O2 + SeCl6 = Cl2 + SeO2

O_2 oxygen + SeCl6 ⟶ Cl_2 chlorine + SeO_2 selenium dioxide

Balance the chemical equation algebraically: O_2 + SeCl6 ⟶ Cl_2 + SeO_2 Add stoichiometric coefficients, c_i, to the reactants and products: c_1 O_2 + c_2 SeCl6 ⟶ c_3 Cl_2 + c_4 SeO_2 Set the number of atoms in the reactants equal to the number of atoms in the products for O, Se and Cl: O: | 2 c_1 = 2 c_4 Se: | c_2 = c_4 Cl: | 6 c_2 = 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 = 3 c_4 = 1 Substitute the coefficients into the chemical reaction to obtain the balanced equation: Answer: | | O_2 + SeCl6 ⟶ 3 Cl_2 + SeO_2

+ SeCl6 ⟶ +

oxygen + SeCl6 ⟶ chlorine + selenium dioxide

Construct the equilibrium constant, K, expression for: O_2 + SeCl6 ⟶ Cl_2 + SeO_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: O_2 + SeCl6 ⟶ 3 Cl_2 + SeO_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 O_2 | 1 | -1 SeCl6 | 1 | -1 Cl_2 | 3 | 3 SeO_2 | 1 | 1 Assemble the activity expressions accounting for the state of matter and ν_i: chemical species | c_i | ν_i | activity expression O_2 | 1 | -1 | ([O2])^(-1) SeCl6 | 1 | -1 | ([SeCl6])^(-1) Cl_2 | 3 | 3 | ([Cl2])^3 SeO_2 | 1 | 1 | [SeO2] 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 = ([O2])^(-1) ([SeCl6])^(-1) ([Cl2])^3 [SeO2] = (([Cl2])^3 [SeO2])/([O2] [SeCl6])

Construct the rate of reaction expression for: O_2 + SeCl6 ⟶ Cl_2 + SeO_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: O_2 + SeCl6 ⟶ 3 Cl_2 + SeO_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 O_2 | 1 | -1 SeCl6 | 1 | -1 Cl_2 | 3 | 3 SeO_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 O_2 | 1 | -1 | -(Δ[O2])/(Δt) SeCl6 | 1 | -1 | -(Δ[SeCl6])/(Δt) Cl_2 | 3 | 3 | 1/3 (Δ[Cl2])/(Δt) SeO_2 | 1 | 1 | (Δ[SeO2])/(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[O2])/(Δt) = -(Δ[SeCl6])/(Δt) = 1/3 (Δ[Cl2])/(Δt) = (Δ[SeO2])/(Δt) (assuming constant volume and no accumulation of intermediates or side products)

| oxygen | SeCl6 | chlorine | selenium dioxide formula | O_2 | SeCl6 | Cl_2 | SeO_2 Hill formula | O_2 | Cl6Se | Cl_2 | O_2Se name | oxygen | | chlorine | selenium dioxide IUPAC name | molecular oxygen | | molecular chlorine | selenium dioxide

| oxygen | SeCl6 | chlorine | selenium dioxide molar mass | 31.998 g/mol | 291.7 g/mol | 70.9 g/mol | 110.97 g/mol phase | gas (at STP) | | gas (at STP) | solid (at STP) melting point | -218 °C | | -101 °C | 315 °C boiling point | -183 °C | | -34 °C | density | 0.001429 g/cm^3 (at 0 °C) | | 0.003214 g/cm^3 (at 0 °C) | 3.95 g/cm^3 surface tension | 0.01347 N/m | | | dynamic viscosity | 2.055×10^-5 Pa s (at 25 °C) | | | odor | odorless | | |