Input interpretation
![S (mixed sulfur) + Fe (iron) ⟶ FeS (ferrous sulfide)](../image_source/c234d56da04b4581946bac71612e8c74.png)
S (mixed sulfur) + Fe (iron) ⟶ FeS (ferrous sulfide)
Balanced equation
![Balance the chemical equation algebraically: S + Fe ⟶ FeS Add stoichiometric coefficients, c_i, to the reactants and products: c_1 S + c_2 Fe ⟶ c_3 FeS Set the number of atoms in the reactants equal to the number of atoms in the products for S and Fe: S: | c_1 = c_3 Fe: | c_2 = c_3 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 = 1 Substitute the coefficients into the chemical reaction to obtain the balanced equation: Answer: | | S + Fe ⟶ FeS](../image_source/ae5978d0287dd6436c79fda1e52a3018.png)
Balance the chemical equation algebraically: S + Fe ⟶ FeS Add stoichiometric coefficients, c_i, to the reactants and products: c_1 S + c_2 Fe ⟶ c_3 FeS Set the number of atoms in the reactants equal to the number of atoms in the products for S and Fe: S: | c_1 = c_3 Fe: | c_2 = c_3 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 = 1 Substitute the coefficients into the chemical reaction to obtain the balanced equation: Answer: | | S + Fe ⟶ FeS
Structures
![+ ⟶](../image_source/a51b7696d4f6ccb16cddafc35afd0ea8.png)
+ ⟶
Names
![mixed sulfur + iron ⟶ ferrous sulfide](../image_source/11b04c51f048cf40c8ba67680d10edbb.png)
mixed sulfur + iron ⟶ ferrous sulfide
Equilibrium constant
![Construct the equilibrium constant, K, expression for: S + Fe ⟶ 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: S + Fe ⟶ 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 S | 1 | -1 Fe | 1 | -1 FeS | 1 | 1 Assemble the activity expressions accounting for the state of matter and ν_i: chemical species | c_i | ν_i | activity expression S | 1 | -1 | ([S])^(-1) Fe | 1 | -1 | ([Fe])^(-1) FeS | 1 | 1 | [FeS] 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 = ([S])^(-1) ([Fe])^(-1) [FeS] = ([FeS])/([S] [Fe])](../image_source/2ad2dac2f8f7e790722d7e2f4330d95b.png)
Construct the equilibrium constant, K, expression for: S + Fe ⟶ 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: S + Fe ⟶ 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 S | 1 | -1 Fe | 1 | -1 FeS | 1 | 1 Assemble the activity expressions accounting for the state of matter and ν_i: chemical species | c_i | ν_i | activity expression S | 1 | -1 | ([S])^(-1) Fe | 1 | -1 | ([Fe])^(-1) FeS | 1 | 1 | [FeS] 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 = ([S])^(-1) ([Fe])^(-1) [FeS] = ([FeS])/([S] [Fe])
Rate of reaction
![Construct the rate of reaction expression for: S + Fe ⟶ 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: S + Fe ⟶ 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 S | 1 | -1 Fe | 1 | -1 FeS | 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 S | 1 | -1 | -(Δ[S])/(Δt) Fe | 1 | -1 | -(Δ[Fe])/(Δt) FeS | 1 | 1 | (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 = -(Δ[S])/(Δt) = -(Δ[Fe])/(Δt) = (Δ[FeS])/(Δt) (assuming constant volume and no accumulation of intermediates or side products)](../image_source/21da55a3e909c0b1bb726c40b2995295.png)
Construct the rate of reaction expression for: S + Fe ⟶ 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: S + Fe ⟶ 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 S | 1 | -1 Fe | 1 | -1 FeS | 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 S | 1 | -1 | -(Δ[S])/(Δt) Fe | 1 | -1 | -(Δ[Fe])/(Δt) FeS | 1 | 1 | (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 = -(Δ[S])/(Δt) = -(Δ[Fe])/(Δt) = (Δ[FeS])/(Δt) (assuming constant volume and no accumulation of intermediates or side products)
Chemical names and formulas
![| mixed sulfur | iron | ferrous sulfide formula | S | Fe | FeS name | mixed sulfur | iron | ferrous sulfide IUPAC name | sulfur | iron |](../image_source/c593614a03cf2a4fb199d7ddc66d45cb.png)
| mixed sulfur | iron | ferrous sulfide formula | S | Fe | FeS name | mixed sulfur | iron | ferrous sulfide IUPAC name | sulfur | iron |
Substance properties
![| mixed sulfur | iron | ferrous sulfide molar mass | 32.06 g/mol | 55.845 g/mol | 87.9 g/mol phase | solid (at STP) | solid (at STP) | solid (at STP) melting point | 112.8 °C | 1535 °C | 1195 °C boiling point | 444.7 °C | 2750 °C | density | 2.07 g/cm^3 | 7.874 g/cm^3 | 4.84 g/cm^3 solubility in water | | insoluble | insoluble dynamic viscosity | | | 0.00343 Pa s (at 1250 °C)](../image_source/1a494548d11efd8abb52612ddb42b41b.png)
| mixed sulfur | iron | ferrous sulfide molar mass | 32.06 g/mol | 55.845 g/mol | 87.9 g/mol phase | solid (at STP) | solid (at STP) | solid (at STP) melting point | 112.8 °C | 1535 °C | 1195 °C boiling point | 444.7 °C | 2750 °C | density | 2.07 g/cm^3 | 7.874 g/cm^3 | 4.84 g/cm^3 solubility in water | | insoluble | insoluble dynamic viscosity | | | 0.00343 Pa s (at 1250 °C)
Units