Input interpretation
NaOH sodium hydroxide + AgNO_3 silver nitrate + Na_2SO_3 sodium sulfite ⟶ H_2O water + Na_2SO_4 sodium sulfate + NaNO_3 sodium nitrate + Ag silver
Balanced equation
Balance the chemical equation algebraically: NaOH + AgNO_3 + Na_2SO_3 ⟶ H_2O + Na_2SO_4 + NaNO_3 + Ag Add stoichiometric coefficients, c_i, to the reactants and products: c_1 NaOH + c_2 AgNO_3 + c_3 Na_2SO_3 ⟶ c_4 H_2O + c_5 Na_2SO_4 + c_6 NaNO_3 + c_7 Ag Set the number of atoms in the reactants equal to the number of atoms in the products for H, Na, O, Ag, N and S: H: | c_1 = 2 c_4 Na: | c_1 + 2 c_3 = 2 c_5 + c_6 O: | c_1 + 3 c_2 + 3 c_3 = c_4 + 4 c_5 + 3 c_6 Ag: | c_2 = c_7 N: | c_2 = c_6 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_3 = 1 and solve the system of equations for the remaining coefficients: c_1 = 2 c_2 = 2 c_3 = 1 c_4 = 1 c_5 = 1 c_6 = 2 c_7 = 2 Substitute the coefficients into the chemical reaction to obtain the balanced equation: Answer: | | 2 NaOH + 2 AgNO_3 + Na_2SO_3 ⟶ H_2O + Na_2SO_4 + 2 NaNO_3 + 2 Ag
Structures
+ + ⟶ + + +
Names
sodium hydroxide + silver nitrate + sodium sulfite ⟶ water + sodium sulfate + sodium nitrate + silver
Reaction thermodynamics
Enthalpy
ΔH_rxn^0 | -2609 kJ/mol - -2201 kJ/mol = -407.5 kJ/mol (exothermic)
Units
Equilibrium constant
![K_c = ([H2O] [Na2SO4] [NaNO3]^2 [Ag]^2)/([NaOH]^2 [AgNO3]^2 [Na2SO3])](../image_source/797c9ca680534da7f9a69ba6975a41f7.png)
K_c = ([H2O] [Na2SO4] [NaNO3]^2 [Ag]^2)/([NaOH]^2 [AgNO3]^2 [Na2SO3])
Rate of reaction
![rate = -1/2 (Δ[NaOH])/(Δt) = -1/2 (Δ[AgNO3])/(Δt) = -(Δ[Na2SO3])/(Δt) = (Δ[H2O])/(Δt) = (Δ[Na2SO4])/(Δt) = 1/2 (Δ[NaNO3])/(Δt) = 1/2 (Δ[Ag])/(Δt) (assuming constant volume and no accumulation of intermediates or side products)](../image_source/0a6bedccfaf58b387cda21a85ca3087f.png)
rate = -1/2 (Δ[NaOH])/(Δt) = -1/2 (Δ[AgNO3])/(Δt) = -(Δ[Na2SO3])/(Δt) = (Δ[H2O])/(Δt) = (Δ[Na2SO4])/(Δt) = 1/2 (Δ[NaNO3])/(Δt) = 1/2 (Δ[Ag])/(Δt) (assuming constant volume and no accumulation of intermediates or side products)
Chemical names and formulas
| sodium hydroxide | silver nitrate | sodium sulfite | water | sodium sulfate | sodium nitrate | silver formula | NaOH | AgNO_3 | Na_2SO_3 | H_2O | Na_2SO_4 | NaNO_3 | Ag Hill formula | HNaO | AgNO_3 | Na_2O_3S | H_2O | Na_2O_4S | NNaO_3 | Ag name | sodium hydroxide | silver nitrate | sodium sulfite | water | sodium sulfate | sodium nitrate | silver IUPAC name | sodium hydroxide | silver nitrate | disodium sulfite | water | disodium sulfate | sodium nitrate | silver