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HNO3 + Na = H2O + NO + NaNO3

Input interpretation

HNO_3 nitric acid + Na sodium ⟶ H_2O water + NO nitric oxide + NaNO_3 sodium nitrate
HNO_3 nitric acid + Na sodium ⟶ H_2O water + NO nitric oxide + NaNO_3 sodium nitrate

Balanced equation

Balance the chemical equation algebraically: HNO_3 + Na ⟶ H_2O + NO + NaNO_3 Add stoichiometric coefficients, c_i, to the reactants and products: c_1 HNO_3 + c_2 Na ⟶ c_3 H_2O + c_4 NO + c_5 NaNO_3 Set the number of atoms in the reactants equal to the number of atoms in the products for H, N, O and Na: H: | c_1 = 2 c_3 N: | c_1 = c_4 + c_5 O: | 3 c_1 = c_3 + c_4 + 3 c_5 Na: | c_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_4 = 1 and solve the system of equations for the remaining coefficients: c_1 = 4 c_2 = 3 c_3 = 2 c_4 = 1 c_5 = 3 Substitute the coefficients into the chemical reaction to obtain the balanced equation: Answer: | | 4 HNO_3 + 3 Na ⟶ 2 H_2O + NO + 3 NaNO_3
Balance the chemical equation algebraically: HNO_3 + Na ⟶ H_2O + NO + NaNO_3 Add stoichiometric coefficients, c_i, to the reactants and products: c_1 HNO_3 + c_2 Na ⟶ c_3 H_2O + c_4 NO + c_5 NaNO_3 Set the number of atoms in the reactants equal to the number of atoms in the products for H, N, O and Na: H: | c_1 = 2 c_3 N: | c_1 = c_4 + c_5 O: | 3 c_1 = c_3 + c_4 + 3 c_5 Na: | c_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_4 = 1 and solve the system of equations for the remaining coefficients: c_1 = 4 c_2 = 3 c_3 = 2 c_4 = 1 c_5 = 3 Substitute the coefficients into the chemical reaction to obtain the balanced equation: Answer: | | 4 HNO_3 + 3 Na ⟶ 2 H_2O + NO + 3 NaNO_3

Structures

+ ⟶ + +
+ ⟶ + +

Names

nitric acid + sodium ⟶ water + nitric oxide + sodium nitrate
nitric acid + sodium ⟶ water + nitric oxide + sodium nitrate

Reaction thermodynamics

Entropy

| nitric acid | sodium | water | nitric oxide | sodium nitrate molecular entropy | 156 J/(mol K) | 51 J/(mol K) | 69.91 J/(mol K) | 211 J/(mol K) | 116 J/(mol K) total entropy | 624 J/(mol K) | 153 J/(mol K) | 139.8 J/(mol K) | 211 J/(mol K) | 348 J/(mol K) | S_initial = 777 J/(mol K) | | S_final = 698.8 J/(mol K) | | ΔS_rxn^0 | 698.8 J/(mol K) - 777 J/(mol K) = -78.18 J/(mol K) (exoentropic) | | | |
| nitric acid | sodium | water | nitric oxide | sodium nitrate molecular entropy | 156 J/(mol K) | 51 J/(mol K) | 69.91 J/(mol K) | 211 J/(mol K) | 116 J/(mol K) total entropy | 624 J/(mol K) | 153 J/(mol K) | 139.8 J/(mol K) | 211 J/(mol K) | 348 J/(mol K) | S_initial = 777 J/(mol K) | | S_final = 698.8 J/(mol K) | | ΔS_rxn^0 | 698.8 J/(mol K) - 777 J/(mol K) = -78.18 J/(mol K) (exoentropic) | | | |

