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H2SO4 + NaNO3 + Ag2Se = H2O + Na2SO4 + NO2 + Ag2SO4 + SeO2

Input interpretation

H_2SO_4 sulfuric acid + NaNO_3 sodium nitrate + Ag_2Se silver selenide ⟶ H_2O water + Na_2SO_4 sodium sulfate + NO_2 nitrogen dioxide + Ag_2SO_4 silver sulfate + SeO_2 selenium dioxide
H_2SO_4 sulfuric acid + NaNO_3 sodium nitrate + Ag_2Se silver selenide ⟶ H_2O water + Na_2SO_4 sodium sulfate + NO_2 nitrogen dioxide + Ag_2SO_4 silver sulfate + SeO_2 selenium dioxide

Balanced equation

Balance the chemical equation algebraically: H_2SO_4 + NaNO_3 + Ag_2Se ⟶ H_2O + Na_2SO_4 + NO_2 + Ag_2SO_4 + SeO_2 Add stoichiometric coefficients, c_i, to the reactants and products: c_1 H_2SO_4 + c_2 NaNO_3 + c_3 Ag_2Se ⟶ c_4 H_2O + c_5 Na_2SO_4 + c_6 NO_2 + c_7 Ag_2SO_4 + c_8 SeO_2 Set the number of atoms in the reactants equal to the number of atoms in the products for H, O, S, N, Na, Ag and Se: H: | 2 c_1 = 2 c_4 O: | 4 c_1 + 3 c_2 = c_4 + 4 c_5 + 2 c_6 + 4 c_7 + 2 c_8 S: | c_1 = c_5 + c_7 N: | c_2 = c_6 Na: | c_2 = 2 c_5 Ag: | 2 c_3 = 2 c_7 Se: | c_3 = c_8 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 = 4 c_2 = 6 c_3 = 1 c_4 = 4 c_5 = 3 c_6 = 6 c_7 = 1 c_8 = 1 Substitute the coefficients into the chemical reaction to obtain the balanced equation: Answer: | | 4 H_2SO_4 + 6 NaNO_3 + Ag_2Se ⟶ 4 H_2O + 3 Na_2SO_4 + 6 NO_2 + Ag_2SO_4 + SeO_2
Balance the chemical equation algebraically: H_2SO_4 + NaNO_3 + Ag_2Se ⟶ H_2O + Na_2SO_4 + NO_2 + Ag_2SO_4 + SeO_2 Add stoichiometric coefficients, c_i, to the reactants and products: c_1 H_2SO_4 + c_2 NaNO_3 + c_3 Ag_2Se ⟶ c_4 H_2O + c_5 Na_2SO_4 + c_6 NO_2 + c_7 Ag_2SO_4 + c_8 SeO_2 Set the number of atoms in the reactants equal to the number of atoms in the products for H, O, S, N, Na, Ag and Se: H: | 2 c_1 = 2 c_4 O: | 4 c_1 + 3 c_2 = c_4 + 4 c_5 + 2 c_6 + 4 c_7 + 2 c_8 S: | c_1 = c_5 + c_7 N: | c_2 = c_6 Na: | c_2 = 2 c_5 Ag: | 2 c_3 = 2 c_7 Se: | c_3 = c_8 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 = 4 c_2 = 6 c_3 = 1 c_4 = 4 c_5 = 3 c_6 = 6 c_7 = 1 c_8 = 1 Substitute the coefficients into the chemical reaction to obtain the balanced equation: Answer: | | 4 H_2SO_4 + 6 NaNO_3 + Ag_2Se ⟶ 4 H_2O + 3 Na_2SO_4 + 6 NO_2 + Ag_2SO_4 + SeO_2

Structures

+ + ⟶ + + + +
+ + ⟶ + + + +

Names

sulfuric acid + sodium nitrate + silver selenide ⟶ water + sodium sulfate + nitrogen dioxide + silver sulfate + selenium dioxide
sulfuric acid + sodium nitrate + silver selenide ⟶ water + sodium sulfate + nitrogen dioxide + silver sulfate + selenium dioxide

