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NaOH + Zn + Ag3AsO4 = H2O + Ag + AsH3 + Na2ZnO2

Input interpretation

NaOH sodium hydroxide + Zn zinc + Ag_3AsO_4 silver arsenate ⟶ H_2O water + Ag silver + AsH_3 arsine + Na2ZnO2
NaOH sodium hydroxide + Zn zinc + Ag_3AsO_4 silver arsenate ⟶ H_2O water + Ag silver + AsH_3 arsine + Na2ZnO2

Balanced equation

Balance the chemical equation algebraically: NaOH + Zn + Ag_3AsO_4 ⟶ H_2O + Ag + AsH_3 + Na2ZnO2 Add stoichiometric coefficients, c_i, to the reactants and products: c_1 NaOH + c_2 Zn + c_3 Ag_3AsO_4 ⟶ c_4 H_2O + c_5 Ag + c_6 AsH_3 + c_7 Na2ZnO2 Set the number of atoms in the reactants equal to the number of atoms in the products for H, Na, O, Zn, Ag and As: H: | c_1 = 2 c_4 + 3 c_6 Na: | c_1 = 2 c_7 O: | c_1 + 4 c_3 = c_4 + 2 c_7 Zn: | c_2 = c_7 Ag: | 3 c_3 = c_5 As: | 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_3 = 1 and solve the system of equations for the remaining coefficients: c_1 = 11 c_2 = 11/2 c_3 = 1 c_4 = 4 c_5 = 3 c_6 = 1 c_7 = 11/2 Multiply by the least common denominator, 2, to eliminate fractional coefficients: c_1 = 22 c_2 = 11 c_3 = 2 c_4 = 8 c_5 = 6 c_6 = 2 c_7 = 11 Substitute the coefficients into the chemical reaction to obtain the balanced equation: Answer: | | 22 NaOH + 11 Zn + 2 Ag_3AsO_4 ⟶ 8 H_2O + 6 Ag + 2 AsH_3 + 11 Na2ZnO2
Balance the chemical equation algebraically: NaOH + Zn + Ag_3AsO_4 ⟶ H_2O + Ag + AsH_3 + Na2ZnO2 Add stoichiometric coefficients, c_i, to the reactants and products: c_1 NaOH + c_2 Zn + c_3 Ag_3AsO_4 ⟶ c_4 H_2O + c_5 Ag + c_6 AsH_3 + c_7 Na2ZnO2 Set the number of atoms in the reactants equal to the number of atoms in the products for H, Na, O, Zn, Ag and As: H: | c_1 = 2 c_4 + 3 c_6 Na: | c_1 = 2 c_7 O: | c_1 + 4 c_3 = c_4 + 2 c_7 Zn: | c_2 = c_7 Ag: | 3 c_3 = c_5 As: | 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_3 = 1 and solve the system of equations for the remaining coefficients: c_1 = 11 c_2 = 11/2 c_3 = 1 c_4 = 4 c_5 = 3 c_6 = 1 c_7 = 11/2 Multiply by the least common denominator, 2, to eliminate fractional coefficients: c_1 = 22 c_2 = 11 c_3 = 2 c_4 = 8 c_5 = 6 c_6 = 2 c_7 = 11 Substitute the coefficients into the chemical reaction to obtain the balanced equation: Answer: | | 22 NaOH + 11 Zn + 2 Ag_3AsO_4 ⟶ 8 H_2O + 6 Ag + 2 AsH_3 + 11 Na2ZnO2

Structures

+ + ⟶ + + + Na2ZnO2
+ + ⟶ + + + Na2ZnO2

Names

sodium hydroxide + zinc + silver arsenate ⟶ water + silver + arsine + Na2ZnO2
sodium hydroxide + zinc + silver arsenate ⟶ water + silver + arsine + Na2ZnO2

