Input interpretation
![KOH potassium hydroxide + KClO_3 potassium chlorate + MnCl_2 manganese(II) chloride ⟶ H_2O water + KCl potassium chloride + K_2MnO_4 potassium manganate](../image_source/d9b3a2e3ec8bba9d8a096ae4df1783c2.png)
KOH potassium hydroxide + KClO_3 potassium chlorate + MnCl_2 manganese(II) chloride ⟶ H_2O water + KCl potassium chloride + K_2MnO_4 potassium manganate
Balanced equation
![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](../image_source/35039392797a72b578462692e46768bd.png)
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
Structures
![+ + ⟶ + +](../image_source/75b7a57b5f7188f8ef1acf9eb8bd9c58.png)
+ + ⟶ + +
Names
![potassium hydroxide + potassium chlorate + manganese(II) chloride ⟶ water + potassium chloride + potassium manganate](../image_source/1e777922fe7625f1fc58facafca3bd95.png)
potassium hydroxide + potassium chlorate + manganese(II) chloride ⟶ water + potassium chloride + potassium manganate
Equilibrium constant
![K_c = ([H2O]^6 [KCl]^8 [K2MnO4]^3)/([KOH]^12 [KClO3]^2 [MnCl2]^3)](../image_source/bcbed74396499ae361cd53f433d63b23.png)
K_c = ([H2O]^6 [KCl]^8 [K2MnO4]^3)/([KOH]^12 [KClO3]^2 [MnCl2]^3)
Rate of reaction
![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)](../image_source/717d4555c265782b312a6f3c34b4c5ee.png)
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)
Chemical names and formulas
![| 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](../image_source/d916d1f6f8833d6b510b022dd563de9b.png)
| 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
Substance properties
![| 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 |](../image_source/59c6bee10d594ff954ba928db54fc4f1.png)
| 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 |
Units