NaOH + Zn + N2H4 = NH3 + Na2ZnO2

NaOH sodium hydroxide + Zn zinc + NH_2NH_2 diazane ⟶ NH_3 ammonia + Na2ZnO2

Balance the chemical equation algebraically: NaOH + Zn + NH_2NH_2 ⟶ NH_3 + Na2ZnO2 Add stoichiometric coefficients, c_i, to the reactants and products: c_1 NaOH + c_2 Zn + c_3 NH_2NH_2 ⟶ c_4 NH_3 + c_5 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 + 4 c_3 = 3 c_4 Na: | c_1 = 2 c_5 O: | c_1 = 2 c_5 Zn: | c_2 = c_5 N: | 2 c_3 = 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 = 2 c_2 = 1 c_3 = 1 c_4 = 2 c_5 = 1 Substitute the coefficients into the chemical reaction to obtain the balanced equation: Answer: | | 2 NaOH + Zn + NH_2NH_2 ⟶ 2 NH_3 + Na2ZnO2

+ + ⟶ + Na2ZnO2

sodium hydroxide + zinc + diazane ⟶ ammonia + Na2ZnO2

Construct the equilibrium constant, K, expression for: NaOH + Zn + NH_2NH_2 ⟶ 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: 2 NaOH + Zn + NH_2NH_2 ⟶ 2 NH_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 | 2 | -2 Zn | 1 | -1 NH_2NH_2 | 1 | -1 NH_3 | 2 | 2 Na2ZnO2 | 1 | 1 Assemble the activity expressions accounting for the state of matter and ν_i: chemical species | c_i | ν_i | activity expression NaOH | 2 | -2 | ([NaOH])^(-2) Zn | 1 | -1 | ([Zn])^(-1) NH_2NH_2 | 1 | -1 | ([NH2NH2])^(-1) NH_3 | 2 | 2 | ([NH3])^2 Na2ZnO2 | 1 | 1 | [Na2ZnO2] 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])^(-2) ([Zn])^(-1) ([NH2NH2])^(-1) ([NH3])^2 [Na2ZnO2] = (([NH3])^2 [Na2ZnO2])/(([NaOH])^2 [Zn] [NH2NH2])

Construct the rate of reaction expression for: NaOH + Zn + NH_2NH_2 ⟶ 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: 2 NaOH + Zn + NH_2NH_2 ⟶ 2 NH_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 | 2 | -2 Zn | 1 | -1 NH_2NH_2 | 1 | -1 NH_3 | 2 | 2 Na2ZnO2 | 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 | 2 | -2 | -1/2 (Δ[NaOH])/(Δt) Zn | 1 | -1 | -(Δ[Zn])/(Δt) NH_2NH_2 | 1 | -1 | -(Δ[NH2NH2])/(Δt) NH_3 | 2 | 2 | 1/2 (Δ[NH3])/(Δt) Na2ZnO2 | 1 | 1 | (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 = -1/2 (Δ[NaOH])/(Δt) = -(Δ[Zn])/(Δt) = -(Δ[NH2NH2])/(Δt) = 1/2 (Δ[NH3])/(Δt) = (Δ[Na2ZnO2])/(Δt) (assuming constant volume and no accumulation of intermediates or side products)

| sodium hydroxide | zinc | diazane | ammonia | Na2ZnO2 formula | NaOH | Zn | NH_2NH_2 | NH_3 | Na2ZnO2 Hill formula | HNaO | Zn | H_4N_2 | H_3N | Na2O2Zn name | sodium hydroxide | zinc | diazane | ammonia | IUPAC name | sodium hydroxide | zinc | hydrazine | ammonia |

| sodium hydroxide | zinc | diazane | ammonia | Na2ZnO2 molar mass | 39.997 g/mol | 65.38 g/mol | 32.046 g/mol | 17.031 g/mol | 143.4 g/mol phase | solid (at STP) | solid (at STP) | liquid (at STP) | gas (at STP) | melting point | 323 °C | 420 °C | 1 °C | -77.73 °C | boiling point | 1390 °C | 907 °C | 113.5 °C | -33.33 °C | density | 2.13 g/cm^3 | 7.14 g/cm^3 | 1.011 g/cm^3 | 6.96×10^-4 g/cm^3 (at 25 °C) | solubility in water | soluble | insoluble | miscible | | surface tension | 0.07435 N/m | | 0.0667 N/m | 0.0234 N/m | dynamic viscosity | 0.004 Pa s (at 350 °C) | | 8.76×10^-4 Pa s (at 25 °C) | 1.009×10^-5 Pa s (at 25 °C) | odor | | odorless | | |