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KOH + KClO3 + K2C2O4 = H2O + KCl + K2CO3

Input interpretation

KOH potassium hydroxide + KClO_3 potassium chlorate + C_2K_2O_4 potassium oxalate ⟶ H_2O water + KCl potassium chloride + K_2CO_3 pearl ash
KOH potassium hydroxide + KClO_3 potassium chlorate + C_2K_2O_4 potassium oxalate ⟶ H_2O water + KCl potassium chloride + K_2CO_3 pearl ash

Balanced equation

Balance the chemical equation algebraically: KOH + KClO_3 + C_2K_2O_4 ⟶ H_2O + KCl + K_2CO_3 Add stoichiometric coefficients, c_i, to the reactants and products: c_1 KOH + c_2 KClO_3 + c_3 C_2K_2O_4 ⟶ c_4 H_2O + c_5 KCl + c_6 K_2CO_3 Set the number of atoms in the reactants equal to the number of atoms in the products for H, K, O, Cl and C: H: | c_1 = 2 c_4 K: | c_1 + c_2 + 2 c_3 = c_5 + 2 c_6 O: | c_1 + 3 c_2 + 4 c_3 = c_4 + 3 c_6 Cl: | c_2 = c_5 C: | 2 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 c_4 = 3 c_5 = 1 c_6 = 6 Substitute the coefficients into the chemical reaction to obtain the balanced equation: Answer: | | 6 KOH + KClO_3 + 3 C_2K_2O_4 ⟶ 3 H_2O + KCl + 6 K_2CO_3
Balance the chemical equation algebraically: KOH + KClO_3 + C_2K_2O_4 ⟶ H_2O + KCl + K_2CO_3 Add stoichiometric coefficients, c_i, to the reactants and products: c_1 KOH + c_2 KClO_3 + c_3 C_2K_2O_4 ⟶ c_4 H_2O + c_5 KCl + c_6 K_2CO_3 Set the number of atoms in the reactants equal to the number of atoms in the products for H, K, O, Cl and C: H: | c_1 = 2 c_4 K: | c_1 + c_2 + 2 c_3 = c_5 + 2 c_6 O: | c_1 + 3 c_2 + 4 c_3 = c_4 + 3 c_6 Cl: | c_2 = c_5 C: | 2 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 c_4 = 3 c_5 = 1 c_6 = 6 Substitute the coefficients into the chemical reaction to obtain the balanced equation: Answer: | | 6 KOH + KClO_3 + 3 C_2K_2O_4 ⟶ 3 H_2O + KCl + 6 K_2CO_3

Structures

+ + ⟶ + +
+ + ⟶ + +

Names

potassium hydroxide + potassium chlorate + potassium oxalate ⟶ water + potassium chloride + pearl ash
potassium hydroxide + potassium chlorate + potassium oxalate ⟶ water + potassium chloride + pearl ash

