Search

Ca(OH)2 + K3PO4 = KOH + Ca3(PO4)2

Input interpretation

Ca(OH)_2 calcium hydroxide + K3PO4 ⟶ KOH potassium hydroxide + Ca_3(PO_4)_2 tricalcium diphosphate
Ca(OH)_2 calcium hydroxide + K3PO4 ⟶ KOH potassium hydroxide + Ca_3(PO_4)_2 tricalcium diphosphate

Balanced equation

Balance the chemical equation algebraically: Ca(OH)_2 + K3PO4 ⟶ KOH + Ca_3(PO_4)_2 Add stoichiometric coefficients, c_i, to the reactants and products: c_1 Ca(OH)_2 + c_2 K3PO4 ⟶ c_3 KOH + c_4 Ca_3(PO_4)_2 Set the number of atoms in the reactants equal to the number of atoms in the products for Ca, H, O, K and P: Ca: | c_1 = 3 c_4 H: | 2 c_1 = c_3 O: | 2 c_1 + 4 c_2 = c_3 + 8 c_4 K: | 3 c_2 = c_3 P: | c_2 = 2 c_4 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_4 = 1 and solve the system of equations for the remaining coefficients: c_1 = 3 c_2 = 2 c_3 = 6 c_4 = 1 Substitute the coefficients into the chemical reaction to obtain the balanced equation: Answer: | | 3 Ca(OH)_2 + 2 K3PO4 ⟶ 6 KOH + Ca_3(PO_4)_2
Balance the chemical equation algebraically: Ca(OH)_2 + K3PO4 ⟶ KOH + Ca_3(PO_4)_2 Add stoichiometric coefficients, c_i, to the reactants and products: c_1 Ca(OH)_2 + c_2 K3PO4 ⟶ c_3 KOH + c_4 Ca_3(PO_4)_2 Set the number of atoms in the reactants equal to the number of atoms in the products for Ca, H, O, K and P: Ca: | c_1 = 3 c_4 H: | 2 c_1 = c_3 O: | 2 c_1 + 4 c_2 = c_3 + 8 c_4 K: | 3 c_2 = c_3 P: | c_2 = 2 c_4 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_4 = 1 and solve the system of equations for the remaining coefficients: c_1 = 3 c_2 = 2 c_3 = 6 c_4 = 1 Substitute the coefficients into the chemical reaction to obtain the balanced equation: Answer: | | 3 Ca(OH)_2 + 2 K3PO4 ⟶ 6 KOH + Ca_3(PO_4)_2

Structures

+ K3PO4 ⟶ +
+ K3PO4 ⟶ +

Names

calcium hydroxide + K3PO4 ⟶ potassium hydroxide + tricalcium diphosphate
calcium hydroxide + K3PO4 ⟶ potassium hydroxide + tricalcium diphosphate

Equilibrium constant

Construct the equilibrium constant, K, expression for: Ca(OH)_2 + K3PO4 ⟶ KOH + Ca_3(PO_4)_2 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: 3 Ca(OH)_2 + 2 K3PO4 ⟶ 6 KOH + Ca_3(PO_4)_2 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 Ca(OH)_2 | 3 | -3 K3PO4 | 2 | -2 KOH | 6 | 6 Ca_3(PO_4)_2 | 1 | 1 Assemble the activity expressions accounting for the state of matter and ν_i: chemical species | c_i | ν_i | activity expression Ca(OH)_2 | 3 | -3 | ([Ca(OH)2])^(-3) K3PO4 | 2 | -2 | ([K3PO4])^(-2) KOH | 6 | 6 | ([KOH])^6 Ca_3(PO_4)_2 | 1 | 1 | [Ca3(PO4)2] 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 = ([Ca(OH)2])^(-3) ([K3PO4])^(-2) ([KOH])^6 [Ca3(PO4)2] = (([KOH])^6 [Ca3(PO4)2])/(([Ca(OH)2])^3 ([K3PO4])^2)
Construct the equilibrium constant, K, expression for: Ca(OH)_2 + K3PO4 ⟶ KOH + Ca_3(PO_4)_2 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: 3 Ca(OH)_2 + 2 K3PO4 ⟶ 6 KOH + Ca_3(PO_4)_2 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 Ca(OH)_2 | 3 | -3 K3PO4 | 2 | -2 KOH | 6 | 6 Ca_3(PO_4)_2 | 1 | 1 Assemble the activity expressions accounting for the state of matter and ν_i: chemical species | c_i | ν_i | activity expression Ca(OH)_2 | 3 | -3 | ([Ca(OH)2])^(-3) K3PO4 | 2 | -2 | ([K3PO4])^(-2) KOH | 6 | 6 | ([KOH])^6 Ca_3(PO_4)_2 | 1 | 1 | [Ca3(PO4)2] 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 = ([Ca(OH)2])^(-3) ([K3PO4])^(-2) ([KOH])^6 [Ca3(PO4)2] = (([KOH])^6 [Ca3(PO4)2])/(([Ca(OH)2])^3 ([K3PO4])^2)

