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HCl + H2S + Na2MoO4 = H2O + NaCl + MoS3

Input interpretation

HCl hydrogen chloride + H_2S hydrogen sulfide + Na_2MoO_4 sodium molybdate ⟶ H_2O water + NaCl sodium chloride + S_3Mo_1 molybdenum(VI) sulfide
HCl hydrogen chloride + H_2S hydrogen sulfide + Na_2MoO_4 sodium molybdate ⟶ H_2O water + NaCl sodium chloride + S_3Mo_1 molybdenum(VI) sulfide

Balanced equation

Balance the chemical equation algebraically: HCl + H_2S + Na_2MoO_4 ⟶ H_2O + NaCl + S_3Mo_1 Add stoichiometric coefficients, c_i, to the reactants and products: c_1 HCl + c_2 H_2S + c_3 Na_2MoO_4 ⟶ c_4 H_2O + c_5 NaCl + c_6 S_3Mo_1 Set the number of atoms in the reactants equal to the number of atoms in the products for Cl, H, S, Mo, Na and O: Cl: | c_1 = c_5 H: | c_1 + 2 c_2 = 2 c_4 S: | c_2 = 3 c_6 Mo: | c_3 = c_6 Na: | 2 c_3 = c_5 O: | 4 c_3 = 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_3 = 1 and solve the system of equations for the remaining coefficients: c_1 = 2 c_2 = 3 c_3 = 1 c_4 = 4 c_5 = 2 c_6 = 1 Substitute the coefficients into the chemical reaction to obtain the balanced equation: Answer: | | 2 HCl + 3 H_2S + Na_2MoO_4 ⟶ 4 H_2O + 2 NaCl + S_3Mo_1
Balance the chemical equation algebraically: HCl + H_2S + Na_2MoO_4 ⟶ H_2O + NaCl + S_3Mo_1 Add stoichiometric coefficients, c_i, to the reactants and products: c_1 HCl + c_2 H_2S + c_3 Na_2MoO_4 ⟶ c_4 H_2O + c_5 NaCl + c_6 S_3Mo_1 Set the number of atoms in the reactants equal to the number of atoms in the products for Cl, H, S, Mo, Na and O: Cl: | c_1 = c_5 H: | c_1 + 2 c_2 = 2 c_4 S: | c_2 = 3 c_6 Mo: | c_3 = c_6 Na: | 2 c_3 = c_5 O: | 4 c_3 = 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_3 = 1 and solve the system of equations for the remaining coefficients: c_1 = 2 c_2 = 3 c_3 = 1 c_4 = 4 c_5 = 2 c_6 = 1 Substitute the coefficients into the chemical reaction to obtain the balanced equation: Answer: | | 2 HCl + 3 H_2S + Na_2MoO_4 ⟶ 4 H_2O + 2 NaCl + S_3Mo_1

Structures

+ + ⟶ + +
+ + ⟶ + +

Names

hydrogen chloride + hydrogen sulfide + sodium molybdate ⟶ water + sodium chloride + molybdenum(VI) sulfide
hydrogen chloride + hydrogen sulfide + sodium molybdate ⟶ water + sodium chloride + molybdenum(VI) sulfide

Equilibrium constant

Construct the equilibrium constant, K, expression for: HCl + H_2S + Na_2MoO_4 ⟶ H_2O + NaCl + S_3Mo_1 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: 2 HCl + 3 H_2S + Na_2MoO_4 ⟶ 4 H_2O + 2 NaCl + S_3Mo_1 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 HCl | 2 | -2 H_2S | 3 | -3 Na_2MoO_4 | 1 | -1 H_2O | 4 | 4 NaCl | 2 | 2 S_3Mo_1 | 1 | 1 Assemble the activity expressions accounting for the state of matter and ν_i: chemical species | c_i | ν_i | activity expression HCl | 2 | -2 | ([HCl])^(-2) H_2S | 3 | -3 | ([H2S])^(-3) Na_2MoO_4 | 1 | -1 | ([Na2MoO4])^(-1) H_2O | 4 | 4 | ([H2O])^4 NaCl | 2 | 2 | ([NaCl])^2 S_3Mo_1 | 1 | 1 | [S3Mo1] 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 = ([HCl])^(-2) ([H2S])^(-3) ([Na2MoO4])^(-1) ([H2O])^4 ([NaCl])^2 [S3Mo1] = (([H2O])^4 ([NaCl])^2 [S3Mo1])/(([HCl])^2 ([H2S])^3 [Na2MoO4])
Construct the equilibrium constant, K, expression for: HCl + H_2S + Na_2MoO_4 ⟶ H_2O + NaCl + S_3Mo_1 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: 2 HCl + 3 H_2S + Na_2MoO_4 ⟶ 4 H_2O + 2 NaCl + S_3Mo_1 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 HCl | 2 | -2 H_2S | 3 | -3 Na_2MoO_4 | 1 | -1 H_2O | 4 | 4 NaCl | 2 | 2 S_3Mo_1 | 1 | 1 Assemble the activity expressions accounting for the state of matter and ν_i: chemical species | c_i | ν_i | activity expression HCl | 2 | -2 | ([HCl])^(-2) H_2S | 3 | -3 | ([H2S])^(-3) Na_2MoO_4 | 1 | -1 | ([Na2MoO4])^(-1) H_2O | 4 | 4 | ([H2O])^4 NaCl | 2 | 2 | ([NaCl])^2 S_3Mo_1 | 1 | 1 | [S3Mo1] 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 = ([HCl])^(-2) ([H2S])^(-3) ([Na2MoO4])^(-1) ([H2O])^4 ([NaCl])^2 [S3Mo1] = (([H2O])^4 ([NaCl])^2 [S3Mo1])/(([HCl])^2 ([H2S])^3 [Na2MoO4])

