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H2SO4 + Na2S2O3 = H2O + SO2 + Na2SO4

Input interpretation

H_2SO_4 sulfuric acid + Na_2S_2O_3 sodium hyposulfite ⟶ H_2O water + SO_2 sulfur dioxide + Na_2SO_4 sodium sulfate
H_2SO_4 sulfuric acid + Na_2S_2O_3 sodium hyposulfite ⟶ H_2O water + SO_2 sulfur dioxide + Na_2SO_4 sodium sulfate

Balanced equation

Balance the chemical equation algebraically: H_2SO_4 + Na_2S_2O_3 ⟶ H_2O + SO_2 + Na_2SO_4 Add stoichiometric coefficients, c_i, to the reactants and products: c_1 H_2SO_4 + c_2 Na_2S_2O_3 ⟶ c_3 H_2O + c_4 SO_2 + c_5 Na_2SO_4 Set the number of atoms in the reactants equal to the number of atoms in the products for H, O, S and Na: H: | 2 c_1 = 2 c_3 O: | 4 c_1 + 3 c_2 = c_3 + 2 c_4 + 4 c_5 S: | c_1 + 2 c_2 = c_4 + c_5 Na: | 2 c_2 = 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 = 3 c_2 = 1 c_3 = 3 c_4 = 4 c_5 = 1 Substitute the coefficients into the chemical reaction to obtain the balanced equation: Answer: | | 3 H_2SO_4 + Na_2S_2O_3 ⟶ 3 H_2O + 4 SO_2 + Na_2SO_4
Balance the chemical equation algebraically: H_2SO_4 + Na_2S_2O_3 ⟶ H_2O + SO_2 + Na_2SO_4 Add stoichiometric coefficients, c_i, to the reactants and products: c_1 H_2SO_4 + c_2 Na_2S_2O_3 ⟶ c_3 H_2O + c_4 SO_2 + c_5 Na_2SO_4 Set the number of atoms in the reactants equal to the number of atoms in the products for H, O, S and Na: H: | 2 c_1 = 2 c_3 O: | 4 c_1 + 3 c_2 = c_3 + 2 c_4 + 4 c_5 S: | c_1 + 2 c_2 = c_4 + c_5 Na: | 2 c_2 = 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 = 3 c_2 = 1 c_3 = 3 c_4 = 4 c_5 = 1 Substitute the coefficients into the chemical reaction to obtain the balanced equation: Answer: | | 3 H_2SO_4 + Na_2S_2O_3 ⟶ 3 H_2O + 4 SO_2 + Na_2SO_4

Structures

+ ⟶ + +
+ ⟶ + +

Names

sulfuric acid + sodium hyposulfite ⟶ water + sulfur dioxide + sodium sulfate
sulfuric acid + sodium hyposulfite ⟶ water + sulfur dioxide + sodium sulfate

Equilibrium constant

Construct the equilibrium constant, K, expression for: H_2SO_4 + Na_2S_2O_3 ⟶ H_2O + SO_2 + Na_2SO_4 Plan: • Balance the chemical equation. • Determine the stoichiometric numbers. • Assemble the activity expression for each chemical species. • Use the activity expressions to build the equilibrium constant expression. Write the balanced chemical equation: 3 H_2SO_4 + Na_2S_2O_3 ⟶ 3 H_2O + 4 SO_2 + Na_2SO_4 Assign stoichiometric numbers, ν_i, using the stoichiometric coefficients, c_i, from the balanced chemical equation in the following manner: ν_i = -c_i for reactants and ν_i = c_i for products: chemical species | c_i | ν_i H_2SO_4 | 3 | -3 Na_2S_2O_3 | 1 | -1 H_2O | 3 | 3 SO_2 | 4 | 4 Na_2SO_4 | 1 | 1 Assemble the activity expressions accounting for the state of matter and ν_i: chemical species | c_i | ν_i | activity expression H_2SO_4 | 3 | -3 | ([H2SO4])^(-3) Na_2S_2O_3 | 1 | -1 | ([Na2S2O3])^(-1) H_2O | 3 | 3 | ([H2O])^3 SO_2 | 4 | 4 | ([SO2])^4 Na_2SO_4 | 1 | 1 | [Na2SO4] The equilibrium constant symbol in the concentration basis is: K_c Mulitply the activity expressions to arrive at the K_c expression: Answer: | | K_c = ([H2SO4])^(-3) ([Na2S2O3])^(-1) ([H2O])^3 ([SO2])^4 [Na2SO4] = (([H2O])^3 ([SO2])^4 [Na2SO4])/(([H2SO4])^3 [Na2S2O3])
Construct the equilibrium constant, K, expression for: H_2SO_4 + Na_2S_2O_3 ⟶ H_2O + SO_2 + Na_2SO_4 Plan: • Balance the chemical equation. • Determine the stoichiometric numbers. • Assemble the activity expression for each chemical species. • Use the activity expressions to build the equilibrium constant expression. Write the balanced chemical equation: 3 H_2SO_4 + Na_2S_2O_3 ⟶ 3 H_2O + 4 SO_2 + Na_2SO_4 Assign stoichiometric numbers, ν_i, using the stoichiometric coefficients, c_i, from the balanced chemical equation in the following manner: ν_i = -c_i for reactants and ν_i = c_i for products: chemical species | c_i | ν_i H_2SO_4 | 3 | -3 Na_2S_2O_3 | 1 | -1 H_2O | 3 | 3 SO_2 | 4 | 4 Na_2SO_4 | 1 | 1 Assemble the activity expressions accounting for the state of matter and ν_i: chemical species | c_i | ν_i | activity expression H_2SO_4 | 3 | -3 | ([H2SO4])^(-3) Na_2S_2O_3 | 1 | -1 | ([Na2S2O3])^(-1) H_2O | 3 | 3 | ([H2O])^3 SO_2 | 4 | 4 | ([SO2])^4 Na_2SO_4 | 1 | 1 | [Na2SO4] The equilibrium constant symbol in the concentration basis is: K_c Mulitply the activity expressions to arrive at the K_c expression: Answer: | | K_c = ([H2SO4])^(-3) ([Na2S2O3])^(-1) ([H2O])^3 ([SO2])^4 [Na2SO4] = (([H2O])^3 ([SO2])^4 [Na2SO4])/(([H2SO4])^3 [Na2S2O3])