Rate of reaction

Construct the rate of reaction expression for: Ca(OH)_2 + K3PO4 ⟶ KOH + Ca_3(PO_4)_2 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: 3 Ca(OH)_2 + 2 K3PO4 ⟶ 6 KOH + Ca_3(PO_4)_2 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 Ca(OH)_2 | 3 | -3 K3PO4 | 2 | -2 KOH | 6 | 6 Ca_3(PO_4)_2 | 1 | 1 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 Ca(OH)_2 | 3 | -3 | -1/3 (Δ[Ca(OH)2])/(Δt) K3PO4 | 2 | -2 | -1/2 (Δ[K3PO4])/(Δt) KOH | 6 | 6 | 1/6 (Δ[KOH])/(Δt) Ca_3(PO_4)_2 | 1 | 1 | (Δ[Ca3(PO4)2])/(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 = -1/3 (Δ[Ca(OH)2])/(Δt) = -1/2 (Δ[K3PO4])/(Δt) = 1/6 (Δ[KOH])/(Δt) = (Δ[Ca3(PO4)2])/(Δt) (assuming constant volume and no accumulation of intermediates or side products)
Construct the rate of reaction expression for: Ca(OH)_2 + K3PO4 ⟶ KOH + Ca_3(PO_4)_2 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: 3 Ca(OH)_2 + 2 K3PO4 ⟶ 6 KOH + Ca_3(PO_4)_2 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 Ca(OH)_2 | 3 | -3 K3PO4 | 2 | -2 KOH | 6 | 6 Ca_3(PO_4)_2 | 1 | 1 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 Ca(OH)_2 | 3 | -3 | -1/3 (Δ[Ca(OH)2])/(Δt) K3PO4 | 2 | -2 | -1/2 (Δ[K3PO4])/(Δt) KOH | 6 | 6 | 1/6 (Δ[KOH])/(Δt) Ca_3(PO_4)_2 | 1 | 1 | (Δ[Ca3(PO4)2])/(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 = -1/3 (Δ[Ca(OH)2])/(Δt) = -1/2 (Δ[K3PO4])/(Δt) = 1/6 (Δ[KOH])/(Δt) = (Δ[Ca3(PO4)2])/(Δt) (assuming constant volume and no accumulation of intermediates or side products)

Chemical names and formulas

| calcium hydroxide | K3PO4 | potassium hydroxide | tricalcium diphosphate formula | Ca(OH)_2 | K3PO4 | KOH | Ca_3(PO_4)_2 Hill formula | CaH_2O_2 | K3O4P | HKO | Ca_3O_8P_2 name | calcium hydroxide | | potassium hydroxide | tricalcium diphosphate IUPAC name | calcium dihydroxide | | potassium hydroxide | tricalcium diphosphate
| calcium hydroxide | K3PO4 | potassium hydroxide | tricalcium diphosphate formula | Ca(OH)_2 | K3PO4 | KOH | Ca_3(PO_4)_2 Hill formula | CaH_2O_2 | K3O4P | HKO | Ca_3O_8P_2 name | calcium hydroxide | | potassium hydroxide | tricalcium diphosphate IUPAC name | calcium dihydroxide | | potassium hydroxide | tricalcium diphosphate

Substance properties

| calcium hydroxide | K3PO4 | potassium hydroxide | tricalcium diphosphate molar mass | 74.092 g/mol | 212.26 g/mol | 56.105 g/mol | 310.17 g/mol phase | solid (at STP) | | solid (at STP) | melting point | 550 °C | | 406 °C | boiling point | | | 1327 °C | density | 2.24 g/cm^3 | | 2.044 g/cm^3 | 3.14 g/cm^3 solubility in water | slightly soluble | | soluble | dynamic viscosity | | | 0.001 Pa s (at 550 °C) | odor | odorless | | |
| calcium hydroxide | K3PO4 | potassium hydroxide | tricalcium diphosphate molar mass | 74.092 g/mol | 212.26 g/mol | 56.105 g/mol | 310.17 g/mol phase | solid (at STP) | | solid (at STP) | melting point | 550 °C | | 406 °C | boiling point | | | 1327 °C | density | 2.24 g/cm^3 | | 2.044 g/cm^3 | 3.14 g/cm^3 solubility in water | slightly soluble | | soluble | dynamic viscosity | | | 0.001 Pa s (at 550 °C) | odor | odorless | | |

Units

Random Queries

atomic diameter of molybdenum
CAS number of group 13 elements
phosphoric acid vs arsenic acid, solid
shear modulus of group 13 elements
name of copper(II) vanadate vs zirconium(IV) carbide
density of 2,4-dimethylstyrene vs 1-pentadecene
net ionic charge of oxygen(I) cation vs ammonium cation
is manganese V cation
molar mass of chlorosyl trifluoride vs lanthanum(III) chloride hydrate
freezing point of pyrophosphoric acid vs iodic acid