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NaOH + NH4Fe(SO4)2 = H2O + Na2SO4 + NH3 + Fe(OH)3

Input interpretation

NaOH sodium hydroxide + NH4Fe(SO4)2 ⟶ H_2O water + Na_2SO_4 sodium sulfate + NH_3 ammonia + Fe(OH)_3 iron(III) hydroxide
NaOH sodium hydroxide + NH4Fe(SO4)2 ⟶ H_2O water + Na_2SO_4 sodium sulfate + NH_3 ammonia + Fe(OH)_3 iron(III) hydroxide

Balanced equation

Balance the chemical equation algebraically: NaOH + NH4Fe(SO4)2 ⟶ H_2O + Na_2SO_4 + NH_3 + Fe(OH)_3 Add stoichiometric coefficients, c_i, to the reactants and products: c_1 NaOH + c_2 NH4Fe(SO4)2 ⟶ c_3 H_2O + c_4 Na_2SO_4 + c_5 NH_3 + c_6 Fe(OH)_3 Set the number of atoms in the reactants equal to the number of atoms in the products for H, Na, O, N, Fe and S: H: | c_1 + 4 c_2 = 2 c_3 + 3 c_5 + 3 c_6 Na: | c_1 = 2 c_4 O: | c_1 + 8 c_2 = c_3 + 4 c_4 + 3 c_6 N: | c_2 = c_5 Fe: | c_2 = c_6 S: | 2 c_2 = 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_2 = 1 and solve the system of equations for the remaining coefficients: c_1 = 4 c_2 = 1 c_3 = 1 c_4 = 2 c_5 = 1 c_6 = 1 Substitute the coefficients into the chemical reaction to obtain the balanced equation: Answer: | | 4 NaOH + NH4Fe(SO4)2 ⟶ H_2O + 2 Na_2SO_4 + NH_3 + Fe(OH)_3
Balance the chemical equation algebraically: NaOH + NH4Fe(SO4)2 ⟶ H_2O + Na_2SO_4 + NH_3 + Fe(OH)_3 Add stoichiometric coefficients, c_i, to the reactants and products: c_1 NaOH + c_2 NH4Fe(SO4)2 ⟶ c_3 H_2O + c_4 Na_2SO_4 + c_5 NH_3 + c_6 Fe(OH)_3 Set the number of atoms in the reactants equal to the number of atoms in the products for H, Na, O, N, Fe and S: H: | c_1 + 4 c_2 = 2 c_3 + 3 c_5 + 3 c_6 Na: | c_1 = 2 c_4 O: | c_1 + 8 c_2 = c_3 + 4 c_4 + 3 c_6 N: | c_2 = c_5 Fe: | c_2 = c_6 S: | 2 c_2 = 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_2 = 1 and solve the system of equations for the remaining coefficients: c_1 = 4 c_2 = 1 c_3 = 1 c_4 = 2 c_5 = 1 c_6 = 1 Substitute the coefficients into the chemical reaction to obtain the balanced equation: Answer: | | 4 NaOH + NH4Fe(SO4)2 ⟶ H_2O + 2 Na_2SO_4 + NH_3 + Fe(OH)_3

Structures

+ NH4Fe(SO4)2 ⟶ + + +
+ NH4Fe(SO4)2 ⟶ + + +

Names

sodium hydroxide + NH4Fe(SO4)2 ⟶ water + sodium sulfate + ammonia + iron(III) hydroxide
sodium hydroxide + NH4Fe(SO4)2 ⟶ water + sodium sulfate + ammonia + iron(III) hydroxide