Rate of reaction

Construct the rate of reaction expression for: H_2SO_4 + Na_2S_2O_3 ⟶ H_2O + SO_2 + Na_2SO_4 Plan: • Balance the chemical equation. • Determine the stoichiometric numbers. • Assemble the rate term for each chemical species. • Write the rate of reaction expression. Write the balanced chemical equation: 3 H_2SO_4 + Na_2S_2O_3 ⟶ 3 H_2O + 4 SO_2 + Na_2SO_4 Assign stoichiometric numbers, ν_i, using the stoichiometric coefficients, c_i, from the balanced chemical equation in the following manner: ν_i = -c_i for reactants and ν_i = c_i for products: chemical species | c_i | ν_i H_2SO_4 | 3 | -3 Na_2S_2O_3 | 1 | -1 H_2O | 3 | 3 SO_2 | 4 | 4 Na_2SO_4 | 1 | 1 The rate term for each chemical species, B_i, is 1/ν_i(Δ[B_i])/(Δt) where [B_i] is the amount concentration and t is time: chemical species | c_i | ν_i | rate term H_2SO_4 | 3 | -3 | -1/3 (Δ[H2SO4])/(Δt) Na_2S_2O_3 | 1 | -1 | -(Δ[Na2S2O3])/(Δt) H_2O | 3 | 3 | 1/3 (Δ[H2O])/(Δt) SO_2 | 4 | 4 | 1/4 (Δ[SO2])/(Δt) Na_2SO_4 | 1 | 1 | (Δ[Na2SO4])/(Δt) (for infinitesimal rate of change, replace Δ with d) Set the rate terms equal to each other to arrive at the rate expression: Answer: | | rate = -1/3 (Δ[H2SO4])/(Δt) = -(Δ[Na2S2O3])/(Δt) = 1/3 (Δ[H2O])/(Δt) = 1/4 (Δ[SO2])/(Δt) = (Δ[Na2SO4])/(Δt) (assuming constant volume and no accumulation of intermediates or side products)
Construct the rate of reaction expression for: H_2SO_4 + Na_2S_2O_3 ⟶ H_2O + SO_2 + Na_2SO_4 Plan: • Balance the chemical equation. • Determine the stoichiometric numbers. • Assemble the rate term for each chemical species. • Write the rate of reaction expression. Write the balanced chemical equation: 3 H_2SO_4 + Na_2S_2O_3 ⟶ 3 H_2O + 4 SO_2 + Na_2SO_4 Assign stoichiometric numbers, ν_i, using the stoichiometric coefficients, c_i, from the balanced chemical equation in the following manner: ν_i = -c_i for reactants and ν_i = c_i for products: chemical species | c_i | ν_i H_2SO_4 | 3 | -3 Na_2S_2O_3 | 1 | -1 H_2O | 3 | 3 SO_2 | 4 | 4 Na_2SO_4 | 1 | 1 The rate term for each chemical species, B_i, is 1/ν_i(Δ[B_i])/(Δt) where [B_i] is the amount concentration and t is time: chemical species | c_i | ν_i | rate term H_2SO_4 | 3 | -3 | -1/3 (Δ[H2SO4])/(Δt) Na_2S_2O_3 | 1 | -1 | -(Δ[Na2S2O3])/(Δt) H_2O | 3 | 3 | 1/3 (Δ[H2O])/(Δt) SO_2 | 4 | 4 | 1/4 (Δ[SO2])/(Δt) Na_2SO_4 | 1 | 1 | (Δ[Na2SO4])/(Δt) (for infinitesimal rate of change, replace Δ with d) Set the rate terms equal to each other to arrive at the rate expression: Answer: | | rate = -1/3 (Δ[H2SO4])/(Δt) = -(Δ[Na2S2O3])/(Δt) = 1/3 (Δ[H2O])/(Δt) = 1/4 (Δ[SO2])/(Δt) = (Δ[Na2SO4])/(Δt) (assuming constant volume and no accumulation of intermediates or side products)

Chemical names and formulas

| sulfuric acid | sodium hyposulfite | water | sulfur dioxide | sodium sulfate formula | H_2SO_4 | Na_2S_2O_3 | H_2O | SO_2 | Na_2SO_4 Hill formula | H_2O_4S | Na_2O_3S_2 | H_2O | O_2S | Na_2O_4S name | sulfuric acid | sodium hyposulfite | water | sulfur dioxide | sodium sulfate IUPAC name | sulfuric acid | | water | sulfur dioxide | disodium sulfate
| sulfuric acid | sodium hyposulfite | water | sulfur dioxide | sodium sulfate formula | H_2SO_4 | Na_2S_2O_3 | H_2O | SO_2 | Na_2SO_4 Hill formula | H_2O_4S | Na_2O_3S_2 | H_2O | O_2S | Na_2O_4S name | sulfuric acid | sodium hyposulfite | water | sulfur dioxide | sodium sulfate IUPAC name | sulfuric acid | | water | sulfur dioxide | disodium sulfate

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