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KMnO4 + Na2CO3 + CrCl3 = CO2 + NaCl + KCl + MnO2 + Na2CrO4

Input interpretation

potassium permanganate + soda ash + chromic chloride ⟶ carbon dioxide + sodium chloride + potassium chloride + manganese dioxide + sodium chromate
potassium permanganate + soda ash + chromic chloride ⟶ carbon dioxide + sodium chloride + potassium chloride + manganese dioxide + sodium 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 + c_8  Set the number of atoms in the reactants equal to the number of atoms in the products for K, Mn, O, C, Na, Cl and Cr: K: | c_1 = c_6 Mn: | c_1 = c_7 O: | 4 c_1 + 3 c_2 = 2 c_4 + 2 c_7 + 4 c_8 C: | c_2 = c_4 Na: | 2 c_2 = c_5 + 2 c_8 Cl: | 3 c_3 = c_5 + c_6 Cr: | c_3 = c_8 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 = 1 c_4 = 2 c_5 = 2 c_6 = 1 c_7 = 1 c_8 = 1 Substitute the coefficients into the chemical reaction to obtain the balanced equation: Answer: |   | + 2 + ⟶ 2 + 2 + + +
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 + c_8 Set the number of atoms in the reactants equal to the number of atoms in the products for K, Mn, O, C, Na, Cl and Cr: K: | c_1 = c_6 Mn: | c_1 = c_7 O: | 4 c_1 + 3 c_2 = 2 c_4 + 2 c_7 + 4 c_8 C: | c_2 = c_4 Na: | 2 c_2 = c_5 + 2 c_8 Cl: | 3 c_3 = c_5 + c_6 Cr: | c_3 = c_8 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 = 1 c_4 = 2 c_5 = 2 c_6 = 1 c_7 = 1 c_8 = 1 Substitute the coefficients into the chemical reaction to obtain the balanced equation: Answer: | | + 2 + ⟶ 2 + 2 + + +

Structures

 + + ⟶ + + + +
+ + ⟶ + + + +

Names

potassium permanganate + soda ash + chromic chloride ⟶ carbon dioxide + sodium chloride + potassium chloride + manganese dioxide + sodium chromate
potassium permanganate + soda ash + chromic chloride ⟶ carbon dioxide + sodium chloride + potassium chloride + manganese dioxide + sodium chromate

Chemical names and formulas

 | potassium permanganate | soda ash | chromic chloride | carbon dioxide | sodium chloride | potassium chloride | manganese dioxide | sodium chromate Hill formula | KMnO_4 | CNa_2O_3 | Cl_3Cr | CO_2 | ClNa | ClK | MnO_2 | CrNa_2O_4 name | potassium permanganate | soda ash | chromic chloride | carbon dioxide | sodium chloride | potassium chloride | manganese dioxide | sodium chromate IUPAC name | potassium permanganate | disodium carbonate | trichlorochromium | carbon dioxide | sodium chloride | potassium chloride | dioxomanganese | disodium dioxido(dioxo)chromium
| potassium permanganate | soda ash | chromic chloride | carbon dioxide | sodium chloride | potassium chloride | manganese dioxide | sodium chromate Hill formula | KMnO_4 | CNa_2O_3 | Cl_3Cr | CO_2 | ClNa | ClK | MnO_2 | CrNa_2O_4 name | potassium permanganate | soda ash | chromic chloride | carbon dioxide | sodium chloride | potassium chloride | manganese dioxide | sodium chromate IUPAC name | potassium permanganate | disodium carbonate | trichlorochromium | carbon dioxide | sodium chloride | potassium chloride | dioxomanganese | disodium dioxido(dioxo)chromium