Input interpretation
HCl hydrogen chloride + Sr(OH)_2 strontium hydroxide ⟶ H_2O water + SrCl_2 strontium chloride
Balanced equation
Balance the chemical equation algebraically: HCl + Sr(OH)_2 ⟶ H_2O + SrCl_2 Add stoichiometric coefficients, c_i, to the reactants and products: c_1 HCl + c_2 Sr(OH)_2 ⟶ c_3 H_2O + c_4 SrCl_2 Set the number of atoms in the reactants equal to the number of atoms in the products for Cl, H, O and Sr: Cl: | c_1 = 2 c_4 H: | c_1 + 2 c_2 = 2 c_3 O: | 2 c_2 = c_3 Sr: | 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 = 2 c_4 = 1 Substitute the coefficients into the chemical reaction to obtain the balanced equation: Answer: | | 2 HCl + Sr(OH)_2 ⟶ 2 H_2O + SrCl_2
Structures
+ ⟶ +
Names
hydrogen chloride + strontium hydroxide ⟶ water + strontium chloride
Equilibrium constant
Construct the equilibrium constant, K, expression for: HCl + Sr(OH)_2 ⟶ H_2O + SrCl_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 HCl + Sr(OH)_2 ⟶ 2 H_2O + SrCl_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 HCl | 2 | -2 Sr(OH)_2 | 1 | -1 H_2O | 2 | 2 SrCl_2 | 1 | 1 Assemble the activity expressions accounting for the state of matter and ν_i: chemical species | c_i | ν_i | activity expression HCl | 2 | -2 | ([HCl])^(-2) Sr(OH)_2 | 1 | -1 | ([Sr(OH)2])^(-1) H_2O | 2 | 2 | ([H2O])^2 SrCl_2 | 1 | 1 | [SrCl2] 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 = ([HCl])^(-2) ([Sr(OH)2])^(-1) ([H2O])^2 [SrCl2] = (([H2O])^2 [SrCl2])/(([HCl])^2 [Sr(OH)2])
Rate of reaction
Construct the rate of reaction expression for: HCl + Sr(OH)_2 ⟶ H_2O + SrCl_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 HCl + Sr(OH)_2 ⟶ 2 H_2O + SrCl_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 HCl | 2 | -2 Sr(OH)_2 | 1 | -1 H_2O | 2 | 2 SrCl_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 HCl | 2 | -2 | -1/2 (Δ[HCl])/(Δt) Sr(OH)_2 | 1 | -1 | -(Δ[Sr(OH)2])/(Δt) H_2O | 2 | 2 | 1/2 (Δ[H2O])/(Δt) SrCl_2 | 1 | 1 | (Δ[SrCl2])/(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[HCl])/(Δt) = -(Δ[Sr(OH)2])/(Δt) = 1/2 (Δ[H2O])/(Δt) = (Δ[SrCl2])/(Δt) (assuming constant volume and no accumulation of intermediates or side products)
Chemical names and formulas
| hydrogen chloride | strontium hydroxide | water | strontium chloride formula | HCl | Sr(OH)_2 | H_2O | SrCl_2 Hill formula | ClH | H_2O_2Sr | H_2O | Cl_2Sr name | hydrogen chloride | strontium hydroxide | water | strontium chloride IUPAC name | hydrogen chloride | strontium dihydroxide | water | strontium dichloride
Substance properties
| hydrogen chloride | strontium hydroxide | water | strontium chloride molar mass | 36.46 g/mol | 121.6 g/mol | 18.015 g/mol | 158.5 g/mol phase | gas (at STP) | | liquid (at STP) | solid (at STP) melting point | -114.17 °C | | 0 °C | 874 °C boiling point | -85 °C | | 99.9839 °C | density | 0.00149 g/cm^3 (at 25 °C) | | 1 g/cm^3 | 3 g/cm^3 solubility in water | miscible | | | surface tension | | | 0.0728 N/m | dynamic viscosity | | | 8.9×10^-4 Pa s (at 25 °C) | odor | | | odorless |
Units