Input interpretation
NaOH sodium hydroxide + Zn zinc + NaNO_2 sodium nitrite ⟶ H_2O water + NH_3 ammonia + Na2ZnO2
Balanced equation
Balance the chemical equation algebraically: NaOH + Zn + NaNO_2 ⟶ H_2O + NH_3 + Na2ZnO2 Add stoichiometric coefficients, c_i, to the reactants and products: c_1 NaOH + c_2 Zn + c_3 NaNO_2 ⟶ c_4 H_2O + c_5 NH_3 + c_6 Na2ZnO2 Set the number of atoms in the reactants equal to the number of atoms in the products for H, Na, O, Zn and N: H: | c_1 = 2 c_4 + 3 c_5 Na: | c_1 + c_3 = 2 c_6 O: | c_1 + 2 c_3 = c_4 + 2 c_6 Zn: | c_2 = c_6 N: | c_3 = c_5 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_3 = 1 and solve the system of equations for the remaining coefficients: c_1 = 5 c_2 = 3 c_3 = 1 c_4 = 1 c_5 = 1 c_6 = 3 Substitute the coefficients into the chemical reaction to obtain the balanced equation: Answer: | | 5 NaOH + 3 Zn + NaNO_2 ⟶ H_2O + NH_3 + 3 Na2ZnO2
Structures
+ + ⟶ + + Na2ZnO2
Names
sodium hydroxide + zinc + sodium nitrite ⟶ water + ammonia + Na2ZnO2
Equilibrium constant
Construct the equilibrium constant, K, expression for: NaOH + Zn + NaNO_2 ⟶ H_2O + NH_3 + Na2ZnO2 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: 5 NaOH + 3 Zn + NaNO_2 ⟶ H_2O + NH_3 + 3 Na2ZnO2 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 | 5 | -5 Zn | 3 | -3 NaNO_2 | 1 | -1 H_2O | 1 | 1 NH_3 | 1 | 1 Na2ZnO2 | 3 | 3 Assemble the activity expressions accounting for the state of matter and ν_i: chemical species | c_i | ν_i | activity expression NaOH | 5 | -5 | ([NaOH])^(-5) Zn | 3 | -3 | ([Zn])^(-3) NaNO_2 | 1 | -1 | ([NaNO2])^(-1) H_2O | 1 | 1 | [H2O] NH_3 | 1 | 1 | [NH3] Na2ZnO2 | 3 | 3 | ([Na2ZnO2])^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])^(-5) ([Zn])^(-3) ([NaNO2])^(-1) [H2O] [NH3] ([Na2ZnO2])^3 = ([H2O] [NH3] ([Na2ZnO2])^3)/(([NaOH])^5 ([Zn])^3 [NaNO2])
Rate of reaction
Construct the rate of reaction expression for: NaOH + Zn + NaNO_2 ⟶ H_2O + NH_3 + Na2ZnO2 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: 5 NaOH + 3 Zn + NaNO_2 ⟶ H_2O + NH_3 + 3 Na2ZnO2 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 | 5 | -5 Zn | 3 | -3 NaNO_2 | 1 | -1 H_2O | 1 | 1 NH_3 | 1 | 1 Na2ZnO2 | 3 | 3 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 | 5 | -5 | -1/5 (Δ[NaOH])/(Δt) Zn | 3 | -3 | -1/3 (Δ[Zn])/(Δt) NaNO_2 | 1 | -1 | -(Δ[NaNO2])/(Δt) H_2O | 1 | 1 | (Δ[H2O])/(Δt) NH_3 | 1 | 1 | (Δ[NH3])/(Δt) Na2ZnO2 | 3 | 3 | 1/3 (Δ[Na2ZnO2])/(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 = -1/5 (Δ[NaOH])/(Δt) = -1/3 (Δ[Zn])/(Δt) = -(Δ[NaNO2])/(Δt) = (Δ[H2O])/(Δt) = (Δ[NH3])/(Δt) = 1/3 (Δ[Na2ZnO2])/(Δt) (assuming constant volume and no accumulation of intermediates or side products)
Chemical names and formulas
| sodium hydroxide | zinc | sodium nitrite | water | ammonia | Na2ZnO2 formula | NaOH | Zn | NaNO_2 | H_2O | NH_3 | Na2ZnO2 Hill formula | HNaO | Zn | NNaO_2 | H_2O | H_3N | Na2O2Zn name | sodium hydroxide | zinc | sodium nitrite | water | ammonia |
Substance properties
| sodium hydroxide | zinc | sodium nitrite | water | ammonia | Na2ZnO2 molar mass | 39.997 g/mol | 65.38 g/mol | 68.995 g/mol | 18.015 g/mol | 17.031 g/mol | 143.4 g/mol phase | solid (at STP) | solid (at STP) | solid (at STP) | liquid (at STP) | gas (at STP) | melting point | 323 °C | 420 °C | 271 °C | 0 °C | -77.73 °C | boiling point | 1390 °C | 907 °C | | 99.9839 °C | -33.33 °C | density | 2.13 g/cm^3 | 7.14 g/cm^3 | 2.168 g/cm^3 | 1 g/cm^3 | 6.96×10^-4 g/cm^3 (at 25 °C) | solubility in water | soluble | insoluble | | | | 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 | | odorless | |
Units