Input interpretation
![ZnCl_2 zinc chloride + Na_2SiO_3 sodium metasilicate ⟶ NaCl sodium chloride + ZnSiO3](../image_source/b45fbf61945df0ded627ce5f0a21f050.png)
ZnCl_2 zinc chloride + Na_2SiO_3 sodium metasilicate ⟶ NaCl sodium chloride + ZnSiO3
Balanced equation
![Balance the chemical equation algebraically: ZnCl_2 + Na_2SiO_3 ⟶ NaCl + ZnSiO3 Add stoichiometric coefficients, c_i, to the reactants and products: c_1 ZnCl_2 + c_2 Na_2SiO_3 ⟶ c_3 NaCl + c_4 ZnSiO3 Set the number of atoms in the reactants equal to the number of atoms in the products for Cl, Zn, Na, O and Si: Cl: | 2 c_1 = c_3 Zn: | c_1 = c_4 Na: | 2 c_2 = c_3 O: | 3 c_2 = 3 c_4 Si: | c_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_1 = 1 and solve the system of equations for the remaining coefficients: c_1 = 1 c_2 = 1 c_3 = 2 c_4 = 1 Substitute the coefficients into the chemical reaction to obtain the balanced equation: Answer: | | ZnCl_2 + Na_2SiO_3 ⟶ 2 NaCl + ZnSiO3](../image_source/e00a403c2064dc2f56fa3a8717b523e2.png)
Balance the chemical equation algebraically: ZnCl_2 + Na_2SiO_3 ⟶ NaCl + ZnSiO3 Add stoichiometric coefficients, c_i, to the reactants and products: c_1 ZnCl_2 + c_2 Na_2SiO_3 ⟶ c_3 NaCl + c_4 ZnSiO3 Set the number of atoms in the reactants equal to the number of atoms in the products for Cl, Zn, Na, O and Si: Cl: | 2 c_1 = c_3 Zn: | c_1 = c_4 Na: | 2 c_2 = c_3 O: | 3 c_2 = 3 c_4 Si: | c_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_1 = 1 and solve the system of equations for the remaining coefficients: c_1 = 1 c_2 = 1 c_3 = 2 c_4 = 1 Substitute the coefficients into the chemical reaction to obtain the balanced equation: Answer: | | ZnCl_2 + Na_2SiO_3 ⟶ 2 NaCl + ZnSiO3
Structures
![+ ⟶ + ZnSiO3](../image_source/10f5f480498bf97be1f3d6513ca7df4a.png)
+ ⟶ + ZnSiO3
Names
![zinc chloride + sodium metasilicate ⟶ sodium chloride + ZnSiO3](../image_source/b7b603b4980c8dd792912b0cdac213c8.png)
zinc chloride + sodium metasilicate ⟶ sodium chloride + ZnSiO3
Equilibrium constant
![Construct the equilibrium constant, K, expression for: ZnCl_2 + Na_2SiO_3 ⟶ NaCl + ZnSiO3 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: ZnCl_2 + Na_2SiO_3 ⟶ 2 NaCl + ZnSiO3 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 | 1 | -1 Na_2SiO_3 | 1 | -1 NaCl | 2 | 2 ZnSiO3 | 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 | 1 | -1 | ([ZnCl2])^(-1) Na_2SiO_3 | 1 | -1 | ([Na2SiO3])^(-1) NaCl | 2 | 2 | ([NaCl])^2 ZnSiO3 | 1 | 1 | [ZnSiO3] 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])^(-1) ([Na2SiO3])^(-1) ([NaCl])^2 [ZnSiO3] = (([NaCl])^2 [ZnSiO3])/([ZnCl2] [Na2SiO3])](../image_source/7a69b69a1329a6128c37b4ccac624fd0.png)
Construct the equilibrium constant, K, expression for: ZnCl_2 + Na_2SiO_3 ⟶ NaCl + ZnSiO3 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: ZnCl_2 + Na_2SiO_3 ⟶ 2 NaCl + ZnSiO3 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 | 1 | -1 Na_2SiO_3 | 1 | -1 NaCl | 2 | 2 ZnSiO3 | 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 | 1 | -1 | ([ZnCl2])^(-1) Na_2SiO_3 | 1 | -1 | ([Na2SiO3])^(-1) NaCl | 2 | 2 | ([NaCl])^2 ZnSiO3 | 1 | 1 | [ZnSiO3] 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])^(-1) ([Na2SiO3])^(-1) ([NaCl])^2 [ZnSiO3] = (([NaCl])^2 [ZnSiO3])/([ZnCl2] [Na2SiO3])
