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HNO3 + S = H2SO4 + H2 + NO2

Input interpretation

HNO_3 nitric acid + S mixed sulfur ⟶ H_2SO_4 sulfuric acid + H_2 hydrogen + NO_2 nitrogen dioxide
HNO_3 nitric acid + S mixed sulfur ⟶ H_2SO_4 sulfuric acid + H_2 hydrogen + NO_2 nitrogen dioxide

Balanced equation

Balance the chemical equation algebraically: HNO_3 + S ⟶ H_2SO_4 + H_2 + NO_2 Add stoichiometric coefficients, c_i, to the reactants and products: c_1 HNO_3 + c_2 S ⟶ c_3 H_2SO_4 + c_4 H_2 + c_5 NO_2 Set the number of atoms in the reactants equal to the number of atoms in the products for H, N, O and S: H: | c_1 = 2 c_3 + 2 c_4 N: | c_1 = c_5 O: | 3 c_1 = 4 c_3 + 2 c_5 S: | c_2 = c_3 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 = 4 c_2 = 1 c_3 = 1 c_4 = 1 c_5 = 4 Substitute the coefficients into the chemical reaction to obtain the balanced equation: Answer: |   | 4 HNO_3 + S ⟶ H_2SO_4 + H_2 + 4 NO_2
Balance the chemical equation algebraically: HNO_3 + S ⟶ H_2SO_4 + H_2 + NO_2 Add stoichiometric coefficients, c_i, to the reactants and products: c_1 HNO_3 + c_2 S ⟶ c_3 H_2SO_4 + c_4 H_2 + c_5 NO_2 Set the number of atoms in the reactants equal to the number of atoms in the products for H, N, O and S: H: | c_1 = 2 c_3 + 2 c_4 N: | c_1 = c_5 O: | 3 c_1 = 4 c_3 + 2 c_5 S: | c_2 = c_3 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 = 4 c_2 = 1 c_3 = 1 c_4 = 1 c_5 = 4 Substitute the coefficients into the chemical reaction to obtain the balanced equation: Answer: | | 4 HNO_3 + S ⟶ H_2SO_4 + H_2 + 4 NO_2

Structures

 + ⟶ + +
+ ⟶ + +

Names

nitric acid + mixed sulfur ⟶ sulfuric acid + hydrogen + nitrogen dioxide
nitric acid + mixed sulfur ⟶ sulfuric acid + hydrogen + nitrogen dioxide

Equilibrium constant

Construct the equilibrium constant, K, expression for: HNO_3 + S ⟶ H_2SO_4 + H_2 + NO_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 HNO_3 + S ⟶ H_2SO_4 + H_2 + 4 NO_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 HNO_3 | 4 | -4 S | 1 | -1 H_2SO_4 | 1 | 1 H_2 | 1 | 1 NO_2 | 4 | 4 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) S | 1 | -1 | ([S])^(-1) H_2SO_4 | 1 | 1 | [H2SO4] H_2 | 1 | 1 | [H2] NO_2 | 4 | 4 | ([NO2])^4 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) ([S])^(-1) [H2SO4] [H2] ([NO2])^4 = ([H2SO4] [H2] ([NO2])^4)/(([HNO3])^4 [S])
Construct the equilibrium constant, K, expression for: HNO_3 + S ⟶ H_2SO_4 + H_2 + NO_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 HNO_3 + S ⟶ H_2SO_4 + H_2 + 4 NO_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 HNO_3 | 4 | -4 S | 1 | -1 H_2SO_4 | 1 | 1 H_2 | 1 | 1 NO_2 | 4 | 4 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) S | 1 | -1 | ([S])^(-1) H_2SO_4 | 1 | 1 | [H2SO4] H_2 | 1 | 1 | [H2] NO_2 | 4 | 4 | ([NO2])^4 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) ([S])^(-1) [H2SO4] [H2] ([NO2])^4 = ([H2SO4] [H2] ([NO2])^4)/(([HNO3])^4 [S])