Equilibrium constant

Construct the equilibrium constant, K, expression for: H_2SO_4 + NaNO_3 + Ag_2Se ⟶ H_2O + Na_2SO_4 + NO_2 + Ag_2SO_4 + SeO_2 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: 4 H_2SO_4 + 6 NaNO_3 + Ag_2Se ⟶ 4 H_2O + 3 Na_2SO_4 + 6 NO_2 + Ag_2SO_4 + SeO_2 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 | 4 | -4 NaNO_3 | 6 | -6 Ag_2Se | 1 | -1 H_2O | 4 | 4 Na_2SO_4 | 3 | 3 NO_2 | 6 | 6 Ag_2SO_4 | 1 | 1 SeO_2 | 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 | 4 | -4 | ([H2SO4])^(-4) NaNO_3 | 6 | -6 | ([NaNO3])^(-6) Ag_2Se | 1 | -1 | ([Ag2Se])^(-1) H_2O | 4 | 4 | ([H2O])^4 Na_2SO_4 | 3 | 3 | ([Na2SO4])^3 NO_2 | 6 | 6 | ([NO2])^6 Ag_2SO_4 | 1 | 1 | [Ag2SO4] SeO_2 | 1 | 1 | [SeO2] 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])^(-4) ([NaNO3])^(-6) ([Ag2Se])^(-1) ([H2O])^4 ([Na2SO4])^3 ([NO2])^6 [Ag2SO4] [SeO2] = (([H2O])^4 ([Na2SO4])^3 ([NO2])^6 [Ag2SO4] [SeO2])/(([H2SO4])^4 ([NaNO3])^6 [Ag2Se])
Construct the equilibrium constant, K, expression for: H_2SO_4 + NaNO_3 + Ag_2Se ⟶ H_2O + Na_2SO_4 + NO_2 + Ag_2SO_4 + SeO_2 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: 4 H_2SO_4 + 6 NaNO_3 + Ag_2Se ⟶ 4 H_2O + 3 Na_2SO_4 + 6 NO_2 + Ag_2SO_4 + SeO_2 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 | 4 | -4 NaNO_3 | 6 | -6 Ag_2Se | 1 | -1 H_2O | 4 | 4 Na_2SO_4 | 3 | 3 NO_2 | 6 | 6 Ag_2SO_4 | 1 | 1 SeO_2 | 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 | 4 | -4 | ([H2SO4])^(-4) NaNO_3 | 6 | -6 | ([NaNO3])^(-6) Ag_2Se | 1 | -1 | ([Ag2Se])^(-1) H_2O | 4 | 4 | ([H2O])^4 Na_2SO_4 | 3 | 3 | ([Na2SO4])^3 NO_2 | 6 | 6 | ([NO2])^6 Ag_2SO_4 | 1 | 1 | [Ag2SO4] SeO_2 | 1 | 1 | [SeO2] 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])^(-4) ([NaNO3])^(-6) ([Ag2Se])^(-1) ([H2O])^4 ([Na2SO4])^3 ([NO2])^6 [Ag2SO4] [SeO2] = (([H2O])^4 ([Na2SO4])^3 ([NO2])^6 [Ag2SO4] [SeO2])/(([H2SO4])^4 ([NaNO3])^6 [Ag2Se])

