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Fe2O3 + NaC2H3O2 = Na2O + Fe(C2H3O2)3

Input interpretation

Fe_2O_3 iron(III) oxide + CH_3COONa sodium acetate ⟶ Na_2O sodium oxide + Fe(C2H3O2)3
Fe_2O_3 iron(III) oxide + CH_3COONa sodium acetate ⟶ Na_2O sodium oxide + Fe(C2H3O2)3

Balanced equation

Balance the chemical equation algebraically: Fe_2O_3 + CH_3COONa ⟶ Na_2O + Fe(C2H3O2)3 Add stoichiometric coefficients, c_i, to the reactants and products: c_1 Fe_2O_3 + c_2 CH_3COONa ⟶ c_3 Na_2O + c_4 Fe(C2H3O2)3 Set the number of atoms in the reactants equal to the number of atoms in the products for Fe, O, C, H and Na: Fe: | 2 c_1 = c_4 O: | 3 c_1 + 2 c_2 = c_3 + 6 c_4 C: | 2 c_2 = 6 c_4 H: | 3 c_2 = 9 c_4 Na: | c_2 = 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 = 6 c_3 = 3 c_4 = 2 Substitute the coefficients into the chemical reaction to obtain the balanced equation: Answer: | | Fe_2O_3 + 6 CH_3COONa ⟶ 3 Na_2O + 2 Fe(C2H3O2)3
Balance the chemical equation algebraically: Fe_2O_3 + CH_3COONa ⟶ Na_2O + Fe(C2H3O2)3 Add stoichiometric coefficients, c_i, to the reactants and products: c_1 Fe_2O_3 + c_2 CH_3COONa ⟶ c_3 Na_2O + c_4 Fe(C2H3O2)3 Set the number of atoms in the reactants equal to the number of atoms in the products for Fe, O, C, H and Na: Fe: | 2 c_1 = c_4 O: | 3 c_1 + 2 c_2 = c_3 + 6 c_4 C: | 2 c_2 = 6 c_4 H: | 3 c_2 = 9 c_4 Na: | c_2 = 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 = 6 c_3 = 3 c_4 = 2 Substitute the coefficients into the chemical reaction to obtain the balanced equation: Answer: | | Fe_2O_3 + 6 CH_3COONa ⟶ 3 Na_2O + 2 Fe(C2H3O2)3

Structures

+ ⟶ + Fe(C2H3O2)3
+ ⟶ + Fe(C2H3O2)3

Names

iron(III) oxide + sodium acetate ⟶ sodium oxide + Fe(C2H3O2)3
iron(III) oxide + sodium acetate ⟶ sodium oxide + Fe(C2H3O2)3

Equilibrium constant

Construct the equilibrium constant, K, expression for: Fe_2O_3 + CH_3COONa ⟶ Na_2O + Fe(C2H3O2)3 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: Fe_2O_3 + 6 CH_3COONa ⟶ 3 Na_2O + 2 Fe(C2H3O2)3 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 Fe_2O_3 | 1 | -1 CH_3COONa | 6 | -6 Na_2O | 3 | 3 Fe(C2H3O2)3 | 2 | 2 Assemble the activity expressions accounting for the state of matter and ν_i: chemical species | c_i | ν_i | activity expression Fe_2O_3 | 1 | -1 | ([Fe2O3])^(-1) CH_3COONa | 6 | -6 | ([CH3COONa])^(-6) Na_2O | 3 | 3 | ([Na2O])^3 Fe(C2H3O2)3 | 2 | 2 | ([Fe(C2H3O2)3])^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 = ([Fe2O3])^(-1) ([CH3COONa])^(-6) ([Na2O])^3 ([Fe(C2H3O2)3])^2 = (([Na2O])^3 ([Fe(C2H3O2)3])^2)/([Fe2O3] ([CH3COONa])^6)
Construct the equilibrium constant, K, expression for: Fe_2O_3 + CH_3COONa ⟶ Na_2O + Fe(C2H3O2)3 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: Fe_2O_3 + 6 CH_3COONa ⟶ 3 Na_2O + 2 Fe(C2H3O2)3 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 Fe_2O_3 | 1 | -1 CH_3COONa | 6 | -6 Na_2O | 3 | 3 Fe(C2H3O2)3 | 2 | 2 Assemble the activity expressions accounting for the state of matter and ν_i: chemical species | c_i | ν_i | activity expression Fe_2O_3 | 1 | -1 | ([Fe2O3])^(-1) CH_3COONa | 6 | -6 | ([CH3COONa])^(-6) Na_2O | 3 | 3 | ([Na2O])^3 Fe(C2H3O2)3 | 2 | 2 | ([Fe(C2H3O2)3])^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 = ([Fe2O3])^(-1) ([CH3COONa])^(-6) ([Na2O])^3 ([Fe(C2H3O2)3])^2 = (([Na2O])^3 ([Fe(C2H3O2)3])^2)/([Fe2O3] ([CH3COONa])^6)

