Input interpretation
![ZnCl_2 zinc chloride + Na_3PO_4 trisodium phosphate ⟶ NaCl sodium chloride + Zn_3(PO_4)_2 zinc phosphate](../image_source/a0a5ae2033dbcb31020ee144aec0f6a2.png)
ZnCl_2 zinc chloride + Na_3PO_4 trisodium phosphate ⟶ NaCl sodium chloride + Zn_3(PO_4)_2 zinc phosphate
Balanced equation
![Balance the chemical equation algebraically: ZnCl_2 + Na_3PO_4 ⟶ NaCl + Zn_3(PO_4)_2 Add stoichiometric coefficients, c_i, to the reactants and products: c_1 ZnCl_2 + c_2 Na_3PO_4 ⟶ c_3 NaCl + c_4 Zn_3(PO_4)_2 Set the number of atoms in the reactants equal to the number of atoms in the products for Cl, Zn, Na, O and P: Cl: | 2 c_1 = c_3 Zn: | c_1 = 3 c_4 Na: | 3 c_2 = c_3 O: | 4 c_2 = 8 c_4 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 ZnCl_2 + 2 Na_3PO_4 ⟶ 6 NaCl + Zn_3(PO_4)_2](../image_source/d04a3839b6aa6d9d7bccca786fe0ca8e.png)
Balance the chemical equation algebraically: ZnCl_2 + Na_3PO_4 ⟶ NaCl + Zn_3(PO_4)_2 Add stoichiometric coefficients, c_i, to the reactants and products: c_1 ZnCl_2 + c_2 Na_3PO_4 ⟶ c_3 NaCl + c_4 Zn_3(PO_4)_2 Set the number of atoms in the reactants equal to the number of atoms in the products for Cl, Zn, Na, O and P: Cl: | 2 c_1 = c_3 Zn: | c_1 = 3 c_4 Na: | 3 c_2 = c_3 O: | 4 c_2 = 8 c_4 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 ZnCl_2 + 2 Na_3PO_4 ⟶ 6 NaCl + Zn_3(PO_4)_2
Structures
![+ ⟶ +](../image_source/a472c5daa5d46592290d342d1c72ac9e.png)
+ ⟶ +
Names
![zinc chloride + trisodium phosphate ⟶ sodium chloride + zinc phosphate](../image_source/8f0e4b629f56f0811905d7568225eb9d.png)
zinc chloride + trisodium phosphate ⟶ sodium chloride + zinc phosphate
Equilibrium constant
![Construct the equilibrium constant, K, expression for: ZnCl_2 + Na_3PO_4 ⟶ NaCl + Zn_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 ZnCl_2 + 2 Na_3PO_4 ⟶ 6 NaCl + Zn_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 ZnCl_2 | 3 | -3 Na_3PO_4 | 2 | -2 NaCl | 6 | 6 Zn_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 ZnCl_2 | 3 | -3 | ([ZnCl2])^(-3) Na_3PO_4 | 2 | -2 | ([Na3PO4])^(-2) NaCl | 6 | 6 | ([NaCl])^6 Zn_3(PO_4)_2 | 1 | 1 | [Zn3(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 = ([ZnCl2])^(-3) ([Na3PO4])^(-2) ([NaCl])^6 [Zn3(PO4)2] = (([NaCl])^6 [Zn3(PO4)2])/(([ZnCl2])^3 ([Na3PO4])^2)](../image_source/40dffdd72eb27cf034ba0683903d1a07.png)
Construct the equilibrium constant, K, expression for: ZnCl_2 + Na_3PO_4 ⟶ NaCl + Zn_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 ZnCl_2 + 2 Na_3PO_4 ⟶ 6 NaCl + Zn_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 ZnCl_2 | 3 | -3 Na_3PO_4 | 2 | -2 NaCl | 6 | 6 Zn_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 ZnCl_2 | 3 | -3 | ([ZnCl2])^(-3) Na_3PO_4 | 2 | -2 | ([Na3PO4])^(-2) NaCl | 6 | 6 | ([NaCl])^6 Zn_3(PO_4)_2 | 1 | 1 | [Zn3(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 = ([ZnCl2])^(-3) ([Na3PO4])^(-2) ([NaCl])^6 [Zn3(PO4)2] = (([NaCl])^6 [Zn3(PO4)2])/(([ZnCl2])^3 ([Na3PO4])^2)
Rate of reaction