Equilibrium constant

Construct the equilibrium constant, K, expression for: KOH + KClO_3 + C_2K_2O_4 ⟶ H_2O + KCl + K_2CO_3 Plan: • Balance the chemical equation. • Determine the stoichiometric numbers. • Assemble the activity expression for each chemical species. • Use the activity expressions to build the equilibrium constant expression. Write the balanced chemical equation: 6 KOH + KClO_3 + 3 C_2K_2O_4 ⟶ 3 H_2O + KCl + 6 K_2CO_3 Assign stoichiometric numbers, ν_i, using the stoichiometric coefficients, c_i, from the balanced chemical equation in the following manner: ν_i = -c_i for reactants and ν_i = c_i for products: chemical species | c_i | ν_i KOH | 6 | -6 KClO_3 | 1 | -1 C_2K_2O_4 | 3 | -3 H_2O | 3 | 3 KCl | 1 | 1 K_2CO_3 | 6 | 6 Assemble the activity expressions accounting for the state of matter and ν_i: chemical species | c_i | ν_i | activity expression KOH | 6 | -6 | ([KOH])^(-6) KClO_3 | 1 | -1 | ([KClO3])^(-1) C_2K_2O_4 | 3 | -3 | ([C2K2O4])^(-3) H_2O | 3 | 3 | ([H2O])^3 KCl | 1 | 1 | [KCl] K_2CO_3 | 6 | 6 | ([K2CO3])^6 The equilibrium constant symbol in the concentration basis is: K_c Mulitply the activity expressions to arrive at the K_c expression: Answer: | | K_c = ([KOH])^(-6) ([KClO3])^(-1) ([C2K2O4])^(-3) ([H2O])^3 [KCl] ([K2CO3])^6 = (([H2O])^3 [KCl] ([K2CO3])^6)/(([KOH])^6 [KClO3] ([C2K2O4])^3)
Construct the equilibrium constant, K, expression for: KOH + KClO_3 + C_2K_2O_4 ⟶ H_2O + KCl + K_2CO_3 Plan: • Balance the chemical equation. • Determine the stoichiometric numbers. • Assemble the activity expression for each chemical species. • Use the activity expressions to build the equilibrium constant expression. Write the balanced chemical equation: 6 KOH + KClO_3 + 3 C_2K_2O_4 ⟶ 3 H_2O + KCl + 6 K_2CO_3 Assign stoichiometric numbers, ν_i, using the stoichiometric coefficients, c_i, from the balanced chemical equation in the following manner: ν_i = -c_i for reactants and ν_i = c_i for products: chemical species | c_i | ν_i KOH | 6 | -6 KClO_3 | 1 | -1 C_2K_2O_4 | 3 | -3 H_2O | 3 | 3 KCl | 1 | 1 K_2CO_3 | 6 | 6 Assemble the activity expressions accounting for the state of matter and ν_i: chemical species | c_i | ν_i | activity expression KOH | 6 | -6 | ([KOH])^(-6) KClO_3 | 1 | -1 | ([KClO3])^(-1) C_2K_2O_4 | 3 | -3 | ([C2K2O4])^(-3) H_2O | 3 | 3 | ([H2O])^3 KCl | 1 | 1 | [KCl] K_2CO_3 | 6 | 6 | ([K2CO3])^6 The equilibrium constant symbol in the concentration basis is: K_c Mulitply the activity expressions to arrive at the K_c expression: Answer: | | K_c = ([KOH])^(-6) ([KClO3])^(-1) ([C2K2O4])^(-3) ([H2O])^3 [KCl] ([K2CO3])^6 = (([H2O])^3 [KCl] ([K2CO3])^6)/(([KOH])^6 [KClO3] ([C2K2O4])^3)

Rate of reaction

Construct the rate of reaction expression for: KOH + KClO_3 + C_2K_2O_4 ⟶ H_2O + KCl + K_2CO_3 Plan: • Balance the chemical equation. • Determine the stoichiometric numbers. • Assemble the rate term for each chemical species. • Write the rate of reaction expression. Write the balanced chemical equation: 6 KOH + KClO_3 + 3 C_2K_2O_4 ⟶ 3 H_2O + KCl + 6 K_2CO_3 Assign stoichiometric numbers, ν_i, using the stoichiometric coefficients, c_i, from the balanced chemical equation in the following manner: ν_i = -c_i for reactants and ν_i = c_i for products: chemical species | c_i | ν_i KOH | 6 | -6 KClO_3 | 1 | -1 C_2K_2O_4 | 3 | -3 H_2O | 3 | 3 KCl | 1 | 1 K_2CO_3 | 6 | 6 The rate term for each chemical species, B_i, is 1/ν_i(Δ[B_i])/(Δt) where [B_i] is the amount concentration and t is time: chemical species | c_i | ν_i | rate term KOH | 6 | -6 | -1/6 (Δ[KOH])/(Δt) KClO_3 | 1 | -1 | -(Δ[KClO3])/(Δt) C_2K_2O_4 | 3 | -3 | -1/3 (Δ[C2K2O4])/(Δt) H_2O | 3 | 3 | 1/3 (Δ[H2O])/(Δt) KCl | 1 | 1 | (Δ[KCl])/(Δt) K_2CO_3 | 6 | 6 | 1/6 (Δ[K2CO3])/(Δt) (for infinitesimal rate of change, replace Δ with d) Set the rate terms equal to each other to arrive at the rate expression: Answer: | | rate = -1/6 (Δ[KOH])/(Δt) = -(Δ[KClO3])/(Δt) = -1/3 (Δ[C2K2O4])/(Δt) = 1/3 (Δ[H2O])/(Δt) = (Δ[KCl])/(Δt) = 1/6 (Δ[K2CO3])/(Δt) (assuming constant volume and no accumulation of intermediates or side products)
Construct the rate of reaction expression for: KOH + KClO_3 + C_2K_2O_4 ⟶ H_2O + KCl + K_2CO_3 Plan: • Balance the chemical equation. • Determine the stoichiometric numbers. • Assemble the rate term for each chemical species. • Write the rate of reaction expression. Write the balanced chemical equation: 6 KOH + KClO_3 + 3 C_2K_2O_4 ⟶ 3 H_2O + KCl + 6 K_2CO_3 Assign stoichiometric numbers, ν_i, using the stoichiometric coefficients, c_i, from the balanced chemical equation in the following manner: ν_i = -c_i for reactants and ν_i = c_i for products: chemical species | c_i | ν_i KOH | 6 | -6 KClO_3 | 1 | -1 C_2K_2O_4 | 3 | -3 H_2O | 3 | 3 KCl | 1 | 1 K_2CO_3 | 6 | 6 The rate term for each chemical species, B_i, is 1/ν_i(Δ[B_i])/(Δt) where [B_i] is the amount concentration and t is time: chemical species | c_i | ν_i | rate term KOH | 6 | -6 | -1/6 (Δ[KOH])/(Δt) KClO_3 | 1 | -1 | -(Δ[KClO3])/(Δt) C_2K_2O_4 | 3 | -3 | -1/3 (Δ[C2K2O4])/(Δt) H_2O | 3 | 3 | 1/3 (Δ[H2O])/(Δt) KCl | 1 | 1 | (Δ[KCl])/(Δt) K_2CO_3 | 6 | 6 | 1/6 (Δ[K2CO3])/(Δt) (for infinitesimal rate of change, replace Δ with d) Set the rate terms equal to each other to arrive at the rate expression: Answer: | | rate = -1/6 (Δ[KOH])/(Δt) = -(Δ[KClO3])/(Δt) = -1/3 (Δ[C2K2O4])/(Δt) = 1/3 (Δ[H2O])/(Δt) = (Δ[KCl])/(Δt) = 1/6 (Δ[K2CO3])/(Δt) (assuming constant volume and no accumulation of intermediates or side products)