Equilibrium constant

Construct the equilibrium constant, K, expression for: NaOH + NH4Fe(SO4)2 ⟶ H_2O + Na_2SO_4 + NH_3 + Fe(OH)_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: 4 NaOH + NH4Fe(SO4)2 ⟶ H_2O + 2 Na_2SO_4 + NH_3 + Fe(OH)_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 NaOH | 4 | -4 NH4Fe(SO4)2 | 1 | -1 H_2O | 1 | 1 Na_2SO_4 | 2 | 2 NH_3 | 1 | 1 Fe(OH)_3 | 1 | 1 Assemble the activity expressions accounting for the state of matter and ν_i: chemical species | c_i | ν_i | activity expression NaOH | 4 | -4 | ([NaOH])^(-4) NH4Fe(SO4)2 | 1 | -1 | ([NH4Fe(SO4)2])^(-1) H_2O | 1 | 1 | [H2O] Na_2SO_4 | 2 | 2 | ([Na2SO4])^2 NH_3 | 1 | 1 | [NH3] Fe(OH)_3 | 1 | 1 | [Fe(OH)3] 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 = ([NaOH])^(-4) ([NH4Fe(SO4)2])^(-1) [H2O] ([Na2SO4])^2 [NH3] [Fe(OH)3] = ([H2O] ([Na2SO4])^2 [NH3] [Fe(OH)3])/(([NaOH])^4 [NH4Fe(SO4)2])
Construct the equilibrium constant, K, expression for: NaOH + NH4Fe(SO4)2 ⟶ H_2O + Na_2SO_4 + NH_3 + Fe(OH)_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: 4 NaOH + NH4Fe(SO4)2 ⟶ H_2O + 2 Na_2SO_4 + NH_3 + Fe(OH)_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 NaOH | 4 | -4 NH4Fe(SO4)2 | 1 | -1 H_2O | 1 | 1 Na_2SO_4 | 2 | 2 NH_3 | 1 | 1 Fe(OH)_3 | 1 | 1 Assemble the activity expressions accounting for the state of matter and ν_i: chemical species | c_i | ν_i | activity expression NaOH | 4 | -4 | ([NaOH])^(-4) NH4Fe(SO4)2 | 1 | -1 | ([NH4Fe(SO4)2])^(-1) H_2O | 1 | 1 | [H2O] Na_2SO_4 | 2 | 2 | ([Na2SO4])^2 NH_3 | 1 | 1 | [NH3] Fe(OH)_3 | 1 | 1 | [Fe(OH)3] 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 = ([NaOH])^(-4) ([NH4Fe(SO4)2])^(-1) [H2O] ([Na2SO4])^2 [NH3] [Fe(OH)3] = ([H2O] ([Na2SO4])^2 [NH3] [Fe(OH)3])/(([NaOH])^4 [NH4Fe(SO4)2])

Rate of reaction

Construct the rate of reaction expression for: NaOH + NH4Fe(SO4)2 ⟶ H_2O + Na_2SO_4 + NH_3 + Fe(OH)_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: 4 NaOH + NH4Fe(SO4)2 ⟶ H_2O + 2 Na_2SO_4 + NH_3 + Fe(OH)_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 NaOH | 4 | -4 NH4Fe(SO4)2 | 1 | -1 H_2O | 1 | 1 Na_2SO_4 | 2 | 2 NH_3 | 1 | 1 Fe(OH)_3 | 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 NaOH | 4 | -4 | -1/4 (Δ[NaOH])/(Δt) NH4Fe(SO4)2 | 1 | -1 | -(Δ[NH4Fe(SO4)2])/(Δt) H_2O | 1 | 1 | (Δ[H2O])/(Δt) Na_2SO_4 | 2 | 2 | 1/2 (Δ[Na2SO4])/(Δt) NH_3 | 1 | 1 | (Δ[NH3])/(Δt) Fe(OH)_3 | 1 | 1 | (Δ[Fe(OH)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 = -1/4 (Δ[NaOH])/(Δt) = -(Δ[NH4Fe(SO4)2])/(Δt) = (Δ[H2O])/(Δt) = 1/2 (Δ[Na2SO4])/(Δt) = (Δ[NH3])/(Δt) = (Δ[Fe(OH)3])/(Δt) (assuming constant volume and no accumulation of intermediates or side products)
Construct the rate of reaction expression for: NaOH + NH4Fe(SO4)2 ⟶ H_2O + Na_2SO_4 + NH_3 + Fe(OH)_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: 4 NaOH + NH4Fe(SO4)2 ⟶ H_2O + 2 Na_2SO_4 + NH_3 + Fe(OH)_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 NaOH | 4 | -4 NH4Fe(SO4)2 | 1 | -1 H_2O | 1 | 1 Na_2SO_4 | 2 | 2 NH_3 | 1 | 1 Fe(OH)_3 | 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 NaOH | 4 | -4 | -1/4 (Δ[NaOH])/(Δt) NH4Fe(SO4)2 | 1 | -1 | -(Δ[NH4Fe(SO4)2])/(Δt) H_2O | 1 | 1 | (Δ[H2O])/(Δt) Na_2SO_4 | 2 | 2 | 1/2 (Δ[Na2SO4])/(Δt) NH_3 | 1 | 1 | (Δ[NH3])/(Δt) Fe(OH)_3 | 1 | 1 | (Δ[Fe(OH)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 = -1/4 (Δ[NaOH])/(Δt) = -(Δ[NH4Fe(SO4)2])/(Δt) = (Δ[H2O])/(Δt) = 1/2 (Δ[Na2SO4])/(Δt) = (Δ[NH3])/(Δt) = (Δ[Fe(OH)3])/(Δt) (assuming constant volume and no accumulation of intermediates or side products)

