Given the following equation, N2O(g) + NO2(g) → 3 NO(g) ΔG°rxn = -23.0 kJ

Calculate ΔG°rxn for the following reaction.
3N2O(g) + 3NO2(g) → 9 NO(g)

Respuesta :

Answer:

ΔG°rxn = -69.0 kJ

Explanation:

Let's consider the following thermochemical equation.

N₂O(g) + NO₂(g) → 3 NO(g) ΔG°rxn = -23.0 kJ

Since ΔG°rxn < 0, this reaction is exergonic, that is, 23.0 kJ of energy are released. The Gibbs free energy is an extensive property, meaning that it depends on the amount of matter. Then, if we multiply the amount of matter by 3 (by multiplying the stoichiometric coefficients by 3), the ΔG°rxn will also be tripled.

3 N₂O(g) + 3 NO₂(g) → 9 NO(g) ΔG°rxn = -69.0 kJ

Given the following equation, N2O(g) + NO2(g) → 3 NO(g) ΔG°rxn = -23.0 kJ

The  ΔG°rxn for the following reaction 3N2O(g) + 3NO2(g) → 9 NO(g) = 69 kJ

From the information given:

[tex]\mathbf{N_2O_{(g)} + NO_{2(g)} \to 3 NO_{(g)} \ \ \ \Delta G^0_{rxn}=-23.0 \ kJ}[/tex]

To determine the [tex]\mathbf{ \Delta G^0_{rxn}}[/tex] for the reaction [tex]\mathbf{3N_2O_{(g)} +3NO_{2(g)} \to 9 NO_{(g)}}[/tex], we need to reverse the [tex]\mathbf{ \Delta G^0_{rxn}}[/tex] of the following reaction given

So;

[tex]\mathbf{ 9 NO_{(g)} \to 3N_2O_{(g)} +3NO_{2(g)} \ \ \ \ \ \Delta G = ??? }[/tex]

Since we can get three times the moles of the given reaction in the following  reaction, then:

The   [tex]\mathbf{ \Delta G^0_{rxn}}[/tex]  for the following  reaction = (23 × 3) kJ

The [tex]\mathbf{ \Delta G^0_{rxn}}[/tex] for the following  reaction is = 69 kJ

Learn more about the change in the free energy ΔG°rxn here:

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