Rate of reaction

Construct the rate of reaction expression for: H_2SO_4 + NaNO_3 + Ag_2Se ⟶ H_2O + Na_2SO_4 + NO_2 + Ag_2SO_4 + SeO_2 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: 4 H_2SO_4 + 6 NaNO_3 + Ag_2Se ⟶ 4 H_2O + 3 Na_2SO_4 + 6 NO_2 + Ag_2SO_4 + SeO_2 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 | 4 | -4 NaNO_3 | 6 | -6 Ag_2Se | 1 | -1 H_2O | 4 | 4 Na_2SO_4 | 3 | 3 NO_2 | 6 | 6 Ag_2SO_4 | 1 | 1 SeO_2 | 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 | 4 | -4 | -1/4 (Δ[H2SO4])/(Δt) NaNO_3 | 6 | -6 | -1/6 (Δ[NaNO3])/(Δt) Ag_2Se | 1 | -1 | -(Δ[Ag2Se])/(Δt) H_2O | 4 | 4 | 1/4 (Δ[H2O])/(Δt) Na_2SO_4 | 3 | 3 | 1/3 (Δ[Na2SO4])/(Δt) NO_2 | 6 | 6 | 1/6 (Δ[NO2])/(Δt) Ag_2SO_4 | 1 | 1 | (Δ[Ag2SO4])/(Δt) SeO_2 | 1 | 1 | (Δ[SeO2])/(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 = -1/4 (Δ[H2SO4])/(Δt) = -1/6 (Δ[NaNO3])/(Δt) = -(Δ[Ag2Se])/(Δt) = 1/4 (Δ[H2O])/(Δt) = 1/3 (Δ[Na2SO4])/(Δt) = 1/6 (Δ[NO2])/(Δt) = (Δ[Ag2SO4])/(Δt) = (Δ[SeO2])/(Δt) (assuming constant volume and no accumulation of intermediates or side products)
Construct the rate of reaction expression for: H_2SO_4 + NaNO_3 + Ag_2Se ⟶ H_2O + Na_2SO_4 + NO_2 + Ag_2SO_4 + SeO_2 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: 4 H_2SO_4 + 6 NaNO_3 + Ag_2Se ⟶ 4 H_2O + 3 Na_2SO_4 + 6 NO_2 + Ag_2SO_4 + SeO_2 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 | 4 | -4 NaNO_3 | 6 | -6 Ag_2Se | 1 | -1 H_2O | 4 | 4 Na_2SO_4 | 3 | 3 NO_2 | 6 | 6 Ag_2SO_4 | 1 | 1 SeO_2 | 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 | 4 | -4 | -1/4 (Δ[H2SO4])/(Δt) NaNO_3 | 6 | -6 | -1/6 (Δ[NaNO3])/(Δt) Ag_2Se | 1 | -1 | -(Δ[Ag2Se])/(Δt) H_2O | 4 | 4 | 1/4 (Δ[H2O])/(Δt) Na_2SO_4 | 3 | 3 | 1/3 (Δ[Na2SO4])/(Δt) NO_2 | 6 | 6 | 1/6 (Δ[NO2])/(Δt) Ag_2SO_4 | 1 | 1 | (Δ[Ag2SO4])/(Δt) SeO_2 | 1 | 1 | (Δ[SeO2])/(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 = -1/4 (Δ[H2SO4])/(Δt) = -1/6 (Δ[NaNO3])/(Δt) = -(Δ[Ag2Se])/(Δt) = 1/4 (Δ[H2O])/(Δt) = 1/3 (Δ[Na2SO4])/(Δt) = 1/6 (Δ[NO2])/(Δt) = (Δ[Ag2SO4])/(Δt) = (Δ[SeO2])/(Δt) (assuming constant volume and no accumulation of intermediates or side products)

Chemical names and formulas

| sulfuric acid | sodium nitrate | silver selenide | water | sodium sulfate | nitrogen dioxide | silver sulfate | selenium dioxide formula | H_2SO_4 | NaNO_3 | Ag_2Se | H_2O | Na_2SO_4 | NO_2 | Ag_2SO_4 | SeO_2 Hill formula | H_2O_4S | NNaO_3 | Ag_2Se | H_2O | Na_2O_4S | NO_2 | Ag_2O_4S | O_2Se name | sulfuric acid | sodium nitrate | silver selenide | water | sodium sulfate | nitrogen dioxide | silver sulfate | selenium dioxide IUPAC name | sulfuric acid | sodium nitrate | selenium; silver | water | disodium sulfate | Nitrogen dioxide | disilver sulfate | selenium dioxide
| sulfuric acid | sodium nitrate | silver selenide | water | sodium sulfate | nitrogen dioxide | silver sulfate | selenium dioxide formula | H_2SO_4 | NaNO_3 | Ag_2Se | H_2O | Na_2SO_4 | NO_2 | Ag_2SO_4 | SeO_2 Hill formula | H_2O_4S | NNaO_3 | Ag_2Se | H_2O | Na_2O_4S | NO_2 | Ag_2O_4S | O_2Se name | sulfuric acid | sodium nitrate | silver selenide | water | sodium sulfate | nitrogen dioxide | silver sulfate | selenium dioxide IUPAC name | sulfuric acid | sodium nitrate | selenium; silver | water | disodium sulfate | Nitrogen dioxide | disilver sulfate | selenium dioxide

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