Equilibrium constant

Construct the equilibrium constant, K, expression for: NaOH + Zn + Ag_3AsO_4 ⟶ H_2O + Ag + AsH_3 + Na2ZnO2 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: 22 NaOH + 11 Zn + 2 Ag_3AsO_4 ⟶ 8 H_2O + 6 Ag + 2 AsH_3 + 11 Na2ZnO2 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 NaOH | 22 | -22 Zn | 11 | -11 Ag_3AsO_4 | 2 | -2 H_2O | 8 | 8 Ag | 6 | 6 AsH_3 | 2 | 2 Na2ZnO2 | 11 | 11 Assemble the activity expressions accounting for the state of matter and ν_i: chemical species | c_i | ν_i | activity expression NaOH | 22 | -22 | ([NaOH])^(-22) Zn | 11 | -11 | ([Zn])^(-11) Ag_3AsO_4 | 2 | -2 | ([Ag3AsO4])^(-2) H_2O | 8 | 8 | ([H2O])^8 Ag | 6 | 6 | ([Ag])^6 AsH_3 | 2 | 2 | ([AsH3])^2 Na2ZnO2 | 11 | 11 | ([Na2ZnO2])^11 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 = ([NaOH])^(-22) ([Zn])^(-11) ([Ag3AsO4])^(-2) ([H2O])^8 ([Ag])^6 ([AsH3])^2 ([Na2ZnO2])^11 = (([H2O])^8 ([Ag])^6 ([AsH3])^2 ([Na2ZnO2])^11)/(([NaOH])^22 ([Zn])^11 ([Ag3AsO4])^2)
Construct the equilibrium constant, K, expression for: NaOH + Zn + Ag_3AsO_4 ⟶ H_2O + Ag + AsH_3 + Na2ZnO2 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: 22 NaOH + 11 Zn + 2 Ag_3AsO_4 ⟶ 8 H_2O + 6 Ag + 2 AsH_3 + 11 Na2ZnO2 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 NaOH | 22 | -22 Zn | 11 | -11 Ag_3AsO_4 | 2 | -2 H_2O | 8 | 8 Ag | 6 | 6 AsH_3 | 2 | 2 Na2ZnO2 | 11 | 11 Assemble the activity expressions accounting for the state of matter and ν_i: chemical species | c_i | ν_i | activity expression NaOH | 22 | -22 | ([NaOH])^(-22) Zn | 11 | -11 | ([Zn])^(-11) Ag_3AsO_4 | 2 | -2 | ([Ag3AsO4])^(-2) H_2O | 8 | 8 | ([H2O])^8 Ag | 6 | 6 | ([Ag])^6 AsH_3 | 2 | 2 | ([AsH3])^2 Na2ZnO2 | 11 | 11 | ([Na2ZnO2])^11 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 = ([NaOH])^(-22) ([Zn])^(-11) ([Ag3AsO4])^(-2) ([H2O])^8 ([Ag])^6 ([AsH3])^2 ([Na2ZnO2])^11 = (([H2O])^8 ([Ag])^6 ([AsH3])^2 ([Na2ZnO2])^11)/(([NaOH])^22 ([Zn])^11 ([Ag3AsO4])^2)

Rate of reaction

Construct the rate of reaction expression for: NaOH + Zn + Ag_3AsO_4 ⟶ H_2O + Ag + AsH_3 + Na2ZnO2 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: 22 NaOH + 11 Zn + 2 Ag_3AsO_4 ⟶ 8 H_2O + 6 Ag + 2 AsH_3 + 11 Na2ZnO2 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 NaOH | 22 | -22 Zn | 11 | -11 Ag_3AsO_4 | 2 | -2 H_2O | 8 | 8 Ag | 6 | 6 AsH_3 | 2 | 2 Na2ZnO2 | 11 | 11 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 NaOH | 22 | -22 | -1/22 (Δ[NaOH])/(Δt) Zn | 11 | -11 | -1/11 (Δ[Zn])/(Δt) Ag_3AsO_4 | 2 | -2 | -1/2 (Δ[Ag3AsO4])/(Δt) H_2O | 8 | 8 | 1/8 (Δ[H2O])/(Δt) Ag | 6 | 6 | 1/6 (Δ[Ag])/(Δt) AsH_3 | 2 | 2 | 1/2 (Δ[AsH3])/(Δt) Na2ZnO2 | 11 | 11 | 1/11 (Δ[Na2ZnO2])/(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 = -1/22 (Δ[NaOH])/(Δt) = -1/11 (Δ[Zn])/(Δt) = -1/2 (Δ[Ag3AsO4])/(Δt) = 1/8 (Δ[H2O])/(Δt) = 1/6 (Δ[Ag])/(Δt) = 1/2 (Δ[AsH3])/(Δt) = 1/11 (Δ[Na2ZnO2])/(Δt) (assuming constant volume and no accumulation of intermediates or side products)
Construct the rate of reaction expression for: NaOH + Zn + Ag_3AsO_4 ⟶ H_2O + Ag + AsH_3 + Na2ZnO2 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: 22 NaOH + 11 Zn + 2 Ag_3AsO_4 ⟶ 8 H_2O + 6 Ag + 2 AsH_3 + 11 Na2ZnO2 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 NaOH | 22 | -22 Zn | 11 | -11 Ag_3AsO_4 | 2 | -2 H_2O | 8 | 8 Ag | 6 | 6 AsH_3 | 2 | 2 Na2ZnO2 | 11 | 11 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 NaOH | 22 | -22 | -1/22 (Δ[NaOH])/(Δt) Zn | 11 | -11 | -1/11 (Δ[Zn])/(Δt) Ag_3AsO_4 | 2 | -2 | -1/2 (Δ[Ag3AsO4])/(Δt) H_2O | 8 | 8 | 1/8 (Δ[H2O])/(Δt) Ag | 6 | 6 | 1/6 (Δ[Ag])/(Δt) AsH_3 | 2 | 2 | 1/2 (Δ[AsH3])/(Δt) Na2ZnO2 | 11 | 11 | 1/11 (Δ[Na2ZnO2])/(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 = -1/22 (Δ[NaOH])/(Δt) = -1/11 (Δ[Zn])/(Δt) = -1/2 (Δ[Ag3AsO4])/(Δt) = 1/8 (Δ[H2O])/(Δt) = 1/6 (Δ[Ag])/(Δt) = 1/2 (Δ[AsH3])/(Δt) = 1/11 (Δ[Na2ZnO2])/(Δt) (assuming constant volume and no accumulation of intermediates or side products)