Chemical names and formulas

| sodium hydroxide | NH4Fe(SO4)2 | water | sodium sulfate | ammonia | iron(III) hydroxide formula | NaOH | NH4Fe(SO4)2 | H_2O | Na_2SO_4 | NH_3 | Fe(OH)_3 Hill formula | HNaO | H4FeNO8S2 | H_2O | Na_2O_4S | H_3N | FeH_3O_3 name | sodium hydroxide | | water | sodium sulfate | ammonia | iron(III) hydroxide IUPAC name | sodium hydroxide | | water | disodium sulfate | ammonia | ferric trihydroxide
| sodium hydroxide | NH4Fe(SO4)2 | water | sodium sulfate | ammonia | iron(III) hydroxide formula | NaOH | NH4Fe(SO4)2 | H_2O | Na_2SO_4 | NH_3 | Fe(OH)_3 Hill formula | HNaO | H4FeNO8S2 | H_2O | Na_2O_4S | H_3N | FeH_3O_3 name | sodium hydroxide | | water | sodium sulfate | ammonia | iron(III) hydroxide IUPAC name | sodium hydroxide | | water | disodium sulfate | ammonia | ferric trihydroxide

Substance properties

| sodium hydroxide | NH4Fe(SO4)2 | water | sodium sulfate | ammonia | iron(III) hydroxide molar mass | 39.997 g/mol | 266 g/mol | 18.015 g/mol | 142.04 g/mol | 17.031 g/mol | 106.87 g/mol phase | solid (at STP) | | liquid (at STP) | solid (at STP) | gas (at STP) | melting point | 323 °C | | 0 °C | 884 °C | -77.73 °C | boiling point | 1390 °C | | 99.9839 °C | 1429 °C | -33.33 °C | density | 2.13 g/cm^3 | | 1 g/cm^3 | 2.68 g/cm^3 | 6.96×10^-4 g/cm^3 (at 25 °C) | solubility in water | soluble | | | soluble | | surface tension | 0.07435 N/m | | 0.0728 N/m | | 0.0234 N/m | dynamic viscosity | 0.004 Pa s (at 350 °C) | | 8.9×10^-4 Pa s (at 25 °C) | | 1.009×10^-5 Pa s (at 25 °C) | odor | | | odorless | | |
| sodium hydroxide | NH4Fe(SO4)2 | water | sodium sulfate | ammonia | iron(III) hydroxide molar mass | 39.997 g/mol | 266 g/mol | 18.015 g/mol | 142.04 g/mol | 17.031 g/mol | 106.87 g/mol phase | solid (at STP) | | liquid (at STP) | solid (at STP) | gas (at STP) | melting point | 323 °C | | 0 °C | 884 °C | -77.73 °C | boiling point | 1390 °C | | 99.9839 °C | 1429 °C | -33.33 °C | density | 2.13 g/cm^3 | | 1 g/cm^3 | 2.68 g/cm^3 | 6.96×10^-4 g/cm^3 (at 25 °C) | solubility in water | soluble | | | soluble | | surface tension | 0.07435 N/m | | 0.0728 N/m | | 0.0234 N/m | dynamic viscosity | 0.004 Pa s (at 350 °C) | | 8.9×10^-4 Pa s (at 25 °C) | | 1.009×10^-5 Pa s (at 25 °C) | odor | | | odorless | | |

Units

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