H2O + Cl2 + S = H2SO4 + HCl

H_2O (water) + Cl_2 (chlorine) + S (mixed sulfur) ⟶ H_2SO_4 (sulfuric acid) + HCl (hydrogen chloride)

Balance the chemical equation algebraically: H_2O + Cl_2 + S ⟶ H_2SO_4 + HCl Add stoichiometric coefficients, c_i, to the reactants and products: c_1 H_2O + c_2 Cl_2 + c_3 S ⟶ c_4 H_2SO_4 + c_5 HCl Set the number of atoms in the reactants equal to the number of atoms in the products for H, O, Cl and S: H: | 2 c_1 = 2 c_4 + c_5 O: | c_1 = 4 c_4 Cl: | 2 c_2 = c_5 S: | c_3 = 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_3 = 1 and solve the system of equations for the remaining coefficients: c_1 = 4 c_2 = 3 c_3 = 1 c_4 = 1 c_5 = 6 Substitute the coefficients into the chemical reaction to obtain the balanced equation: Answer: | | 4 H_2O + 3 Cl_2 + S ⟶ H_2SO_4 + 6 HCl

+ + ⟶ +

water + chlorine + mixed sulfur ⟶ sulfuric acid + hydrogen chloride

K_c = ([H2SO4] [HCl]^6)/([H2O]^4 [Cl2]^3 [S])

rate = -1/4 (Δ[H2O])/(Δt) = -1/3 (Δ[Cl2])/(Δt) = -(Δ[S])/(Δt) = (Δ[H2SO4])/(Δt) = 1/6 (Δ[HCl])/(Δt) (assuming constant volume and no accumulation of intermediates or side products)

| water | chlorine | mixed sulfur | sulfuric acid | hydrogen chloride formula | H_2O | Cl_2 | S | H_2SO_4 | HCl Hill formula | H_2O | Cl_2 | S | H_2O_4S | ClH name | water | chlorine | mixed sulfur | sulfuric acid | hydrogen chloride IUPAC name | water | molecular chlorine | sulfur | sulfuric acid | hydrogen chloride

| water | chlorine | mixed sulfur | sulfuric acid | hydrogen chloride molar mass | 18.015 g/mol | 70.9 g/mol | 32.06 g/mol | 98.07 g/mol | 36.46 g/mol phase | liquid (at STP) | gas (at STP) | solid (at STP) | liquid (at STP) | gas (at STP) melting point | 0 °C | -101 °C | 112.8 °C | 10.371 °C | -114.17 °C boiling point | 99.9839 °C | -34 °C | 444.7 °C | 279.6 °C | -85 °C density | 1 g/cm^3 | 0.003214 g/cm^3 (at 0 °C) | 2.07 g/cm^3 | 1.8305 g/cm^3 | 0.00149 g/cm^3 (at 25 °C) solubility in water | | | | very soluble | miscible 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 |