Chemical names and formulas

| sodium hydroxide | zinc | silver arsenate | water | silver | arsine | Na2ZnO2 formula | NaOH | Zn | Ag_3AsO_4 | H_2O | Ag | AsH_3 | Na2ZnO2 Hill formula | HNaO | Zn | Ag_3AsO_4 | H_2O | Ag | AsH_3 | Na2O2Zn name | sodium hydroxide | zinc | silver arsenate | water | silver | arsine | IUPAC name | sodium hydroxide | zinc | trisilver arsorate | water | silver | arsane |
| sodium hydroxide | zinc | silver arsenate | water | silver | arsine | Na2ZnO2 formula | NaOH | Zn | Ag_3AsO_4 | H_2O | Ag | AsH_3 | Na2ZnO2 Hill formula | HNaO | Zn | Ag_3AsO_4 | H_2O | Ag | AsH_3 | Na2O2Zn name | sodium hydroxide | zinc | silver arsenate | water | silver | arsine | IUPAC name | sodium hydroxide | zinc | trisilver arsorate | water | silver | arsane |

Substance properties

| sodium hydroxide | zinc | silver arsenate | water | silver | arsine | Na2ZnO2 molar mass | 39.997 g/mol | 65.38 g/mol | 462.522 g/mol | 18.015 g/mol | 107.8682 g/mol | 77.946 g/mol | 143.4 g/mol phase | solid (at STP) | solid (at STP) | | liquid (at STP) | solid (at STP) | gas (at STP) | melting point | 323 °C | 420 °C | | 0 °C | 960 °C | -111.2 °C | boiling point | 1390 °C | 907 °C | | 99.9839 °C | 2212 °C | -62.5 °C | density | 2.13 g/cm^3 | 7.14 g/cm^3 | | 1 g/cm^3 | 10.49 g/cm^3 | 0.003186 g/cm^3 (at 25 °C) | solubility in water | soluble | insoluble | | | insoluble | | surface tension | 0.07435 N/m | | | 0.0728 N/m | | | dynamic viscosity | 0.004 Pa s (at 350 °C) | | | 8.9×10^-4 Pa s (at 25 °C) | | 1.47×10^-5 Pa s (at 0 °C) | odor | | odorless | | odorless | | |
| sodium hydroxide | zinc | silver arsenate | water | silver | arsine | Na2ZnO2 molar mass | 39.997 g/mol | 65.38 g/mol | 462.522 g/mol | 18.015 g/mol | 107.8682 g/mol | 77.946 g/mol | 143.4 g/mol phase | solid (at STP) | solid (at STP) | | liquid (at STP) | solid (at STP) | gas (at STP) | melting point | 323 °C | 420 °C | | 0 °C | 960 °C | -111.2 °C | boiling point | 1390 °C | 907 °C | | 99.9839 °C | 2212 °C | -62.5 °C | density | 2.13 g/cm^3 | 7.14 g/cm^3 | | 1 g/cm^3 | 10.49 g/cm^3 | 0.003186 g/cm^3 (at 25 °C) | solubility in water | soluble | insoluble | | | insoluble | | surface tension | 0.07435 N/m | | | 0.0728 N/m | | | dynamic viscosity | 0.004 Pa s (at 350 °C) | | | 8.9×10^-4 Pa s (at 25 °C) | | 1.47×10^-5 Pa s (at 0 °C) | odor | | odorless | | odorless | | |

Units

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