Rate of reaction
![Construct the rate of reaction expression for: ZnCl_2 + Na_2SiO_3 ⟶ NaCl + ZnSiO3 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: ZnCl_2 + Na_2SiO_3 ⟶ 2 NaCl + ZnSiO3 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 | 1 | -1 Na_2SiO_3 | 1 | -1 NaCl | 2 | 2 ZnSiO3 | 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 | 1 | -1 | -(Δ[ZnCl2])/(Δt) Na_2SiO_3 | 1 | -1 | -(Δ[Na2SiO3])/(Δt) NaCl | 2 | 2 | 1/2 (Δ[NaCl])/(Δt) ZnSiO3 | 1 | 1 | (Δ[ZnSiO3])/(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 = -(Δ[ZnCl2])/(Δt) = -(Δ[Na2SiO3])/(Δt) = 1/2 (Δ[NaCl])/(Δt) = (Δ[ZnSiO3])/(Δt) (assuming constant volume and no accumulation of intermediates or side products)](../image_source/bf72f7acb391c473aa91db1e111cae47.png)
Construct the rate of reaction expression for: ZnCl_2 + Na_2SiO_3 ⟶ NaCl + ZnSiO3 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: ZnCl_2 + Na_2SiO_3 ⟶ 2 NaCl + ZnSiO3 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 | 1 | -1 Na_2SiO_3 | 1 | -1 NaCl | 2 | 2 ZnSiO3 | 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 | 1 | -1 | -(Δ[ZnCl2])/(Δt) Na_2SiO_3 | 1 | -1 | -(Δ[Na2SiO3])/(Δt) NaCl | 2 | 2 | 1/2 (Δ[NaCl])/(Δt) ZnSiO3 | 1 | 1 | (Δ[ZnSiO3])/(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 = -(Δ[ZnCl2])/(Δt) = -(Δ[Na2SiO3])/(Δt) = 1/2 (Δ[NaCl])/(Δt) = (Δ[ZnSiO3])/(Δt) (assuming constant volume and no accumulation of intermediates or side products)
Chemical names and formulas
![| zinc chloride | sodium metasilicate | sodium chloride | ZnSiO3 formula | ZnCl_2 | Na_2SiO_3 | NaCl | ZnSiO3 Hill formula | Cl_2Zn | Na_2O_3Si | ClNa | O3SiZn name | zinc chloride | sodium metasilicate | sodium chloride | IUPAC name | zinc dichloride | disodium dioxido-oxosilane | sodium chloride |](../image_source/75e3f8df7c852139e0c0c220641309c0.png)
| zinc chloride | sodium metasilicate | sodium chloride | ZnSiO3 formula | ZnCl_2 | Na_2SiO_3 | NaCl | ZnSiO3 Hill formula | Cl_2Zn | Na_2O_3Si | ClNa | O3SiZn name | zinc chloride | sodium metasilicate | sodium chloride | IUPAC name | zinc dichloride | disodium dioxido-oxosilane | sodium chloride |
Substance properties
![| zinc chloride | sodium metasilicate | sodium chloride | ZnSiO3 molar mass | 136.3 g/mol | 122.06 g/mol | 58.44 g/mol | 141.5 g/mol phase | solid (at STP) | solid (at STP) | solid (at STP) | melting point | 293 °C | 72.2 °C | 801 °C | boiling point | | | 1413 °C | density | | 1.749 g/cm^3 | 2.16 g/cm^3 | solubility in water | soluble | soluble | soluble | dynamic viscosity | | 1 Pa s (at 1088 °C) | | odor | odorless | | odorless |](../image_source/11d15e54838cde86d286ab1058cf93d9.png)
| zinc chloride | sodium metasilicate | sodium chloride | ZnSiO3 molar mass | 136.3 g/mol | 122.06 g/mol | 58.44 g/mol | 141.5 g/mol phase | solid (at STP) | solid (at STP) | solid (at STP) | melting point | 293 °C | 72.2 °C | 801 °C | boiling point | | | 1413 °C | density | | 1.749 g/cm^3 | 2.16 g/cm^3 | solubility in water | soluble | soluble | soluble | dynamic viscosity | | 1 Pa s (at 1088 °C) | | odor | odorless | | odorless |
Units