Input interpretation
Cu(OH)_2 copper hydroxide + CH_3COONa sodium acetate ⟶ NaOH sodium hydroxide + (CH3COO)2Cu
Balanced equation
Balance the chemical equation algebraically: Cu(OH)_2 + CH_3COONa ⟶ NaOH + (CH3COO)2Cu Add stoichiometric coefficients, c_i, to the reactants and products: c_1 Cu(OH)_2 + c_2 CH_3COONa ⟶ c_3 NaOH + c_4 (CH3COO)2Cu Set the number of atoms in the reactants equal to the number of atoms in the products for Cu, H, O, C and Na: Cu: | c_1 = c_4 H: | 2 c_1 + 3 c_2 = c_3 + 6 c_4 O: | 2 c_1 + 2 c_2 = c_3 + 4 c_4 C: | 2 c_2 = 4 c_4 Na: | 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 = 2 c_3 = 2 c_4 = 1 Substitute the coefficients into the chemical reaction to obtain the balanced equation: Answer: | | Cu(OH)_2 + 2 CH_3COONa ⟶ 2 NaOH + (CH3COO)2Cu
Structures
+ ⟶ + (CH3COO)2Cu
Names
copper hydroxide + sodium acetate ⟶ sodium hydroxide + (CH3COO)2Cu
Equilibrium constant
Construct the equilibrium constant, K, expression for: Cu(OH)_2 + CH_3COONa ⟶ NaOH + (CH3COO)2Cu 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: Cu(OH)_2 + 2 CH_3COONa ⟶ 2 NaOH + (CH3COO)2Cu 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 Cu(OH)_2 | 1 | -1 CH_3COONa | 2 | -2 NaOH | 2 | 2 (CH3COO)2Cu | 1 | 1 Assemble the activity expressions accounting for the state of matter and ν_i: chemical species | c_i | ν_i | activity expression Cu(OH)_2 | 1 | -1 | ([Cu(OH)2])^(-1) CH_3COONa | 2 | -2 | ([CH3COONa])^(-2) NaOH | 2 | 2 | ([NaOH])^2 (CH3COO)2Cu | 1 | 1 | [(CH3COO)2Cu] 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 = ([Cu(OH)2])^(-1) ([CH3COONa])^(-2) ([NaOH])^2 [(CH3COO)2Cu] = (([NaOH])^2 [(CH3COO)2Cu])/([Cu(OH)2] ([CH3COONa])^2)
Rate of reaction
Construct the rate of reaction expression for: Cu(OH)_2 + CH_3COONa ⟶ NaOH + (CH3COO)2Cu 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: Cu(OH)_2 + 2 CH_3COONa ⟶ 2 NaOH + (CH3COO)2Cu 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 Cu(OH)_2 | 1 | -1 CH_3COONa | 2 | -2 NaOH | 2 | 2 (CH3COO)2Cu | 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 Cu(OH)_2 | 1 | -1 | -(Δ[Cu(OH)2])/(Δt) CH_3COONa | 2 | -2 | -1/2 (Δ[CH3COONa])/(Δt) NaOH | 2 | 2 | 1/2 (Δ[NaOH])/(Δt) (CH3COO)2Cu | 1 | 1 | (Δ[(CH3COO)2Cu])/(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[Cu(OH)2])/(Δt) = -1/2 (Δ[CH3COONa])/(Δt) = 1/2 (Δ[NaOH])/(Δt) = (Δ[(CH3COO)2Cu])/(Δt) (assuming constant volume and no accumulation of intermediates or side products)
Chemical names and formulas
| copper hydroxide | sodium acetate | sodium hydroxide | (CH3COO)2Cu formula | Cu(OH)_2 | CH_3COONa | NaOH | (CH3COO)2Cu Hill formula | CuH_2O_2 | C_2H_3NaO_2 | HNaO | C4H6CuO4 name | copper hydroxide | sodium acetate | sodium hydroxide | IUPAC name | copper dihydroxide | sodium acetate | sodium hydroxide |
Substance properties
| copper hydroxide | sodium acetate | sodium hydroxide | (CH3COO)2Cu molar mass | 97.56 g/mol | 82.034 g/mol | 39.997 g/mol | 181.63 g/mol phase | | solid (at STP) | solid (at STP) | melting point | | 300 °C | 323 °C | boiling point | | 881.4 °C | 1390 °C | density | | 1.528 g/cm^3 | 2.13 g/cm^3 | solubility in water | | soluble | soluble | surface tension | | | 0.07435 N/m | dynamic viscosity | | | 0.004 Pa s (at 350 °C) | odor | | odorless | |
Units