H2SO4Cu = CuOSO2H2O

H2SO4Cu ⟶ CuOSO2H2O

Balance the chemical equation algebraically: H2SO4Cu ⟶ CuOSO2H2O Add stoichiometric coefficients, c_i, to the reactants and products: c_1 H2SO4Cu ⟶ c_2 CuOSO2H2O Set the number of atoms in the reactants equal to the number of atoms in the products for H, S, O and Cu: H: | 2 c_1 = 2 c_2 S: | c_1 = c_2 O: | 4 c_1 = 4 c_2 Cu: | c_1 = c_2 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 Substitute the coefficients into the chemical reaction to obtain the balanced equation: Answer: | | H2SO4Cu ⟶ CuOSO2H2O

H2SO4Cu ⟶ CuOSO2H2O

H2SO4Cu ⟶ CuOSO2H2O

Construct the equilibrium constant, K, expression for: H2SO4Cu ⟶ CuOSO2H2O 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: H2SO4Cu ⟶ CuOSO2H2O 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 H2SO4Cu | 1 | -1 CuOSO2H2O | 1 | 1 Assemble the activity expressions accounting for the state of matter and ν_i: chemical species | c_i | ν_i | activity expression H2SO4Cu | 1 | -1 | ([H2SO4Cu])^(-1) CuOSO2H2O | 1 | 1 | [CuOSO2H2O] 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 = ([H2SO4Cu])^(-1) [CuOSO2H2O] = ([CuOSO2H2O])/([H2SO4Cu])

Construct the rate of reaction expression for: H2SO4Cu ⟶ CuOSO2H2O 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: H2SO4Cu ⟶ CuOSO2H2O 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 H2SO4Cu | 1 | -1 CuOSO2H2O | 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 H2SO4Cu | 1 | -1 | -(Δ[H2SO4Cu])/(Δt) CuOSO2H2O | 1 | 1 | (Δ[CuOSO2H2O])/(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[H2SO4Cu])/(Δt) = (Δ[CuOSO2H2O])/(Δt) (assuming constant volume and no accumulation of intermediates or side products)

| H2SO4Cu | CuOSO2H2O formula | H2SO4Cu | CuOSO2H2O Hill formula | H2CuO4S | H2CuO4S

| H2SO4Cu | CuOSO2H2O molar mass | 161.62 g/mol | 161.62 g/mol