KOH + KClO3 + MnCl2 = H2O + KCl + K2MnO4

KOH potassium hydroxide + KClO_3 potassium chlorate + MnCl_2 manganese(II) chloride ⟶ H_2O water + KCl potassium chloride + K_2MnO_4 potassium manganate

Balance the chemical equation algebraically: KOH + KClO_3 + MnCl_2 ⟶ H_2O + KCl + K_2MnO_4 Add stoichiometric coefficients, c_i, to the reactants and products: c_1 KOH + c_2 KClO_3 + c_3 MnCl_2 ⟶ c_4 H_2O + c_5 KCl + c_6 K_2MnO_4 Set the number of atoms in the reactants equal to the number of atoms in the products for H, K, O, Cl and Mn: H: | c_1 = 2 c_4 K: | c_1 + c_2 = c_5 + 2 c_6 O: | c_1 + 3 c_2 = c_4 + 4 c_6 Cl: | c_2 + 2 c_3 = c_5 Mn: | c_3 = c_6 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_2 = 1 and solve the system of equations for the remaining coefficients: c_1 = 6 c_2 = 1 c_3 = 3/2 c_4 = 3 c_5 = 4 c_6 = 3/2 Multiply by the least common denominator, 2, to eliminate fractional coefficients: c_1 = 12 c_2 = 2 c_3 = 3 c_4 = 6 c_5 = 8 c_6 = 3 Substitute the coefficients into the chemical reaction to obtain the balanced equation: Answer: | | 12 KOH + 2 KClO_3 + 3 MnCl_2 ⟶ 6 H_2O + 8 KCl + 3 K_2MnO_4

+ + ⟶ + +

potassium hydroxide + potassium chlorate + manganese(II) chloride ⟶ water + potassium chloride + potassium manganate

K_c = ([H2O]^6 [KCl]^8 [K2MnO4]^3)/([KOH]^12 [KClO3]^2 [MnCl2]^3)

rate = -1/12 (Δ[KOH])/(Δt) = -1/2 (Δ[KClO3])/(Δt) = -1/3 (Δ[MnCl2])/(Δt) = 1/6 (Δ[H2O])/(Δt) = 1/8 (Δ[KCl])/(Δt) = 1/3 (Δ[K2MnO4])/(Δt) (assuming constant volume and no accumulation of intermediates or side products)

| potassium hydroxide | potassium chlorate | manganese(II) chloride | water | potassium chloride | potassium manganate formula | KOH | KClO_3 | MnCl_2 | H_2O | KCl | K_2MnO_4 Hill formula | HKO | ClKO_3 | Cl_2Mn | H_2O | ClK | K_2MnO_4 name | potassium hydroxide | potassium chlorate | manganese(II) chloride | water | potassium chloride | potassium manganate IUPAC name | potassium hydroxide | potassium chlorate | dichloromanganese | water | potassium chloride | dipotassium dioxido-dioxomanganese

| potassium hydroxide | potassium chlorate | manganese(II) chloride | water | potassium chloride | potassium manganate molar mass | 56.105 g/mol | 122.5 g/mol | 125.8 g/mol | 18.015 g/mol | 74.55 g/mol | 197.13 g/mol phase | solid (at STP) | solid (at STP) | solid (at STP) | liquid (at STP) | solid (at STP) | solid (at STP) melting point | 406 °C | 356 °C | 652 °C | 0 °C | 770 °C | 190 °C boiling point | 1327 °C | | | 99.9839 °C | 1420 °C | density | 2.044 g/cm^3 | 2.34 g/cm^3 | 2.98 g/cm^3 | 1 g/cm^3 | 1.98 g/cm^3 | solubility in water | soluble | soluble | | | soluble | decomposes surface tension | | | | 0.0728 N/m | | dynamic viscosity | 0.001 Pa s (at 550 °C) | | | 8.9×10^-4 Pa s (at 25 °C) | | odor | | | | odorless | odorless |