Rate of reaction

Construct the rate of reaction expression for: Fe_2O_3 + CH_3COONa ⟶ Na_2O + Fe(C2H3O2)3 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: Fe_2O_3 + 6 CH_3COONa ⟶ 3 Na_2O + 2 Fe(C2H3O2)3 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 Fe_2O_3 | 1 | -1 CH_3COONa | 6 | -6 Na_2O | 3 | 3 Fe(C2H3O2)3 | 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 Fe_2O_3 | 1 | -1 | -(Δ[Fe2O3])/(Δt) CH_3COONa | 6 | -6 | -1/6 (Δ[CH3COONa])/(Δt) Na_2O | 3 | 3 | 1/3 (Δ[Na2O])/(Δt) Fe(C2H3O2)3 | 2 | 2 | 1/2 (Δ[Fe(C2H3O2)3])/(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[Fe2O3])/(Δt) = -1/6 (Δ[CH3COONa])/(Δt) = 1/3 (Δ[Na2O])/(Δt) = 1/2 (Δ[Fe(C2H3O2)3])/(Δt) (assuming constant volume and no accumulation of intermediates or side products)
Construct the rate of reaction expression for: Fe_2O_3 + CH_3COONa ⟶ Na_2O + Fe(C2H3O2)3 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: Fe_2O_3 + 6 CH_3COONa ⟶ 3 Na_2O + 2 Fe(C2H3O2)3 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 Fe_2O_3 | 1 | -1 CH_3COONa | 6 | -6 Na_2O | 3 | 3 Fe(C2H3O2)3 | 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 Fe_2O_3 | 1 | -1 | -(Δ[Fe2O3])/(Δt) CH_3COONa | 6 | -6 | -1/6 (Δ[CH3COONa])/(Δt) Na_2O | 3 | 3 | 1/3 (Δ[Na2O])/(Δt) Fe(C2H3O2)3 | 2 | 2 | 1/2 (Δ[Fe(C2H3O2)3])/(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[Fe2O3])/(Δt) = -1/6 (Δ[CH3COONa])/(Δt) = 1/3 (Δ[Na2O])/(Δt) = 1/2 (Δ[Fe(C2H3O2)3])/(Δt) (assuming constant volume and no accumulation of intermediates or side products)

Chemical names and formulas

| iron(III) oxide | sodium acetate | sodium oxide | Fe(C2H3O2)3 formula | Fe_2O_3 | CH_3COONa | Na_2O | Fe(C2H3O2)3 Hill formula | Fe_2O_3 | C_2H_3NaO_2 | Na_2O | C6H9FeO6 name | iron(III) oxide | sodium acetate | sodium oxide | IUPAC name | | sodium acetate | disodium oxygen(-2) anion |
| iron(III) oxide | sodium acetate | sodium oxide | Fe(C2H3O2)3 formula | Fe_2O_3 | CH_3COONa | Na_2O | Fe(C2H3O2)3 Hill formula | Fe_2O_3 | C_2H_3NaO_2 | Na_2O | C6H9FeO6 name | iron(III) oxide | sodium acetate | sodium oxide | IUPAC name | | sodium acetate | disodium oxygen(-2) anion |

Substance properties

| iron(III) oxide | sodium acetate | sodium oxide | Fe(C2H3O2)3 molar mass | 159.69 g/mol | 82.034 g/mol | 61.979 g/mol | 232.98 g/mol phase | solid (at STP) | solid (at STP) | | melting point | 1565 °C | 300 °C | | boiling point | | 881.4 °C | | density | 5.26 g/cm^3 | 1.528 g/cm^3 | 2.27 g/cm^3 | solubility in water | insoluble | soluble | | odor | odorless | odorless | |
| iron(III) oxide | sodium acetate | sodium oxide | Fe(C2H3O2)3 molar mass | 159.69 g/mol | 82.034 g/mol | 61.979 g/mol | 232.98 g/mol phase | solid (at STP) | solid (at STP) | | melting point | 1565 °C | 300 °C | | boiling point | | 881.4 °C | | density | 5.26 g/cm^3 | 1.528 g/cm^3 | 2.27 g/cm^3 | solubility in water | insoluble | soluble | | odor | odorless | odorless | |

Units

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