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NO2 + O3 = O2 + N2O5

Input interpretation

nitrogen dioxide + ozone ⟶ oxygen + dinitrogen pentoxide
nitrogen dioxide + ozone ⟶ oxygen + dinitrogen pentoxide

Balanced equation

Balance the chemical equation algebraically: + ⟶ + Add stoichiometric coefficients, c_i, to the reactants and products: c_1 + c_2 ⟶ c_3 + c_4 Set the number of atoms in the reactants equal to the number of atoms in the products for N and O: N: | c_1 = 2 c_4 O: | 2 c_1 + 3 c_2 = 2 c_3 + 5 c_4 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_2 = 1 c_3 = 3/2 - c_1/4 c_4 = c_1/2 The resulting system of equations is still underdetermined, so an additional coefficient must be set arbitrarily. Set c_1 = 2 and solve for the remaining coefficients: c_1 = 2 c_2 = 1 c_3 = 1 c_4 = 1 Substitute the coefficients into the chemical reaction to obtain the balanced equation: Answer: | | 2 + ⟶ +
Balance the chemical equation algebraically: + ⟶ + Add stoichiometric coefficients, c_i, to the reactants and products: c_1 + c_2 ⟶ c_3 + c_4 Set the number of atoms in the reactants equal to the number of atoms in the products for N and O: N: | c_1 = 2 c_4 O: | 2 c_1 + 3 c_2 = 2 c_3 + 5 c_4 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_2 = 1 c_3 = 3/2 - c_1/4 c_4 = c_1/2 The resulting system of equations is still underdetermined, so an additional coefficient must be set arbitrarily. Set c_1 = 2 and solve for the remaining coefficients: c_1 = 2 c_2 = 1 c_3 = 1 c_4 = 1 Substitute the coefficients into the chemical reaction to obtain the balanced equation: Answer: | | 2 + ⟶ +

Structures

+ ⟶ +
+ ⟶ +

Names

nitrogen dioxide + ozone ⟶ oxygen + dinitrogen pentoxide
nitrogen dioxide + ozone ⟶ oxygen + dinitrogen pentoxide

Reaction thermodynamics

Enthalpy

| nitrogen dioxide | ozone | oxygen | dinitrogen pentoxide molecular enthalpy | 33.2 kJ/mol | 142.7 kJ/mol | 0 kJ/mol | -43.1 kJ/mol total enthalpy | 66.4 kJ/mol | 142.7 kJ/mol | 0 kJ/mol | -43.1 kJ/mol | H_initial = 209.1 kJ/mol | | H_final = -43.1 kJ/mol | ΔH_rxn^0 | -43.1 kJ/mol - 209.1 kJ/mol = -252.2 kJ/mol (exothermic) | | |
| nitrogen dioxide | ozone | oxygen | dinitrogen pentoxide molecular enthalpy | 33.2 kJ/mol | 142.7 kJ/mol | 0 kJ/mol | -43.1 kJ/mol total enthalpy | 66.4 kJ/mol | 142.7 kJ/mol | 0 kJ/mol | -43.1 kJ/mol | H_initial = 209.1 kJ/mol | | H_final = -43.1 kJ/mol | ΔH_rxn^0 | -43.1 kJ/mol - 209.1 kJ/mol = -252.2 kJ/mol (exothermic) | | |

Gibbs free energy

| nitrogen dioxide | ozone | oxygen | dinitrogen pentoxide molecular free energy | 51.3 kJ/mol | 163.2 kJ/mol | 231.7 kJ/mol | 113.9 kJ/mol total free energy | 102.6 kJ/mol | 163.2 kJ/mol | 231.7 kJ/mol | 113.9 kJ/mol | G_initial = 265.8 kJ/mol | | G_final = 345.6 kJ/mol | ΔG_rxn^0 | 345.6 kJ/mol - 265.8 kJ/mol = 79.8 kJ/mol (endergonic) | | |
| nitrogen dioxide | ozone | oxygen | dinitrogen pentoxide molecular free energy | 51.3 kJ/mol | 163.2 kJ/mol | 231.7 kJ/mol | 113.9 kJ/mol total free energy | 102.6 kJ/mol | 163.2 kJ/mol | 231.7 kJ/mol | 113.9 kJ/mol | G_initial = 265.8 kJ/mol | | G_final = 345.6 kJ/mol | ΔG_rxn^0 | 345.6 kJ/mol - 265.8 kJ/mol = 79.8 kJ/mol (endergonic) | | |

