Input interpretation
H_2SO_4 sulfuric acid + MnO_2 manganese dioxide + NaBr sodium bromide ⟶ H_2O water + Na_2SO_4 sodium sulfate + MnSO_4 manganese(II) sulfate + Br_2 bromine
Balanced equation
Balance the chemical equation algebraically: H_2SO_4 + MnO_2 + NaBr ⟶ H_2O + Na_2SO_4 + MnSO_4 + Br_2 Add stoichiometric coefficients, c_i, to the reactants and products: c_1 H_2SO_4 + c_2 MnO_2 + c_3 NaBr ⟶ c_4 H_2O + c_5 Na_2SO_4 + c_6 MnSO_4 + c_7 Br_2 Set the number of atoms in the reactants equal to the number of atoms in the products for H, O, S, Mn, Br and Na: H: | 2 c_1 = 2 c_4 O: | 4 c_1 + 2 c_2 = c_4 + 4 c_5 + 4 c_6 S: | c_1 = c_5 + c_6 Mn: | c_2 = c_6 Br: | c_3 = 2 c_7 Na: | 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 = 2 c_2 = 1 c_3 = 2 c_4 = 2 c_5 = 1 c_6 = 1 c_7 = 1 Substitute the coefficients into the chemical reaction to obtain the balanced equation: Answer: | | 2 H_2SO_4 + MnO_2 + 2 NaBr ⟶ 2 H_2O + Na_2SO_4 + MnSO_4 + Br_2
Structures
+ + ⟶ + + +
Names
sulfuric acid + manganese dioxide + sodium bromide ⟶ water + sodium sulfate + manganese(II) sulfate + bromine
Equilibrium constant
![K_c = ([H2O]^2 [Na2SO4] [MnSO4] [Br2])/([H2SO4]^2 [MnO2] [NaBr]^2)](../image_source/6b5f980936fe2f4d761ddbc4fdf173c2.png)
K_c = ([H2O]^2 [Na2SO4] [MnSO4] [Br2])/([H2SO4]^2 [MnO2] [NaBr]^2)
Rate of reaction
![rate = -1/2 (Δ[H2SO4])/(Δt) = -(Δ[MnO2])/(Δt) = -1/2 (Δ[NaBr])/(Δt) = 1/2 (Δ[H2O])/(Δt) = (Δ[Na2SO4])/(Δt) = (Δ[MnSO4])/(Δt) = (Δ[Br2])/(Δt) (assuming constant volume and no accumulation of intermediates or side products)](../image_source/85a8f2343c84fecfde1ff11256146c9d.png)
rate = -1/2 (Δ[H2SO4])/(Δt) = -(Δ[MnO2])/(Δt) = -1/2 (Δ[NaBr])/(Δt) = 1/2 (Δ[H2O])/(Δt) = (Δ[Na2SO4])/(Δt) = (Δ[MnSO4])/(Δt) = (Δ[Br2])/(Δt) (assuming constant volume and no accumulation of intermediates or side products)
Chemical names and formulas
| sulfuric acid | manganese dioxide | sodium bromide | water | sodium sulfate | manganese(II) sulfate | bromine formula | H_2SO_4 | MnO_2 | NaBr | H_2O | Na_2SO_4 | MnSO_4 | Br_2 Hill formula | H_2O_4S | MnO_2 | BrNa | H_2O | Na_2O_4S | MnSO_4 | Br_2 name | sulfuric acid | manganese dioxide | sodium bromide | water | sodium sulfate | manganese(II) sulfate | bromine IUPAC name | sulfuric acid | dioxomanganese | sodium bromide | water | disodium sulfate | manganese(+2) cation sulfate | molecular bromine