O2 + H2S + Ag = H2O + AgS

O_2 oxygen + H_2S hydrogen sulfide + Ag silver ⟶ H_2O water + AgS

Balance the chemical equation algebraically: O_2 + H_2S + Ag ⟶ H_2O + AgS Add stoichiometric coefficients, c_i, to the reactants and products: c_1 O_2 + c_2 H_2S + c_3 Ag ⟶ c_4 H_2O + c_5 AgS Set the number of atoms in the reactants equal to the number of atoms in the products for O, H, S and Ag: O: | 2 c_1 = c_4 H: | 2 c_2 = 2 c_4 S: | c_2 = c_5 Ag: | c_3 = c_5 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 = 2 c_3 = 2 c_4 = 2 c_5 = 2 Substitute the coefficients into the chemical reaction to obtain the balanced equation: Answer: | | O_2 + 2 H_2S + 2 Ag ⟶ 2 H_2O + 2 AgS

+ + ⟶ + AgS

oxygen + hydrogen sulfide + silver ⟶ water + AgS

Construct the equilibrium constant, K, expression for: O_2 + H_2S + Ag ⟶ H_2O + AgS 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: O_2 + 2 H_2S + 2 Ag ⟶ 2 H_2O + 2 AgS 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 O_2 | 1 | -1 H_2S | 2 | -2 Ag | 2 | -2 H_2O | 2 | 2 AgS | 2 | 2 Assemble the activity expressions accounting for the state of matter and ν_i: chemical species | c_i | ν_i | activity expression O_2 | 1 | -1 | ([O2])^(-1) H_2S | 2 | -2 | ([H2S])^(-2) Ag | 2 | -2 | ([Ag])^(-2) H_2O | 2 | 2 | ([H2O])^2 AgS | 2 | 2 | ([AgS])^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 = ([O2])^(-1) ([H2S])^(-2) ([Ag])^(-2) ([H2O])^2 ([AgS])^2 = (([H2O])^2 ([AgS])^2)/([O2] ([H2S])^2 ([Ag])^2)

Construct the rate of reaction expression for: O_2 + H_2S + Ag ⟶ H_2O + AgS 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: O_2 + 2 H_2S + 2 Ag ⟶ 2 H_2O + 2 AgS 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 O_2 | 1 | -1 H_2S | 2 | -2 Ag | 2 | -2 H_2O | 2 | 2 AgS | 2 | 2 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 O_2 | 1 | -1 | -(Δ[O2])/(Δt) H_2S | 2 | -2 | -1/2 (Δ[H2S])/(Δt) Ag | 2 | -2 | -1/2 (Δ[Ag])/(Δt) H_2O | 2 | 2 | 1/2 (Δ[H2O])/(Δt) AgS | 2 | 2 | 1/2 (Δ[AgS])/(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[O2])/(Δt) = -1/2 (Δ[H2S])/(Δt) = -1/2 (Δ[Ag])/(Δt) = 1/2 (Δ[H2O])/(Δt) = 1/2 (Δ[AgS])/(Δt) (assuming constant volume and no accumulation of intermediates or side products)

| oxygen | hydrogen sulfide | silver | water | AgS formula | O_2 | H_2S | Ag | H_2O | AgS name | oxygen | hydrogen sulfide | silver | water | IUPAC name | molecular oxygen | hydrogen sulfide | silver | water |

| oxygen | hydrogen sulfide | silver | water | AgS molar mass | 31.998 g/mol | 34.08 g/mol | 107.8682 g/mol | 18.015 g/mol | 139.93 g/mol phase | gas (at STP) | gas (at STP) | solid (at STP) | liquid (at STP) | melting point | -218 °C | -85 °C | 960 °C | 0 °C | boiling point | -183 °C | -60 °C | 2212 °C | 99.9839 °C | density | 0.001429 g/cm^3 (at 0 °C) | 0.001393 g/cm^3 (at 25 °C) | 10.49 g/cm^3 | 1 g/cm^3 | solubility in water | | | insoluble | | surface tension | 0.01347 N/m | | | 0.0728 N/m | dynamic viscosity | 2.055×10^-5 Pa s (at 25 °C) | 1.239×10^-5 Pa s (at 25 °C) | | 8.9×10^-4 Pa s (at 25 °C) | odor | odorless | | | odorless |