Rate of reaction

Construct the rate of reaction expression for: HNO_3 + S ⟶ H_2SO_4 + H_2 + NO_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 HNO_3 + S ⟶ H_2SO_4 + H_2 + 4 NO_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 HNO_3 | 4 | -4 S | 1 | -1 H_2SO_4 | 1 | 1 H_2 | 1 | 1 NO_2 | 4 | 4 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) S | 1 | -1 | -(Δ[S])/(Δt) H_2SO_4 | 1 | 1 | (Δ[H2SO4])/(Δt) H_2 | 1 | 1 | (Δ[H2])/(Δt) NO_2 | 4 | 4 | 1/4 (Δ[NO2])/(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) = -(Δ[S])/(Δt) = (Δ[H2SO4])/(Δt) = (Δ[H2])/(Δt) = 1/4 (Δ[NO2])/(Δt) (assuming constant volume and no accumulation of intermediates or side products)
Construct the rate of reaction expression for: HNO_3 + S ⟶ H_2SO_4 + H_2 + NO_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 HNO_3 + S ⟶ H_2SO_4 + H_2 + 4 NO_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 HNO_3 | 4 | -4 S | 1 | -1 H_2SO_4 | 1 | 1 H_2 | 1 | 1 NO_2 | 4 | 4 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) S | 1 | -1 | -(Δ[S])/(Δt) H_2SO_4 | 1 | 1 | (Δ[H2SO4])/(Δt) H_2 | 1 | 1 | (Δ[H2])/(Δt) NO_2 | 4 | 4 | 1/4 (Δ[NO2])/(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) = -(Δ[S])/(Δt) = (Δ[H2SO4])/(Δt) = (Δ[H2])/(Δt) = 1/4 (Δ[NO2])/(Δt) (assuming constant volume and no accumulation of intermediates or side products)

Chemical names and formulas

 | nitric acid | mixed sulfur | sulfuric acid | hydrogen | nitrogen dioxide formula | HNO_3 | S | H_2SO_4 | H_2 | NO_2 Hill formula | HNO_3 | S | H_2O_4S | H_2 | NO_2 name | nitric acid | mixed sulfur | sulfuric acid | hydrogen | nitrogen dioxide IUPAC name | nitric acid | sulfur | sulfuric acid | molecular hydrogen | Nitrogen dioxide
| nitric acid | mixed sulfur | sulfuric acid | hydrogen | nitrogen dioxide formula | HNO_3 | S | H_2SO_4 | H_2 | NO_2 Hill formula | HNO_3 | S | H_2O_4S | H_2 | NO_2 name | nitric acid | mixed sulfur | sulfuric acid | hydrogen | nitrogen dioxide IUPAC name | nitric acid | sulfur | sulfuric acid | molecular hydrogen | Nitrogen dioxide

Substance properties

 | nitric acid | mixed sulfur | sulfuric acid | hydrogen | nitrogen dioxide molar mass | 63.012 g/mol | 32.06 g/mol | 98.07 g/mol | 2.016 g/mol | 46.005 g/mol phase | liquid (at STP) | solid (at STP) | liquid (at STP) | gas (at STP) | gas (at STP) melting point | -41.6 °C | 112.8 °C | 10.371 °C | -259.2 °C | -11 °C boiling point | 83 °C | 444.7 °C | 279.6 °C | -252.8 °C | 21 °C density | 1.5129 g/cm^3 | 2.07 g/cm^3 | 1.8305 g/cm^3 | 8.99×10^-5 g/cm^3 (at 0 °C) | 0.00188 g/cm^3 (at 25 °C) solubility in water | miscible | | very soluble | | reacts surface tension | | | 0.0735 N/m | |  dynamic viscosity | 7.6×10^-4 Pa s (at 25 °C) | | 0.021 Pa s (at 25 °C) | 8.9×10^-6 Pa s (at 25 °C) | 4.02×10^-4 Pa s (at 25 °C) odor | | | odorless | odorless |
| nitric acid | mixed sulfur | sulfuric acid | hydrogen | nitrogen dioxide molar mass | 63.012 g/mol | 32.06 g/mol | 98.07 g/mol | 2.016 g/mol | 46.005 g/mol phase | liquid (at STP) | solid (at STP) | liquid (at STP) | gas (at STP) | gas (at STP) melting point | -41.6 °C | 112.8 °C | 10.371 °C | -259.2 °C | -11 °C boiling point | 83 °C | 444.7 °C | 279.6 °C | -252.8 °C | 21 °C density | 1.5129 g/cm^3 | 2.07 g/cm^3 | 1.8305 g/cm^3 | 8.99×10^-5 g/cm^3 (at 0 °C) | 0.00188 g/cm^3 (at 25 °C) solubility in water | miscible | | very soluble | | reacts surface tension | | | 0.0735 N/m | | dynamic viscosity | 7.6×10^-4 Pa s (at 25 °C) | | 0.021 Pa s (at 25 °C) | 8.9×10^-6 Pa s (at 25 °C) | 4.02×10^-4 Pa s (at 25 °C) odor | | | odorless | odorless |

Units