Entropy

| nitrogen dioxide | ozone | oxygen | dinitrogen pentoxide molecular entropy | 240 J/(mol K) | 239 J/(mol K) | 205 J/(mol K) | 178 J/(mol K) total entropy | 480 J/(mol K) | 239 J/(mol K) | 205 J/(mol K) | 178 J/(mol K) | S_initial = 719 J/(mol K) | | S_final = 383 J/(mol K) | ΔS_rxn^0 | 383 J/(mol K) - 719 J/(mol K) = -336 J/(mol K) (exoentropic) | | |
| nitrogen dioxide | ozone | oxygen | dinitrogen pentoxide molecular entropy | 240 J/(mol K) | 239 J/(mol K) | 205 J/(mol K) | 178 J/(mol K) total entropy | 480 J/(mol K) | 239 J/(mol K) | 205 J/(mol K) | 178 J/(mol K) | S_initial = 719 J/(mol K) | | S_final = 383 J/(mol K) | ΔS_rxn^0 | 383 J/(mol K) - 719 J/(mol K) = -336 J/(mol K) (exoentropic) | | |

Equilibrium constant

K_c = ([O2] [N2O5])/([NO2]^2 [O3])
K_c = ([O2] [N2O5])/([NO2]^2 [O3])

Rate of reaction

rate = -1/2 (Δ[NO2])/(Δt) = -(Δ[O3])/(Δt) = (Δ[O2])/(Δt) = (Δ[N2O5])/(Δt) (assuming constant volume and no accumulation of intermediates or side products)
rate = -1/2 (Δ[NO2])/(Δt) = -(Δ[O3])/(Δt) = (Δ[O2])/(Δt) = (Δ[N2O5])/(Δt) (assuming constant volume and no accumulation of intermediates or side products)

Chemical names and formulas

| nitrogen dioxide | ozone | oxygen | dinitrogen pentoxide Hill formula | NO_2 | O_3 | O_2 | N_2O_5 name | nitrogen dioxide | ozone | oxygen | dinitrogen pentoxide IUPAC name | Nitrogen dioxide | ozone | molecular oxygen | nitro nitrate
| nitrogen dioxide | ozone | oxygen | dinitrogen pentoxide Hill formula | NO_2 | O_3 | O_2 | N_2O_5 name | nitrogen dioxide | ozone | oxygen | dinitrogen pentoxide IUPAC name | Nitrogen dioxide | ozone | molecular oxygen | nitro nitrate

Substance properties

| nitrogen dioxide | ozone | oxygen | dinitrogen pentoxide molar mass | 46.005 g/mol | 47.997 g/mol | 31.998 g/mol | 108.01 g/mol phase | gas (at STP) | gas (at STP) | gas (at STP) | solid (at STP) melting point | -11 °C | -192.2 °C | -218 °C | 30 °C boiling point | 21 °C | -111.9 °C | -183 °C | 47 °C density | 0.00188 g/cm^3 (at 25 °C) | 0.001962 g/cm^3 (at 25 °C) | 0.001429 g/cm^3 (at 0 °C) | 2.05 g/cm^3 solubility in water | reacts | | | surface tension | | | 0.01347 N/m | dynamic viscosity | 4.02×10^-4 Pa s (at 25 °C) | | 2.055×10^-5 Pa s (at 25 °C) | odor | | | odorless |
| nitrogen dioxide | ozone | oxygen | dinitrogen pentoxide molar mass | 46.005 g/mol | 47.997 g/mol | 31.998 g/mol | 108.01 g/mol phase | gas (at STP) | gas (at STP) | gas (at STP) | solid (at STP) melting point | -11 °C | -192.2 °C | -218 °C | 30 °C boiling point | 21 °C | -111.9 °C | -183 °C | 47 °C density | 0.00188 g/cm^3 (at 25 °C) | 0.001962 g/cm^3 (at 25 °C) | 0.001429 g/cm^3 (at 0 °C) | 2.05 g/cm^3 solubility in water | reacts | | | surface tension | | | 0.01347 N/m | dynamic viscosity | 4.02×10^-4 Pa s (at 25 °C) | | 2.055×10^-5 Pa s (at 25 °C) | odor | | | odorless |

Units

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