Input interpretation
KOH (potassium hydroxide) + KClO_3 (potassium chlorate) + MnO (manganese monoxide) ⟶ H_2O (water) + KCl (potassium chloride) + K_2MnO_4 (potassium manganate)
Balanced equation
Balance the chemical equation algebraically: KOH + KClO_3 + MnO ⟶ 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 MnO ⟶ 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_3 = c_4 + 4 c_6 Cl: | c_2 = 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 = 3 c_2 = 1 c_3 = 3/2 c_4 = 3/2 c_5 = 1 c_6 = 3/2 Multiply by the least common denominator, 2, to eliminate fractional coefficients: c_1 = 6 c_2 = 2 c_3 = 3 c_4 = 3 c_5 = 2 c_6 = 3 Substitute the coefficients into the chemical reaction to obtain the balanced equation: Answer: | | 6 KOH + 2 KClO_3 + 3 MnO ⟶ 3 H_2O + 2 KCl + 3 K_2MnO_4
Structures
+ + ⟶ + +
Names
potassium hydroxide + potassium chlorate + manganese monoxide ⟶ water + potassium chloride + potassium manganate
Equilibrium constant
![K_c = ([H2O]^3 [KCl]^2 [K2MnO4]^3)/([KOH]^6 [KClO3]^2 [MnO]^3)](../image_source/0aa7b95781fc44aba62588c7f76f94fb.png)
K_c = ([H2O]^3 [KCl]^2 [K2MnO4]^3)/([KOH]^6 [KClO3]^2 [MnO]^3)
Rate of reaction
![rate = -1/6 (Δ[KOH])/(Δt) = -1/2 (Δ[KClO3])/(Δt) = -1/3 (Δ[MnO])/(Δt) = 1/3 (Δ[H2O])/(Δt) = 1/2 (Δ[KCl])/(Δt) = 1/3 (Δ[K2MnO4])/(Δt) (assuming constant volume and no accumulation of intermediates or side products)](../image_source/7797de257be396e7e111ee6b41f731f1.png)
rate = -1/6 (Δ[KOH])/(Δt) = -1/2 (Δ[KClO3])/(Δt) = -1/3 (Δ[MnO])/(Δt) = 1/3 (Δ[H2O])/(Δt) = 1/2 (Δ[KCl])/(Δt) = 1/3 (Δ[K2MnO4])/(Δt) (assuming constant volume and no accumulation of intermediates or side products)
Chemical names and formulas
| potassium hydroxide | potassium chlorate | manganese monoxide | water | potassium chloride | potassium manganate formula | KOH | KClO_3 | MnO | H_2O | KCl | K_2MnO_4 Hill formula | HKO | ClKO_3 | MnO | H_2O | ClK | K_2MnO_4 name | potassium hydroxide | potassium chlorate | manganese monoxide | water | potassium chloride | potassium manganate IUPAC name | potassium hydroxide | potassium chlorate | oxomanganese | water | potassium chloride | dipotassium dioxido-dioxomanganese