Rate of reaction

Construct the rate of reaction expression for: HCl + H_2S + Na_2MoO_4 ⟶ H_2O + NaCl + S_3Mo_1 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: 2 HCl + 3 H_2S + Na_2MoO_4 ⟶ 4 H_2O + 2 NaCl + S_3Mo_1 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 HCl | 2 | -2 H_2S | 3 | -3 Na_2MoO_4 | 1 | -1 H_2O | 4 | 4 NaCl | 2 | 2 S_3Mo_1 | 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 HCl | 2 | -2 | -1/2 (Δ[HCl])/(Δt) H_2S | 3 | -3 | -1/3 (Δ[H2S])/(Δt) Na_2MoO_4 | 1 | -1 | -(Δ[Na2MoO4])/(Δt) H_2O | 4 | 4 | 1/4 (Δ[H2O])/(Δt) NaCl | 2 | 2 | 1/2 (Δ[NaCl])/(Δt) S_3Mo_1 | 1 | 1 | (Δ[S3Mo1])/(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 = -1/2 (Δ[HCl])/(Δt) = -1/3 (Δ[H2S])/(Δt) = -(Δ[Na2MoO4])/(Δt) = 1/4 (Δ[H2O])/(Δt) = 1/2 (Δ[NaCl])/(Δt) = (Δ[S3Mo1])/(Δt) (assuming constant volume and no accumulation of intermediates or side products)
Construct the rate of reaction expression for: HCl + H_2S + Na_2MoO_4 ⟶ H_2O + NaCl + S_3Mo_1 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: 2 HCl + 3 H_2S + Na_2MoO_4 ⟶ 4 H_2O + 2 NaCl + S_3Mo_1 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 HCl | 2 | -2 H_2S | 3 | -3 Na_2MoO_4 | 1 | -1 H_2O | 4 | 4 NaCl | 2 | 2 S_3Mo_1 | 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 HCl | 2 | -2 | -1/2 (Δ[HCl])/(Δt) H_2S | 3 | -3 | -1/3 (Δ[H2S])/(Δt) Na_2MoO_4 | 1 | -1 | -(Δ[Na2MoO4])/(Δt) H_2O | 4 | 4 | 1/4 (Δ[H2O])/(Δt) NaCl | 2 | 2 | 1/2 (Δ[NaCl])/(Δt) S_3Mo_1 | 1 | 1 | (Δ[S3Mo1])/(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 = -1/2 (Δ[HCl])/(Δt) = -1/3 (Δ[H2S])/(Δt) = -(Δ[Na2MoO4])/(Δt) = 1/4 (Δ[H2O])/(Δt) = 1/2 (Δ[NaCl])/(Δt) = (Δ[S3Mo1])/(Δt) (assuming constant volume and no accumulation of intermediates or side products)

Chemical names and formulas

| hydrogen chloride | hydrogen sulfide | sodium molybdate | water | sodium chloride | molybdenum(VI) sulfide formula | HCl | H_2S | Na_2MoO_4 | H_2O | NaCl | S_3Mo_1 Hill formula | ClH | H_2S | MoNa_2O_4 | H_2O | ClNa | MoS_3 name | hydrogen chloride | hydrogen sulfide | sodium molybdate | water | sodium chloride | molybdenum(VI) sulfide IUPAC name | hydrogen chloride | hydrogen sulfide | disodium dioxido-dioxomolybdenum | water | sodium chloride | tris(sulfanylidene)molybdenum
| hydrogen chloride | hydrogen sulfide | sodium molybdate | water | sodium chloride | molybdenum(VI) sulfide formula | HCl | H_2S | Na_2MoO_4 | H_2O | NaCl | S_3Mo_1 Hill formula | ClH | H_2S | MoNa_2O_4 | H_2O | ClNa | MoS_3 name | hydrogen chloride | hydrogen sulfide | sodium molybdate | water | sodium chloride | molybdenum(VI) sulfide IUPAC name | hydrogen chloride | hydrogen sulfide | disodium dioxido-dioxomolybdenum | water | sodium chloride | tris(sulfanylidene)molybdenum

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