One of the reactions that destroys ozone in the upper...

One of the reactions that destroys ozone in the upper atmosphere is
$$\mathrm{NO}(g)+\mathrm{O}_{3}(g) \rightleftharpoons \mathrm{NO}_{2}(g)+\mathrm{O}_{2}(g)$$
Using data from Appendix 4, calculate $\Delta G^{\circ}$ and $K$ (at $298 \mathrm{~K}$ ) for this reaction.

Key Concepts

Gibbs Free Energy

Gibbs free energy is a thermodynamic potential that measures the maximum amount of work obtainable from a process at constant temperature and pressure. The change in Gibbs free energy (?G°) under standard conditions indicates whether a reaction is spontaneous. It is calculated from the standard free energies of formation of the reactants and products and is a key factor in predicting reaction behavior.

Equilibrium Constant

The equilibrium constant (K) quantifies the relationship between product and reactant concentrations when a chemical reaction reaches equilibrium under specified conditions. The connection between thermodynamics and equilibrium is given by the relation ?G° = -RT lnK, which allows one to calculate K from ?G°. This relation is essential in understanding how reaction spontaneity influences the position of equilibrium.

Standard State Conditions

Standard state conditions provide a common reference for reporting and comparing thermodynamic data. They typically involve defining the state of pure substances (such as 1 bar or 1 atm pressure for gases and 1 M concentration for solutions) at a specific temperature (commonly 298 K). Using these reference conditions enables the calculation of standard changes in thermodynamic quantities like Gibbs free energy, making it possible to predict reaction behavior consistently.

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