H2S + HMnO4 = H2O + S + MnO2

H_2S (hydrogen sulfide) + HMnO4 ⟶ H_2O (water) + S (mixed sulfur) + MnO_2 (manganese dioxide)

Balance the chemical equation algebraically: H_2S + HMnO4 ⟶ H_2O + S + MnO_2 Add stoichiometric coefficients, c_i, to the reactants and products: c_1 H_2S + c_2 HMnO4 ⟶ c_3 H_2O + c_4 S + c_5 MnO_2 Set the number of atoms in the reactants equal to the number of atoms in the products for H, S, Mn and O: H: | 2 c_1 + c_2 = 2 c_3 S: | c_1 = c_4 Mn: | c_2 = c_5 O: | 4 c_2 = c_3 + 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_2 = 1 and solve the system of equations for the remaining coefficients: c_1 = 3/2 c_2 = 1 c_3 = 2 c_4 = 3/2 c_5 = 1 Multiply by the least common denominator, 2, to eliminate fractional coefficients: c_1 = 3 c_2 = 2 c_3 = 4 c_4 = 3 c_5 = 2 Substitute the coefficients into the chemical reaction to obtain the balanced equation: Answer: | | 3 H_2S + 2 HMnO4 ⟶ 4 H_2O + 3 S + 2 MnO_2

+ HMnO4 ⟶ + +

hydrogen sulfide + HMnO4 ⟶ water + mixed sulfur + manganese dioxide

K_c = ([H2O]^4 [S]^3 [MnO2]^2)/([H2S]^3 [HMnO4]^2)

rate = -1/3 (Δ[H2S])/(Δt) = -1/2 (Δ[HMnO4])/(Δt) = 1/4 (Δ[H2O])/(Δt) = 1/3 (Δ[S])/(Δt) = 1/2 (Δ[MnO2])/(Δt) (assuming constant volume and no accumulation of intermediates or side products)

| hydrogen sulfide | HMnO4 | water | mixed sulfur | manganese dioxide formula | H_2S | HMnO4 | H_2O | S | MnO_2 name | hydrogen sulfide | | water | mixed sulfur | manganese dioxide IUPAC name | hydrogen sulfide | | water | sulfur | dioxomanganese

| hydrogen sulfide | HMnO4 | water | mixed sulfur | manganese dioxide molar mass | 34.08 g/mol | 119.94 g/mol | 18.015 g/mol | 32.06 g/mol | 86.936 g/mol phase | gas (at STP) | | liquid (at STP) | solid (at STP) | solid (at STP) melting point | -85 °C | | 0 °C | 112.8 °C | 535 °C boiling point | -60 °C | | 99.9839 °C | 444.7 °C | density | 0.001393 g/cm^3 (at 25 °C) | | 1 g/cm^3 | 2.07 g/cm^3 | 5.03 g/cm^3 solubility in water | | | | | insoluble surface tension | | | 0.0728 N/m | | dynamic viscosity | 1.239×10^-5 Pa s (at 25 °C) | | 8.9×10^-4 Pa s (at 25 °C) | | odor | | | odorless | |