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FeCl3 + Na2S = S + NaCl + FeS

Input interpretation

FeCl_3 (iron(III) chloride) + Na_2S (sodium sulfide) ⟶ S (mixed sulfur) + NaCl (sodium chloride) + FeS (ferrous sulfide)
FeCl_3 (iron(III) chloride) + Na_2S (sodium sulfide) ⟶ S (mixed sulfur) + NaCl (sodium chloride) + FeS (ferrous sulfide)

Balanced equation

Balance the chemical equation algebraically: FeCl_3 + Na_2S ⟶ S + NaCl + FeS Add stoichiometric coefficients, c_i, to the reactants and products: c_1 FeCl_3 + c_2 Na_2S ⟶ c_3 S + c_4 NaCl + c_5 FeS Set the number of atoms in the reactants equal to the number of atoms in the products for Cl, Fe, Na and S: Cl: | 3 c_1 = c_4 Fe: | c_1 = c_5 Na: | 2 c_2 = c_4 S: | c_2 = 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_3 = 1 and solve the system of equations for the remaining coefficients: c_1 = 2 c_2 = 3 c_3 = 1 c_4 = 6 c_5 = 2 Substitute the coefficients into the chemical reaction to obtain the balanced equation: Answer: | | 2 FeCl_3 + 3 Na_2S ⟶ S + 6 NaCl + 2 FeS
Balance the chemical equation algebraically: FeCl_3 + Na_2S ⟶ S + NaCl + FeS Add stoichiometric coefficients, c_i, to the reactants and products: c_1 FeCl_3 + c_2 Na_2S ⟶ c_3 S + c_4 NaCl + c_5 FeS Set the number of atoms in the reactants equal to the number of atoms in the products for Cl, Fe, Na and S: Cl: | 3 c_1 = c_4 Fe: | c_1 = c_5 Na: | 2 c_2 = c_4 S: | c_2 = 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_3 = 1 and solve the system of equations for the remaining coefficients: c_1 = 2 c_2 = 3 c_3 = 1 c_4 = 6 c_5 = 2 Substitute the coefficients into the chemical reaction to obtain the balanced equation: Answer: | | 2 FeCl_3 + 3 Na_2S ⟶ S + 6 NaCl + 2 FeS

Structures

+ ⟶ + +
+ ⟶ + +

Names

iron(III) chloride + sodium sulfide ⟶ mixed sulfur + sodium chloride + ferrous sulfide
iron(III) chloride + sodium sulfide ⟶ mixed sulfur + sodium chloride + ferrous sulfide

Equilibrium constant

Construct the equilibrium constant, K, expression for: FeCl_3 + Na_2S ⟶ S + NaCl + FeS 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 FeCl_3 + 3 Na_2S ⟶ S + 6 NaCl + 2 FeS 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 FeCl_3 | 2 | -2 Na_2S | 3 | -3 S | 1 | 1 NaCl | 6 | 6 FeS | 2 | 2 Assemble the activity expressions accounting for the state of matter and ν_i: chemical species | c_i | ν_i | activity expression FeCl_3 | 2 | -2 | ([FeCl3])^(-2) Na_2S | 3 | -3 | ([Na2S])^(-3) S | 1 | 1 | [S] NaCl | 6 | 6 | ([NaCl])^6 FeS | 2 | 2 | ([FeS])^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 = ([FeCl3])^(-2) ([Na2S])^(-3) [S] ([NaCl])^6 ([FeS])^2 = ([S] ([NaCl])^6 ([FeS])^2)/(([FeCl3])^2 ([Na2S])^3)
Construct the equilibrium constant, K, expression for: FeCl_3 + Na_2S ⟶ S + NaCl + FeS 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 FeCl_3 + 3 Na_2S ⟶ S + 6 NaCl + 2 FeS 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 FeCl_3 | 2 | -2 Na_2S | 3 | -3 S | 1 | 1 NaCl | 6 | 6 FeS | 2 | 2 Assemble the activity expressions accounting for the state of matter and ν_i: chemical species | c_i | ν_i | activity expression FeCl_3 | 2 | -2 | ([FeCl3])^(-2) Na_2S | 3 | -3 | ([Na2S])^(-3) S | 1 | 1 | [S] NaCl | 6 | 6 | ([NaCl])^6 FeS | 2 | 2 | ([FeS])^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 = ([FeCl3])^(-2) ([Na2S])^(-3) [S] ([NaCl])^6 ([FeS])^2 = ([S] ([NaCl])^6 ([FeS])^2)/(([FeCl3])^2 ([Na2S])^3)