Chemical names and formulas

| potassium hydroxide | potassium chlorate | potassium oxalate | water | potassium chloride | pearl ash formula | KOH | KClO_3 | C_2K_2O_4 | H_2O | KCl | K_2CO_3 Hill formula | HKO | ClKO_3 | C_2K_2O_4 | H_2O | ClK | CK_2O_3 name | potassium hydroxide | potassium chlorate | potassium oxalate | water | potassium chloride | pearl ash IUPAC name | potassium hydroxide | potassium chlorate | dipotassium oxalate | water | potassium chloride | dipotassium carbonate
| potassium hydroxide | potassium chlorate | potassium oxalate | water | potassium chloride | pearl ash formula | KOH | KClO_3 | C_2K_2O_4 | H_2O | KCl | K_2CO_3 Hill formula | HKO | ClKO_3 | C_2K_2O_4 | H_2O | ClK | CK_2O_3 name | potassium hydroxide | potassium chlorate | potassium oxalate | water | potassium chloride | pearl ash IUPAC name | potassium hydroxide | potassium chlorate | dipotassium oxalate | water | potassium chloride | dipotassium carbonate

Substance properties

| potassium hydroxide | potassium chlorate | potassium oxalate | water | potassium chloride | pearl ash molar mass | 56.105 g/mol | 122.5 g/mol | 166.21 g/mol | 18.015 g/mol | 74.55 g/mol | 138.2 g/mol phase | solid (at STP) | solid (at STP) | | liquid (at STP) | solid (at STP) | solid (at STP) melting point | 406 °C | 356 °C | | 0 °C | 770 °C | 891 °C boiling point | 1327 °C | | | 99.9839 °C | 1420 °C | density | 2.044 g/cm^3 | 2.34 g/cm^3 | 2.13 g/cm^3 | 1 g/cm^3 | 1.98 g/cm^3 | 2.43 g/cm^3 solubility in water | soluble | soluble | | | soluble | soluble 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 |
| potassium hydroxide | potassium chlorate | potassium oxalate | water | potassium chloride | pearl ash molar mass | 56.105 g/mol | 122.5 g/mol | 166.21 g/mol | 18.015 g/mol | 74.55 g/mol | 138.2 g/mol phase | solid (at STP) | solid (at STP) | | liquid (at STP) | solid (at STP) | solid (at STP) melting point | 406 °C | 356 °C | | 0 °C | 770 °C | 891 °C boiling point | 1327 °C | | | 99.9839 °C | 1420 °C | density | 2.044 g/cm^3 | 2.34 g/cm^3 | 2.13 g/cm^3 | 1 g/cm^3 | 1.98 g/cm^3 | 2.43 g/cm^3 solubility in water | soluble | soluble | | | soluble | soluble 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

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