Input interpretation
CuCl cuprous chloride + AsF_5 arsenic pentafluoride ⟶ AsCl5 + FCu copper(I) fluoride
Balanced equation
Balance the chemical equation algebraically: CuCl + AsF_5 ⟶ AsCl5 + FCu Add stoichiometric coefficients, c_i, to the reactants and products: c_1 CuCl + c_2 AsF_5 ⟶ c_3 AsCl5 + c_4 FCu Set the number of atoms in the reactants equal to the number of atoms in the products for Cl, Cu, As and F: Cl: | c_1 = 5 c_3 Cu: | c_1 = c_4 As: | c_2 = c_3 F: | 5 c_2 = 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 = 5 c_2 = 1 c_3 = 1 c_4 = 5 Substitute the coefficients into the chemical reaction to obtain the balanced equation: Answer: | | 5 CuCl + AsF_5 ⟶ AsCl5 + 5 FCu
Structures
+ ⟶ AsCl5 +
Names
cuprous chloride + arsenic pentafluoride ⟶ AsCl5 + copper(I) fluoride
Equilibrium constant
![Construct the equilibrium constant, K, expression for: CuCl + AsF_5 ⟶ AsCl5 + FCu 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 CuCl + AsF_5 ⟶ AsCl5 + 5 FCu 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 CuCl | 5 | -5 AsF_5 | 1 | -1 AsCl5 | 1 | 1 FCu | 5 | 5 Assemble the activity expressions accounting for the state of matter and ν_i: chemical species | c_i | ν_i | activity expression CuCl | 5 | -5 | ([CuCl])^(-5) AsF_5 | 1 | -1 | ([AsF5])^(-1) AsCl5 | 1 | 1 | [AsCl5] FCu | 5 | 5 | ([F1Cu1])^5 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 = ([CuCl])^(-5) ([AsF5])^(-1) [AsCl5] ([F1Cu1])^5 = ([AsCl5] ([F1Cu1])^5)/(([CuCl])^5 [AsF5])](../image_source/d842c0e5f54dd6799ab006ae144b9e91.png)
Construct the equilibrium constant, K, expression for: CuCl + AsF_5 ⟶ AsCl5 + FCu 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 CuCl + AsF_5 ⟶ AsCl5 + 5 FCu 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 CuCl | 5 | -5 AsF_5 | 1 | -1 AsCl5 | 1 | 1 FCu | 5 | 5 Assemble the activity expressions accounting for the state of matter and ν_i: chemical species | c_i | ν_i | activity expression CuCl | 5 | -5 | ([CuCl])^(-5) AsF_5 | 1 | -1 | ([AsF5])^(-1) AsCl5 | 1 | 1 | [AsCl5] FCu | 5 | 5 | ([F1Cu1])^5 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 = ([CuCl])^(-5) ([AsF5])^(-1) [AsCl5] ([F1Cu1])^5 = ([AsCl5] ([F1Cu1])^5)/(([CuCl])^5 [AsF5])
Rate of reaction
![Construct the rate of reaction expression for: CuCl + AsF_5 ⟶ AsCl5 + FCu 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 CuCl + AsF_5 ⟶ AsCl5 + 5 FCu 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 CuCl | 5 | -5 AsF_5 | 1 | -1 AsCl5 | 1 | 1 FCu | 5 | 5 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 CuCl | 5 | -5 | -1/5 (Δ[CuCl])/(Δt) AsF_5 | 1 | -1 | -(Δ[AsF5])/(Δt) AsCl5 | 1 | 1 | (Δ[AsCl5])/(Δt) FCu | 5 | 5 | 1/5 (Δ[F1Cu1])/(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[CuCl])/(Δt) = -(Δ[AsF5])/(Δt) = (Δ[AsCl5])/(Δt) = 1/5 (Δ[F1Cu1])/(Δt) (assuming constant volume and no accumulation of intermediates or side products)](../image_source/d73fffa8db64f14d69fe538ce6b8c9c9.png)
Construct the rate of reaction expression for: CuCl + AsF_5 ⟶ AsCl5 + FCu 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 CuCl + AsF_5 ⟶ AsCl5 + 5 FCu 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 CuCl | 5 | -5 AsF_5 | 1 | -1 AsCl5 | 1 | 1 FCu | 5 | 5 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 CuCl | 5 | -5 | -1/5 (Δ[CuCl])/(Δt) AsF_5 | 1 | -1 | -(Δ[AsF5])/(Δt) AsCl5 | 1 | 1 | (Δ[AsCl5])/(Δt) FCu | 5 | 5 | 1/5 (Δ[F1Cu1])/(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[CuCl])/(Δt) = -(Δ[AsF5])/(Δt) = (Δ[AsCl5])/(Δt) = 1/5 (Δ[F1Cu1])/(Δt) (assuming constant volume and no accumulation of intermediates or side products)
Chemical names and formulas
| cuprous chloride | arsenic pentafluoride | AsCl5 | copper(I) fluoride formula | CuCl | AsF_5 | AsCl5 | FCu Hill formula | ClCu | AsF_5 | AsCl5 | CuF name | cuprous chloride | arsenic pentafluoride | | copper(I) fluoride IUPAC name | | pentafluoroarsorane | | fluorocopper