Rate of reaction

Construct the rate of reaction expression for: FeCl_3 + Na_2S ⟶ S + NaCl + FeS 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 FeCl_3 + 3 Na_2S ⟶ S + 6 NaCl + 2 FeS 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 FeCl_3 | 2 | -2 Na_2S | 3 | -3 S | 1 | 1 NaCl | 6 | 6 FeS | 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 FeCl_3 | 2 | -2 | -1/2 (Δ[FeCl3])/(Δt) Na_2S | 3 | -3 | -1/3 (Δ[Na2S])/(Δt) S | 1 | 1 | (Δ[S])/(Δt) NaCl | 6 | 6 | 1/6 (Δ[NaCl])/(Δt) FeS | 2 | 2 | 1/2 (Δ[FeS])/(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[FeCl3])/(Δt) = -1/3 (Δ[Na2S])/(Δt) = (Δ[S])/(Δt) = 1/6 (Δ[NaCl])/(Δt) = 1/2 (Δ[FeS])/(Δt) (assuming constant volume and no accumulation of intermediates or side products)
Construct the rate of reaction expression for: FeCl_3 + Na_2S ⟶ S + NaCl + FeS 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 FeCl_3 + 3 Na_2S ⟶ S + 6 NaCl + 2 FeS 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 FeCl_3 | 2 | -2 Na_2S | 3 | -3 S | 1 | 1 NaCl | 6 | 6 FeS | 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 FeCl_3 | 2 | -2 | -1/2 (Δ[FeCl3])/(Δt) Na_2S | 3 | -3 | -1/3 (Δ[Na2S])/(Δt) S | 1 | 1 | (Δ[S])/(Δt) NaCl | 6 | 6 | 1/6 (Δ[NaCl])/(Δt) FeS | 2 | 2 | 1/2 (Δ[FeS])/(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[FeCl3])/(Δt) = -1/3 (Δ[Na2S])/(Δt) = (Δ[S])/(Δt) = 1/6 (Δ[NaCl])/(Δt) = 1/2 (Δ[FeS])/(Δt) (assuming constant volume and no accumulation of intermediates or side products)

Chemical names and formulas

| iron(III) chloride | sodium sulfide | mixed sulfur | sodium chloride | ferrous sulfide formula | FeCl_3 | Na_2S | S | NaCl | FeS Hill formula | Cl_3Fe | Na_2S_1 | S | ClNa | FeS name | iron(III) chloride | sodium sulfide | mixed sulfur | sodium chloride | ferrous sulfide IUPAC name | trichloroiron | | sulfur | sodium chloride |
| iron(III) chloride | sodium sulfide | mixed sulfur | sodium chloride | ferrous sulfide formula | FeCl_3 | Na_2S | S | NaCl | FeS Hill formula | Cl_3Fe | Na_2S_1 | S | ClNa | FeS name | iron(III) chloride | sodium sulfide | mixed sulfur | sodium chloride | ferrous sulfide IUPAC name | trichloroiron | | sulfur | sodium chloride |

Substance properties

| iron(III) chloride | sodium sulfide | mixed sulfur | sodium chloride | ferrous sulfide molar mass | 162.2 g/mol | 78.04 g/mol | 32.06 g/mol | 58.44 g/mol | 87.9 g/mol phase | solid (at STP) | solid (at STP) | solid (at STP) | solid (at STP) | solid (at STP) melting point | 304 °C | 1172 °C | 112.8 °C | 801 °C | 1195 °C boiling point | | | 444.7 °C | 1413 °C | density | | 1.856 g/cm^3 | 2.07 g/cm^3 | 2.16 g/cm^3 | 4.84 g/cm^3 solubility in water | | | | soluble | insoluble dynamic viscosity | | | | | 0.00343 Pa s (at 1250 °C) odor | | | | odorless |
| iron(III) chloride | sodium sulfide | mixed sulfur | sodium chloride | ferrous sulfide molar mass | 162.2 g/mol | 78.04 g/mol | 32.06 g/mol | 58.44 g/mol | 87.9 g/mol phase | solid (at STP) | solid (at STP) | solid (at STP) | solid (at STP) | solid (at STP) melting point | 304 °C | 1172 °C | 112.8 °C | 801 °C | 1195 °C boiling point | | | 444.7 °C | 1413 °C | density | | 1.856 g/cm^3 | 2.07 g/cm^3 | 2.16 g/cm^3 | 4.84 g/cm^3 solubility in water | | | | soluble | insoluble dynamic viscosity | | | | | 0.00343 Pa s (at 1250 °C) odor | | | | odorless |

Units

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