Equilibrium constant

Construct the equilibrium constant, K, expression for: HNO_3 + Na ⟶ H_2O + NO + NaNO_3 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 HNO_3 + 3 Na ⟶ 2 H_2O + NO + 3 NaNO_3 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 HNO_3 | 4 | -4 Na | 3 | -3 H_2O | 2 | 2 NO | 1 | 1 NaNO_3 | 3 | 3 Assemble the activity expressions accounting for the state of matter and ν_i: chemical species | c_i | ν_i | activity expression HNO_3 | 4 | -4 | ([HNO3])^(-4) Na | 3 | -3 | ([Na])^(-3) H_2O | 2 | 2 | ([H2O])^2 NO | 1 | 1 | [NO] NaNO_3 | 3 | 3 | ([NaNO3])^3 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 = ([HNO3])^(-4) ([Na])^(-3) ([H2O])^2 [NO] ([NaNO3])^3 = (([H2O])^2 [NO] ([NaNO3])^3)/(([HNO3])^4 ([Na])^3)
Construct the equilibrium constant, K, expression for: HNO_3 + Na ⟶ H_2O + NO + NaNO_3 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 HNO_3 + 3 Na ⟶ 2 H_2O + NO + 3 NaNO_3 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 HNO_3 | 4 | -4 Na | 3 | -3 H_2O | 2 | 2 NO | 1 | 1 NaNO_3 | 3 | 3 Assemble the activity expressions accounting for the state of matter and ν_i: chemical species | c_i | ν_i | activity expression HNO_3 | 4 | -4 | ([HNO3])^(-4) Na | 3 | -3 | ([Na])^(-3) H_2O | 2 | 2 | ([H2O])^2 NO | 1 | 1 | [NO] NaNO_3 | 3 | 3 | ([NaNO3])^3 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 = ([HNO3])^(-4) ([Na])^(-3) ([H2O])^2 [NO] ([NaNO3])^3 = (([H2O])^2 [NO] ([NaNO3])^3)/(([HNO3])^4 ([Na])^3)

Rate of reaction

Construct the rate of reaction expression for: HNO_3 + Na ⟶ H_2O + NO + NaNO_3 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 HNO_3 + 3 Na ⟶ 2 H_2O + NO + 3 NaNO_3 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 HNO_3 | 4 | -4 Na | 3 | -3 H_2O | 2 | 2 NO | 1 | 1 NaNO_3 | 3 | 3 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 HNO_3 | 4 | -4 | -1/4 (Δ[HNO3])/(Δt) Na | 3 | -3 | -1/3 (Δ[Na])/(Δt) H_2O | 2 | 2 | 1/2 (Δ[H2O])/(Δt) NO | 1 | 1 | (Δ[NO])/(Δt) NaNO_3 | 3 | 3 | 1/3 (Δ[NaNO3])/(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[HNO3])/(Δt) = -1/3 (Δ[Na])/(Δt) = 1/2 (Δ[H2O])/(Δt) = (Δ[NO])/(Δt) = 1/3 (Δ[NaNO3])/(Δt) (assuming constant volume and no accumulation of intermediates or side products)
Construct the rate of reaction expression for: HNO_3 + Na ⟶ H_2O + NO + NaNO_3 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 HNO_3 + 3 Na ⟶ 2 H_2O + NO + 3 NaNO_3 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 HNO_3 | 4 | -4 Na | 3 | -3 H_2O | 2 | 2 NO | 1 | 1 NaNO_3 | 3 | 3 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 HNO_3 | 4 | -4 | -1/4 (Δ[HNO3])/(Δt) Na | 3 | -3 | -1/3 (Δ[Na])/(Δt) H_2O | 2 | 2 | 1/2 (Δ[H2O])/(Δt) NO | 1 | 1 | (Δ[NO])/(Δt) NaNO_3 | 3 | 3 | 1/3 (Δ[NaNO3])/(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[HNO3])/(Δt) = -1/3 (Δ[Na])/(Δt) = 1/2 (Δ[H2O])/(Δt) = (Δ[NO])/(Δt) = 1/3 (Δ[NaNO3])/(Δt) (assuming constant volume and no accumulation of intermediates or side products)

Chemical names and formulas

| nitric acid | sodium | water | nitric oxide | sodium nitrate formula | HNO_3 | Na | H_2O | NO | NaNO_3 Hill formula | HNO_3 | Na | H_2O | NO | NNaO_3 name | nitric acid | sodium | water | nitric oxide | sodium nitrate
| nitric acid | sodium | water | nitric oxide | sodium nitrate formula | HNO_3 | Na | H_2O | NO | NaNO_3 Hill formula | HNO_3 | Na | H_2O | NO | NNaO_3 name | nitric acid | sodium | water | nitric oxide | sodium nitrate

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