NaOH + S = H2O + Na2S + Na2S2O3

NaOH sodium hydroxide + S mixed sulfur ⟶ H_2O water + Na_2S sodium sulfide + Na_2S_2O_3 sodium hyposulfite

Balance the chemical equation algebraically: NaOH + S ⟶ H_2O + Na_2S + Na_2S_2O_3 Add stoichiometric coefficients, c_i, to the reactants and products: c_1 NaOH + c_2 S ⟶ c_3 H_2O + c_4 Na_2S + c_5 Na_2S_2O_3 Set the number of atoms in the reactants equal to the number of atoms in the products for H, Na, O and S: H: | c_1 = 2 c_3 Na: | c_1 = 2 c_4 + 2 c_5 O: | c_1 = c_3 + 3 c_5 S: | c_2 = c_4 + 2 c_5 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_5 = 1 and solve the system of equations for the remaining coefficients: c_1 = 6 c_2 = 4 c_3 = 3 c_4 = 2 c_5 = 1 Substitute the coefficients into the chemical reaction to obtain the balanced equation: Answer: | | 6 NaOH + 4 S ⟶ 3 H_2O + 2 Na_2S + Na_2S_2O_3

+ ⟶ + +

sodium hydroxide + mixed sulfur ⟶ water + sodium sulfide + sodium hyposulfite

K_c = ([H2O]^3 [Na2S]^2 [Na2S2O3])/([NaOH]^6 [S]^4)

rate = -1/6 (Δ[NaOH])/(Δt) = -1/4 (Δ[S])/(Δt) = 1/3 (Δ[H2O])/(Δt) = 1/2 (Δ[Na2S])/(Δt) = (Δ[Na2S2O3])/(Δt) (assuming constant volume and no accumulation of intermediates or side products)

| sodium hydroxide | mixed sulfur | water | sodium sulfide | sodium hyposulfite formula | NaOH | S | H_2O | Na_2S | Na_2S_2O_3 Hill formula | HNaO | S | H_2O | Na_2S_1 | Na_2O_3S_2 name | sodium hydroxide | mixed sulfur | water | sodium sulfide | sodium hyposulfite IUPAC name | sodium hydroxide | sulfur | water | |

| sodium hydroxide | mixed sulfur | water | sodium sulfide | sodium hyposulfite molar mass | 39.997 g/mol | 32.06 g/mol | 18.015 g/mol | 78.04 g/mol | 158.1 g/mol phase | solid (at STP) | solid (at STP) | liquid (at STP) | solid (at STP) | solid (at STP) melting point | 323 °C | 112.8 °C | 0 °C | 1172 °C | 48 °C boiling point | 1390 °C | 444.7 °C | 99.9839 °C | | 100 °C density | 2.13 g/cm^3 | 2.07 g/cm^3 | 1 g/cm^3 | 1.856 g/cm^3 | 1.67 g/cm^3 solubility in water | soluble | | | | surface tension | 0.07435 N/m | | 0.0728 N/m | | dynamic viscosity | 0.004 Pa s (at 350 °C) | | 8.9×10^-4 Pa s (at 25 °C) | | odor | | | odorless | | odorless