Input interpretation
NaOH sodium hydroxide + Fe(OH)_2 iron(II) hydroxide ⟶ Na sodium + Fe(OH)_3 iron(III) hydroxide
Balanced equation
Balance the chemical equation algebraically: NaOH + Fe(OH)_2 ⟶ Na + Fe(OH)_3 Add stoichiometric coefficients, c_i, to the reactants and products: c_1 NaOH + c_2 Fe(OH)_2 ⟶ c_3 Na + c_4 Fe(OH)_3 Set the number of atoms in the reactants equal to the number of atoms in the products for H, Na, O and Fe: H: | c_1 + 2 c_2 = 3 c_4 Na: | c_1 = c_3 O: | c_1 + 2 c_2 = 3 c_4 Fe: | 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_1 = 1 and solve the system of equations for the remaining coefficients: c_1 = 1 c_2 = 1 c_3 = 1 c_4 = 1 Substitute the coefficients into the chemical reaction to obtain the balanced equation: Answer: | | NaOH + Fe(OH)_2 ⟶ Na + Fe(OH)_3
Structures
+ ⟶ +
Names
sodium hydroxide + iron(II) hydroxide ⟶ sodium + iron(III) hydroxide
Equilibrium constant
Construct the equilibrium constant, K, expression for: NaOH + Fe(OH)_2 ⟶ Na + 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: NaOH + Fe(OH)_2 ⟶ Na + 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 | 1 | -1 Fe(OH)_2 | 1 | -1 Na | 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 | 1 | -1 | ([NaOH])^(-1) Fe(OH)_2 | 1 | -1 | ([Fe(OH)2])^(-1) Na | 1 | 1 | [Na] 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])^(-1) ([Fe(OH)2])^(-1) [Na] [Fe(OH)3] = ([Na] [Fe(OH)3])/([NaOH] [Fe(OH)2])
Rate of reaction
Construct the rate of reaction expression for: NaOH + Fe(OH)_2 ⟶ Na + 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: NaOH + Fe(OH)_2 ⟶ Na + 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 | 1 | -1 Fe(OH)_2 | 1 | -1 Na | 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 | 1 | -1 | -(Δ[NaOH])/(Δt) Fe(OH)_2 | 1 | -1 | -(Δ[Fe(OH)2])/(Δt) Na | 1 | 1 | (Δ[Na])/(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 = -(Δ[NaOH])/(Δt) = -(Δ[Fe(OH)2])/(Δt) = (Δ[Na])/(Δt) = (Δ[Fe(OH)3])/(Δt) (assuming constant volume and no accumulation of intermediates or side products)
Chemical names and formulas
| sodium hydroxide | iron(II) hydroxide | sodium | iron(III) hydroxide formula | NaOH | Fe(OH)_2 | Na | Fe(OH)_3 Hill formula | HNaO | FeH_2O_2 | Na | FeH_3O_3 name | sodium hydroxide | iron(II) hydroxide | sodium | iron(III) hydroxide IUPAC name | sodium hydroxide | ferrous dihydroxide | sodium | ferric trihydroxide
Substance properties
| sodium hydroxide | iron(II) hydroxide | sodium | iron(III) hydroxide molar mass | 39.997 g/mol | 89.86 g/mol | 22.98976928 g/mol | 106.87 g/mol phase | solid (at STP) | | solid (at STP) | melting point | 323 °C | | 97.8 °C | boiling point | 1390 °C | | 883 °C | density | 2.13 g/cm^3 | | 0.968 g/cm^3 | solubility in water | soluble | | decomposes | surface tension | 0.07435 N/m | | | dynamic viscosity | 0.004 Pa s (at 350 °C) | | 1.413×10^-5 Pa s (at 527 °C) |
Units