Input interpretation
FeSO_4 duretter + NH_4OH ammonium hydroxide ⟶ (NH_4)_2SO_4 ammonium sulfate + Fe(OH)_2 iron(II) hydroxide
Balanced equation
Balance the chemical equation algebraically: FeSO_4 + NH_4OH ⟶ (NH_4)_2SO_4 + Fe(OH)_2 Add stoichiometric coefficients, c_i, to the reactants and products: c_1 FeSO_4 + c_2 NH_4OH ⟶ c_3 (NH_4)_2SO_4 + c_4 Fe(OH)_2 Set the number of atoms in the reactants equal to the number of atoms in the products for Fe, O, S, H and N: Fe: | c_1 = c_4 O: | 4 c_1 + c_2 = 4 c_3 + 2 c_4 S: | c_1 = c_3 H: | 5 c_2 = 8 c_3 + 2 c_4 N: | 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 = 2 c_3 = 1 c_4 = 1 Substitute the coefficients into the chemical reaction to obtain the balanced equation: Answer: | | FeSO_4 + 2 NH_4OH ⟶ (NH_4)_2SO_4 + Fe(OH)_2
Structures
+ ⟶ +
Names
duretter + ammonium hydroxide ⟶ ammonium sulfate + iron(II) hydroxide
Equilibrium constant
Construct the equilibrium constant, K, expression for: FeSO_4 + NH_4OH ⟶ (NH_4)_2SO_4 + Fe(OH)_2 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: FeSO_4 + 2 NH_4OH ⟶ (NH_4)_2SO_4 + Fe(OH)_2 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 FeSO_4 | 1 | -1 NH_4OH | 2 | -2 (NH_4)_2SO_4 | 1 | 1 Fe(OH)_2 | 1 | 1 Assemble the activity expressions accounting for the state of matter and ν_i: chemical species | c_i | ν_i | activity expression FeSO_4 | 1 | -1 | ([FeSO4])^(-1) NH_4OH | 2 | -2 | ([NH4OH])^(-2) (NH_4)_2SO_4 | 1 | 1 | [(NH4)2SO4] Fe(OH)_2 | 1 | 1 | [Fe(OH)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 = ([FeSO4])^(-1) ([NH4OH])^(-2) [(NH4)2SO4] [Fe(OH)2] = ([(NH4)2SO4] [Fe(OH)2])/([FeSO4] ([NH4OH])^2)
Rate of reaction
Construct the rate of reaction expression for: FeSO_4 + NH_4OH ⟶ (NH_4)_2SO_4 + Fe(OH)_2 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: FeSO_4 + 2 NH_4OH ⟶ (NH_4)_2SO_4 + Fe(OH)_2 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 FeSO_4 | 1 | -1 NH_4OH | 2 | -2 (NH_4)_2SO_4 | 1 | 1 Fe(OH)_2 | 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 FeSO_4 | 1 | -1 | -(Δ[FeSO4])/(Δt) NH_4OH | 2 | -2 | -1/2 (Δ[NH4OH])/(Δt) (NH_4)_2SO_4 | 1 | 1 | (Δ[(NH4)2SO4])/(Δt) Fe(OH)_2 | 1 | 1 | (Δ[Fe(OH)2])/(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[FeSO4])/(Δt) = -1/2 (Δ[NH4OH])/(Δt) = (Δ[(NH4)2SO4])/(Δt) = (Δ[Fe(OH)2])/(Δt) (assuming constant volume and no accumulation of intermediates or side products)
Chemical names and formulas
| duretter | ammonium hydroxide | ammonium sulfate | iron(II) hydroxide formula | FeSO_4 | NH_4OH | (NH_4)_2SO_4 | Fe(OH)_2 Hill formula | FeO_4S | H_5NO | H_8N_2O_4S | FeH_2O_2 name | duretter | ammonium hydroxide | ammonium sulfate | iron(II) hydroxide IUPAC name | iron(+2) cation sulfate | ammonium hydroxide | | ferrous dihydroxide
Substance properties
| duretter | ammonium hydroxide | ammonium sulfate | iron(II) hydroxide molar mass | 151.9 g/mol | 35.046 g/mol | 132.1 g/mol | 89.86 g/mol phase | | aqueous (at STP) | solid (at STP) | melting point | | -57.5 °C | 280 °C | boiling point | | 36 °C | | density | 2.841 g/cm^3 | 0.9 g/cm^3 | 1.77 g/cm^3 | solubility in water | | very soluble | | odor | | | odorless |
Units