Input interpretation
H_2SO_4 sulfuric acid + KMnO_4 potassium permanganate + CH_3CHO acetaldehyde ⟶ H_2O water + K_2SO_4 potassium sulfate + MnSO_4 manganese(II) sulfate + CH_3CO_2H acetic acid
Balanced equation
Balance the chemical equation algebraically: H_2SO_4 + KMnO_4 + CH_3CHO ⟶ H_2O + K_2SO_4 + MnSO_4 + CH_3CO_2H Add stoichiometric coefficients, c_i, to the reactants and products: c_1 H_2SO_4 + c_2 KMnO_4 + c_3 CH_3CHO ⟶ c_4 H_2O + c_5 K_2SO_4 + c_6 MnSO_4 + c_7 CH_3CO_2H Set the number of atoms in the reactants equal to the number of atoms in the products for H, O, S, K, Mn and C: H: | 2 c_1 + 4 c_3 = 2 c_4 + 4 c_7 O: | 4 c_1 + 4 c_2 + c_3 = c_4 + 4 c_5 + 4 c_6 + 2 c_7 S: | c_1 = c_5 + c_6 K: | c_2 = 2 c_5 Mn: | c_2 = c_6 C: | 2 c_3 = 2 c_7 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 = 3 c_2 = 2 c_3 = 5 c_4 = 3 c_5 = 1 c_6 = 2 c_7 = 5 Substitute the coefficients into the chemical reaction to obtain the balanced equation: Answer: | | 3 H_2SO_4 + 2 KMnO_4 + 5 CH_3CHO ⟶ 3 H_2O + K_2SO_4 + 2 MnSO_4 + 5 CH_3CO_2H
Structures
+ + ⟶ + + +
Names
sulfuric acid + potassium permanganate + acetaldehyde ⟶ water + potassium sulfate + manganese(II) sulfate + acetic acid
Equilibrium constant
![K_c = ([H2O]^3 [K2SO4] [MnSO4]^2 [CH3CO2H]^5)/([H2SO4]^3 [KMnO4]^2 [CH3CHO]^5)](../image_source/339a1b0784b93e465a1ff4f10b847437.png)
K_c = ([H2O]^3 [K2SO4] [MnSO4]^2 [CH3CO2H]^5)/([H2SO4]^3 [KMnO4]^2 [CH3CHO]^5)
Rate of reaction
![rate = -1/3 (Δ[H2SO4])/(Δt) = -1/2 (Δ[KMnO4])/(Δt) = -1/5 (Δ[CH3CHO])/(Δt) = 1/3 (Δ[H2O])/(Δt) = (Δ[K2SO4])/(Δt) = 1/2 (Δ[MnSO4])/(Δt) = 1/5 (Δ[CH3CO2H])/(Δt) (assuming constant volume and no accumulation of intermediates or side products)](../image_source/0e98bc6e620637f99bb2f214aa9dd5b8.png)
rate = -1/3 (Δ[H2SO4])/(Δt) = -1/2 (Δ[KMnO4])/(Δt) = -1/5 (Δ[CH3CHO])/(Δt) = 1/3 (Δ[H2O])/(Δt) = (Δ[K2SO4])/(Δt) = 1/2 (Δ[MnSO4])/(Δt) = 1/5 (Δ[CH3CO2H])/(Δt) (assuming constant volume and no accumulation of intermediates or side products)
Chemical names and formulas
| sulfuric acid | potassium permanganate | acetaldehyde | water | potassium sulfate | manganese(II) sulfate | acetic acid formula | H_2SO_4 | KMnO_4 | CH_3CHO | H_2O | K_2SO_4 | MnSO_4 | CH_3CO_2H Hill formula | H_2O_4S | KMnO_4 | C_2H_4O | H_2O | K_2O_4S | MnSO_4 | C_2H_4O_2 name | sulfuric acid | potassium permanganate | acetaldehyde | water | potassium sulfate | manganese(II) sulfate | acetic acid IUPAC name | sulfuric acid | potassium permanganate | acetaldehyde | water | dipotassium sulfate | manganese(+2) cation sulfate | acetic acid