![Construct the rate of reaction expression for: ZnCl_2 + Na_3PO_4 ⟶ NaCl + Zn_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 ZnCl_2 + 2 Na_3PO_4 ⟶ 6 NaCl + Zn_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 ZnCl_2 | 3 | -3 Na_3PO_4 | 2 | -2 NaCl | 6 | 6 Zn_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 ZnCl_2 | 3 | -3 | -1/3 (Δ[ZnCl2])/(Δt) Na_3PO_4 | 2 | -2 | -1/2 (Δ[Na3PO4])/(Δt) NaCl | 6 | 6 | 1/6 (Δ[NaCl])/(Δt) Zn_3(PO_4)_2 | 1 | 1 | (Δ[Zn3(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[ZnCl2])/(Δt) = -1/2 (Δ[Na3PO4])/(Δt) = 1/6 (Δ[NaCl])/(Δt) = (Δ[Zn3(PO4)2])/(Δt) (assuming constant volume and no accumulation of intermediates or side products)](../image_source/cfe5a5adaa46e505c6bb4d5f806e49d9.png)
Construct the rate of reaction expression for: ZnCl_2 + Na_3PO_4 ⟶ NaCl + Zn_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 ZnCl_2 + 2 Na_3PO_4 ⟶ 6 NaCl + Zn_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 ZnCl_2 | 3 | -3 Na_3PO_4 | 2 | -2 NaCl | 6 | 6 Zn_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 ZnCl_2 | 3 | -3 | -1/3 (Δ[ZnCl2])/(Δt) Na_3PO_4 | 2 | -2 | -1/2 (Δ[Na3PO4])/(Δt) NaCl | 6 | 6 | 1/6 (Δ[NaCl])/(Δt) Zn_3(PO_4)_2 | 1 | 1 | (Δ[Zn3(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[ZnCl2])/(Δt) = -1/2 (Δ[Na3PO4])/(Δt) = 1/6 (Δ[NaCl])/(Δt) = (Δ[Zn3(PO4)2])/(Δt) (assuming constant volume and no accumulation of intermediates or side products)
Chemical names and formulas
![| zinc chloride | trisodium phosphate | sodium chloride | zinc phosphate formula | ZnCl_2 | Na_3PO_4 | NaCl | Zn_3(PO_4)_2 Hill formula | Cl_2Zn | Na_3O_4P | ClNa | O_8P_2Zn_3 name | zinc chloride | trisodium phosphate | sodium chloride | zinc phosphate IUPAC name | zinc dichloride | trisodium phosphate | sodium chloride | trizinc diphosphate](../image_source/b759383cc0baa1dd8a1a13216866cc9e.png)
| zinc chloride | trisodium phosphate | sodium chloride | zinc phosphate formula | ZnCl_2 | Na_3PO_4 | NaCl | Zn_3(PO_4)_2 Hill formula | Cl_2Zn | Na_3O_4P | ClNa | O_8P_2Zn_3 name | zinc chloride | trisodium phosphate | sodium chloride | zinc phosphate IUPAC name | zinc dichloride | trisodium phosphate | sodium chloride | trizinc diphosphate
Substance properties
![| zinc chloride | trisodium phosphate | sodium chloride | zinc phosphate molar mass | 136.3 g/mol | 163.94 g/mol | 58.44 g/mol | 386.1 g/mol phase | solid (at STP) | solid (at STP) | solid (at STP) | solid (at STP) melting point | 293 °C | 75 °C | 801 °C | 1060 °C boiling point | | | 1413 °C | density | | 2.536 g/cm^3 | 2.16 g/cm^3 | 3.998 g/cm^3 solubility in water | soluble | soluble | soluble | insoluble odor | odorless | odorless | odorless |](../image_source/0d092669ec3194ba00c81a0e780c862b.png)
| zinc chloride | trisodium phosphate | sodium chloride | zinc phosphate molar mass | 136.3 g/mol | 163.94 g/mol | 58.44 g/mol | 386.1 g/mol phase | solid (at STP) | solid (at STP) | solid (at STP) | solid (at STP) melting point | 293 °C | 75 °C | 801 °C | 1060 °C boiling point | | | 1413 °C | density | | 2.536 g/cm^3 | 2.16 g/cm^3 | 3.998 g/cm^3 solubility in water | soluble | soluble | soluble | insoluble odor | odorless | odorless | odorless |
Units