Input interpretation
hydrogen chloride + potassium permanganate + hydrogen sulfide ⟶ water + mixed sulfur + potassium chloride + manganese(II) chloride
Balanced equation
Balance the chemical equation algebraically: + + ⟶ + + + Add stoichiometric coefficients, c_i, to the reactants and products: c_1 + c_2 + c_3 ⟶ c_4 + c_5 + c_6 + c_7 Set the number of atoms in the reactants equal to the number of atoms in the products for Cl, H, K, Mn, O and S: Cl: | c_1 = c_6 + 2 c_7 H: | c_1 + 2 c_3 = 2 c_4 K: | c_2 = c_6 Mn: | c_2 = c_7 O: | 4 c_2 = c_4 S: | c_3 = 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 c_2 = 1 c_3 = 5/2 c_4 = 4 c_5 = 5/2 c_6 = 1 c_7 = 1 Multiply by the least common denominator, 2, to eliminate fractional coefficients: c_1 = 6 c_2 = 2 c_3 = 5 c_4 = 8 c_5 = 5 c_6 = 2 c_7 = 2 Substitute the coefficients into the chemical reaction to obtain the balanced equation: Answer: | | 6 + 2 + 5 ⟶ 8 + 5 + 2 + 2
Structures
+ + ⟶ + + +
Names
hydrogen chloride + potassium permanganate + hydrogen sulfide ⟶ water + mixed sulfur + potassium chloride + manganese(II) chloride
Equilibrium constant
![K_c = ([H2O]^8 [S]^5 [KCl]^2 [MnCl2]^2)/([HCl]^6 [KMnO4]^2 [H2S]^5)](../image_source/33247d8a850d7cd09972e71d109626a3.png)
K_c = ([H2O]^8 [S]^5 [KCl]^2 [MnCl2]^2)/([HCl]^6 [KMnO4]^2 [H2S]^5)
Rate of reaction
![rate = -1/6 (Δ[HCl])/(Δt) = -1/2 (Δ[KMnO4])/(Δt) = -1/5 (Δ[H2S])/(Δt) = 1/8 (Δ[H2O])/(Δt) = 1/5 (Δ[S])/(Δt) = 1/2 (Δ[KCl])/(Δt) = 1/2 (Δ[MnCl2])/(Δt) (assuming constant volume and no accumulation of intermediates or side products)](../image_source/af2b8416bf2cfc6bd6b2054241ce640e.png)
rate = -1/6 (Δ[HCl])/(Δt) = -1/2 (Δ[KMnO4])/(Δt) = -1/5 (Δ[H2S])/(Δt) = 1/8 (Δ[H2O])/(Δt) = 1/5 (Δ[S])/(Δt) = 1/2 (Δ[KCl])/(Δt) = 1/2 (Δ[MnCl2])/(Δt) (assuming constant volume and no accumulation of intermediates or side products)
Chemical names and formulas
| hydrogen chloride | potassium permanganate | hydrogen sulfide | water | mixed sulfur | potassium chloride | manganese(II) chloride Hill formula | ClH | KMnO_4 | H_2S | H_2O | S | ClK | Cl_2Mn name | hydrogen chloride | potassium permanganate | hydrogen sulfide | water | mixed sulfur | potassium chloride | manganese(II) chloride IUPAC name | hydrogen chloride | potassium permanganate | hydrogen sulfide | water | sulfur | potassium chloride | dichloromanganese