Input interpretation
NaOH sodium hydroxide + CoOHNO3 ⟶ NaNO_3 sodium nitrate + Co(OH)_2 cobalt(II) hydroxide
Balanced equation
Balance the chemical equation algebraically: NaOH + CoOHNO3 ⟶ NaNO_3 + Co(OH)_2 Add stoichiometric coefficients, c_i, to the reactants and products: c_1 NaOH + c_2 CoOHNO3 ⟶ c_3 NaNO_3 + c_4 Co(OH)_2 Set the number of atoms in the reactants equal to the number of atoms in the products for H, Na, O, Co and N: H: | c_1 + c_2 = 2 c_4 Na: | c_1 = c_3 O: | c_1 + 4 c_2 = 3 c_3 + 2 c_4 Co: | c_2 = c_4 N: | 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 = 1 c_3 = 1 c_4 = 1 Substitute the coefficients into the chemical reaction to obtain the balanced equation: Answer: | | NaOH + CoOHNO3 ⟶ NaNO_3 + Co(OH)_2
Structures
+ CoOHNO3 ⟶ +
Names
sodium hydroxide + CoOHNO3 ⟶ sodium nitrate + cobalt(II) hydroxide
Equilibrium constant
Construct the equilibrium constant, K, expression for: NaOH + CoOHNO3 ⟶ NaNO_3 + Co(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: NaOH + CoOHNO3 ⟶ NaNO_3 + Co(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 NaOH | 1 | -1 CoOHNO3 | 1 | -1 NaNO_3 | 1 | 1 Co(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 NaOH | 1 | -1 | ([NaOH])^(-1) CoOHNO3 | 1 | -1 | ([CoOHNO3])^(-1) NaNO_3 | 1 | 1 | [NaNO3] Co(OH)_2 | 1 | 1 | [Co(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 = ([NaOH])^(-1) ([CoOHNO3])^(-1) [NaNO3] [Co(OH)2] = ([NaNO3] [Co(OH)2])/([NaOH] [CoOHNO3])
Rate of reaction
Construct the rate of reaction expression for: NaOH + CoOHNO3 ⟶ NaNO_3 + Co(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: NaOH + CoOHNO3 ⟶ NaNO_3 + Co(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 NaOH | 1 | -1 CoOHNO3 | 1 | -1 NaNO_3 | 1 | 1 Co(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 NaOH | 1 | -1 | -(Δ[NaOH])/(Δt) CoOHNO3 | 1 | -1 | -(Δ[CoOHNO3])/(Δt) NaNO_3 | 1 | 1 | (Δ[NaNO3])/(Δt) Co(OH)_2 | 1 | 1 | (Δ[Co(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[NaOH])/(Δt) = -(Δ[CoOHNO3])/(Δt) = (Δ[NaNO3])/(Δt) = (Δ[Co(OH)2])/(Δt) (assuming constant volume and no accumulation of intermediates or side products)
Chemical names and formulas
| sodium hydroxide | CoOHNO3 | sodium nitrate | cobalt(II) hydroxide formula | NaOH | CoOHNO3 | NaNO_3 | Co(OH)_2 Hill formula | HNaO | HCoNO4 | NNaO_3 | CoH_2O_2 name | sodium hydroxide | | sodium nitrate | cobalt(II) hydroxide
Substance properties
| sodium hydroxide | CoOHNO3 | sodium nitrate | cobalt(II) hydroxide molar mass | 39.997 g/mol | 137.94 g/mol | 84.994 g/mol | 92.947 g/mol phase | solid (at STP) | | solid (at STP) | melting point | 323 °C | | 306 °C | boiling point | 1390 °C | | | density | 2.13 g/cm^3 | | 2.26 g/cm^3 | 3.597 g/cm^3 solubility in water | soluble | | soluble | surface tension | 0.07435 N/m | | | dynamic viscosity | 0.004 Pa s (at 350 °C) | | 0.003 Pa s (at 250 °C) |
Units