H2O + Cl2 + Na2S2O3 = H2SO4 + HCl + Na2SO4

H_2O (water) + Cl_2 (chlorine) + Na_2S_2O_3 (sodium hyposulfite) ⟶ H_2SO_4 (sulfuric acid) + HCl (hydrogen chloride) + Na_2SO_4 (sodium sulfate)

Balance the chemical equation algebraically: H_2O + Cl_2 + Na_2S_2O_3 ⟶ H_2SO_4 + HCl + Na_2SO_4 Add stoichiometric coefficients, c_i, to the reactants and products: c_1 H_2O + c_2 Cl_2 + c_3 Na_2S_2O_3 ⟶ c_4 H_2SO_4 + c_5 HCl + c_6 Na_2SO_4 Set the number of atoms in the reactants equal to the number of atoms in the products for H, O, Cl, Na and S: H: | 2 c_1 = 2 c_4 + c_5 O: | c_1 + 3 c_3 = 4 c_4 + 4 c_6 Cl: | 2 c_2 = c_5 Na: | 2 c_3 = 2 c_6 S: | 2 c_3 = c_4 + c_6 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 = 5 c_2 = 4 c_3 = 1 c_4 = 1 c_5 = 8 c_6 = 1 Substitute the coefficients into the chemical reaction to obtain the balanced equation: Answer: | | 5 H_2O + 4 Cl_2 + Na_2S_2O_3 ⟶ H_2SO_4 + 8 HCl + Na_2SO_4

+ + ⟶ + +

water + chlorine + sodium hyposulfite ⟶ sulfuric acid + hydrogen chloride + sodium sulfate

K_c = ([H2SO4] [HCl]^8 [Na2SO4])/([H2O]^5 [Cl2]^4 [Na2S2O3])

rate = -1/5 (Δ[H2O])/(Δt) = -1/4 (Δ[Cl2])/(Δt) = -(Δ[Na2S2O3])/(Δt) = (Δ[H2SO4])/(Δt) = 1/8 (Δ[HCl])/(Δt) = (Δ[Na2SO4])/(Δt) (assuming constant volume and no accumulation of intermediates or side products)

| water | chlorine | sodium hyposulfite | sulfuric acid | hydrogen chloride | sodium sulfate formula | H_2O | Cl_2 | Na_2S_2O_3 | H_2SO_4 | HCl | Na_2SO_4 Hill formula | H_2O | Cl_2 | Na_2O_3S_2 | H_2O_4S | ClH | Na_2O_4S name | water | chlorine | sodium hyposulfite | sulfuric acid | hydrogen chloride | sodium sulfate IUPAC name | water | molecular chlorine | | sulfuric acid | hydrogen chloride | disodium sulfate

| water | chlorine | sodium hyposulfite | sulfuric acid | hydrogen chloride | sodium sulfate molar mass | 18.015 g/mol | 70.9 g/mol | 158.1 g/mol | 98.07 g/mol | 36.46 g/mol | 142.04 g/mol phase | liquid (at STP) | gas (at STP) | solid (at STP) | liquid (at STP) | gas (at STP) | solid (at STP) melting point | 0 °C | -101 °C | 48 °C | 10.371 °C | -114.17 °C | 884 °C boiling point | 99.9839 °C | -34 °C | 100 °C | 279.6 °C | -85 °C | 1429 °C density | 1 g/cm^3 | 0.003214 g/cm^3 (at 0 °C) | 1.67 g/cm^3 | 1.8305 g/cm^3 | 0.00149 g/cm^3 (at 25 °C) | 2.68 g/cm^3 solubility in water | | | | very soluble | miscible | 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 | |