ⟶ +

oxygen + manganese dioxide + pearl ash ⟶ carbon dioxide + potassium manganate

| oxygen | manganese dioxide | pearl ash | carbon dioxide | potassium manganate Hill formula | O_2 | MnO_2 | CK_2O_3 | CO_2 | K_2MnO_4 name | oxygen | manganese dioxide | pearl ash | carbon dioxide | potassium manganate IUPAC name | molecular oxygen | dioxomanganese | dipotassium carbonate | carbon dioxide | dipotassium dioxido-dioxomanganese