Input interpretation
H_2O water + ZnSO_4 zinc sulfate ⟶ H_2SO_4 sulfuric acid + Zn(OH)_2 zinc hydroxide
Balanced equation
Balance the chemical equation algebraically: H_2O + ZnSO_4 ⟶ H_2SO_4 + Zn(OH)_2 Add stoichiometric coefficients, c_i, to the reactants and products: c_1 H_2O + c_2 ZnSO_4 ⟶ c_3 H_2SO_4 + c_4 Zn(OH)_2 Set the number of atoms in the reactants equal to the number of atoms in the products for H, O, S and Zn: H: | 2 c_1 = 2 c_3 + 2 c_4 O: | c_1 + 4 c_2 = 4 c_3 + 2 c_4 S: | c_2 = c_3 Zn: | 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 = 2 c_2 = 1 c_3 = 1 c_4 = 1 Substitute the coefficients into the chemical reaction to obtain the balanced equation: Answer: | | 2 H_2O + ZnSO_4 ⟶ H_2SO_4 + Zn(OH)_2
Structures
+ ⟶ +
Names
water + zinc sulfate ⟶ sulfuric acid + zinc hydroxide
Equilibrium constant
Construct the equilibrium constant, K, expression for: H_2O + ZnSO_4 ⟶ H_2SO_4 + Zn(OH)_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: 2 H_2O + ZnSO_4 ⟶ H_2SO_4 + Zn(OH)_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 H_2O | 2 | -2 ZnSO_4 | 1 | -1 H_2SO_4 | 1 | 1 Zn(OH)_2 | 1 | 1 Assemble the activity expressions accounting for the state of matter and ν_i: chemical species | c_i | ν_i | activity expression H_2O | 2 | -2 | ([H2O])^(-2) ZnSO_4 | 1 | -1 | ([ZnSO4])^(-1) H_2SO_4 | 1 | 1 | [H2SO4] Zn(OH)_2 | 1 | 1 | [Zn(OH)2] 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 = ([H2O])^(-2) ([ZnSO4])^(-1) [H2SO4] [Zn(OH)2] = ([H2SO4] [Zn(OH)2])/(([H2O])^2 [ZnSO4])
Rate of reaction
Construct the rate of reaction expression for: H_2O + ZnSO_4 ⟶ H_2SO_4 + Zn(OH)_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: 2 H_2O + ZnSO_4 ⟶ H_2SO_4 + Zn(OH)_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 H_2O | 2 | -2 ZnSO_4 | 1 | -1 H_2SO_4 | 1 | 1 Zn(OH)_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 H_2O | 2 | -2 | -1/2 (Δ[H2O])/(Δt) ZnSO_4 | 1 | -1 | -(Δ[ZnSO4])/(Δt) H_2SO_4 | 1 | 1 | (Δ[H2SO4])/(Δt) Zn(OH)_2 | 1 | 1 | (Δ[Zn(OH)2])/(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[H2O])/(Δt) = -(Δ[ZnSO4])/(Δt) = (Δ[H2SO4])/(Δt) = (Δ[Zn(OH)2])/(Δt) (assuming constant volume and no accumulation of intermediates or side products)
Chemical names and formulas
| water | zinc sulfate | sulfuric acid | zinc hydroxide formula | H_2O | ZnSO_4 | H_2SO_4 | Zn(OH)_2 Hill formula | H_2O | O_4SZn | H_2O_4S | H_2O_2Zn name | water | zinc sulfate | sulfuric acid | zinc hydroxide IUPAC name | water | zinc sulfate | sulfuric acid | zinc dihydroxide
Substance properties
| water | zinc sulfate | sulfuric acid | zinc hydroxide molar mass | 18.015 g/mol | 161.4 g/mol | 98.07 g/mol | 99.39 g/mol phase | liquid (at STP) | | liquid (at STP) | melting point | 0 °C | | 10.371 °C | boiling point | 99.9839 °C | | 279.6 °C | density | 1 g/cm^3 | 1.005 g/cm^3 | 1.8305 g/cm^3 | solubility in water | | soluble | very soluble | surface tension | 0.0728 N/m | | 0.0735 N/m | dynamic viscosity | 8.9×10^-4 Pa s (at 25 °C) | | 0.021 Pa s (at 25 °C) | odor | odorless | odorless | odorless |
Units