Input interpretation
H_2SO_4 (sulfuric acid) + KMnO_4 (potassium permanganate) + H_2S (hydrogen sulfide) ⟶ H_2O (water) + K_2SO_4 (potassium sulfate) + MnSO_4 (manganese(II) sulfate)
Balanced equation
Balance the chemical equation algebraically: H_2SO_4 + KMnO_4 + H_2S ⟶ H_2O + K_2SO_4 + MnSO_4 Add stoichiometric coefficients, c_i, to the reactants and products: c_1 H_2SO_4 + c_2 KMnO_4 + c_3 H_2S ⟶ c_4 H_2O + c_5 K_2SO_4 + c_6 MnSO_4 Set the number of atoms in the reactants equal to the number of atoms in the products for H, O, S, K and Mn: H: | 2 c_1 + 2 c_3 = 2 c_4 O: | 4 c_1 + 4 c_2 = c_4 + 4 c_5 + 4 c_6 S: | c_1 + c_3 = c_5 + c_6 K: | c_2 = 2 c_5 Mn: | c_2 = 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_5 = 1 and solve the system of equations for the remaining coefficients: c_1 = 7/4 c_2 = 2 c_3 = 5/4 c_4 = 3 c_5 = 1 c_6 = 2 Multiply by the least common denominator, 4, to eliminate fractional coefficients: c_1 = 7 c_2 = 8 c_3 = 5 c_4 = 12 c_5 = 4 c_6 = 8 Substitute the coefficients into the chemical reaction to obtain the balanced equation: Answer: | | 7 H_2SO_4 + 8 KMnO_4 + 5 H_2S ⟶ 12 H_2O + 4 K_2SO_4 + 8 MnSO_4
Structures
+ + ⟶ + +
Names
sulfuric acid + potassium permanganate + hydrogen sulfide ⟶ water + potassium sulfate + manganese(II) sulfate
Equilibrium constant
![K_c = ([H2O]^12 [K2SO4]^4 [MnSO4]^8)/([H2SO4]^7 [KMnO4]^8 [H2S]^5)](../image_source/5bdbf7b5fdda1d7228a988c08dda6d70.png)
K_c = ([H2O]^12 [K2SO4]^4 [MnSO4]^8)/([H2SO4]^7 [KMnO4]^8 [H2S]^5)
Rate of reaction
![rate = -1/7 (Δ[H2SO4])/(Δt) = -1/8 (Δ[KMnO4])/(Δt) = -1/5 (Δ[H2S])/(Δt) = 1/12 (Δ[H2O])/(Δt) = 1/4 (Δ[K2SO4])/(Δt) = 1/8 (Δ[MnSO4])/(Δt) (assuming constant volume and no accumulation of intermediates or side products)](../image_source/fe75493e5536fa46afd1dd012a4e1aab.png)
rate = -1/7 (Δ[H2SO4])/(Δt) = -1/8 (Δ[KMnO4])/(Δt) = -1/5 (Δ[H2S])/(Δt) = 1/12 (Δ[H2O])/(Δt) = 1/4 (Δ[K2SO4])/(Δt) = 1/8 (Δ[MnSO4])/(Δt) (assuming constant volume and no accumulation of intermediates or side products)
Chemical names and formulas
| sulfuric acid | potassium permanganate | hydrogen sulfide | water | potassium sulfate | manganese(II) sulfate formula | H_2SO_4 | KMnO_4 | H_2S | H_2O | K_2SO_4 | MnSO_4 Hill formula | H_2O_4S | KMnO_4 | H_2S | H_2O | K_2O_4S | MnSO_4 name | sulfuric acid | potassium permanganate | hydrogen sulfide | water | potassium sulfate | manganese(II) sulfate IUPAC name | sulfuric acid | potassium permanganate | hydrogen sulfide | water | dipotassium sulfate | manganese(+2) cation sulfate
Substance properties
| sulfuric acid | potassium permanganate | hydrogen sulfide | water | potassium sulfate | manganese(II) sulfate molar mass | 98.07 g/mol | 158.03 g/mol | 34.08 g/mol | 18.015 g/mol | 174.25 g/mol | 150.99 g/mol phase | liquid (at STP) | solid (at STP) | gas (at STP) | liquid (at STP) | | solid (at STP) melting point | 10.371 °C | 240 °C | -85 °C | 0 °C | | 710 °C boiling point | 279.6 °C | | -60 °C | 99.9839 °C | | density | 1.8305 g/cm^3 | 1 g/cm^3 | 0.001393 g/cm^3 (at 25 °C) | 1 g/cm^3 | | 3.25 g/cm^3 solubility in water | very soluble | | | | soluble | soluble surface tension | 0.0735 N/m | | | 0.0728 N/m | | dynamic viscosity | 0.021 Pa s (at 25 °C) | | 1.239×10^-5 Pa s (at 25 °C) | 8.9×10^-4 Pa s (at 25 °C) | | odor | odorless | odorless | | odorless | |
Units
