Calculate a) ΔG^θ and b) the equilibrium constant for the formation of NO2 from NO and O2 at. 29

step 1 Calculate first del G and for B the equilibrium constant for the formation of NO2 from NO and O2

Calculate a) ΔG^θ and b) the equilibrium constant for the...

Calculate a) $\Delta G^{\theta}$ and b) the equilibrium constant for the formation of $\mathrm{NO}_{2}$ from $\mathrm{NO}$ and $\mathrm{O}_{2}$ at. $298 \mathrm{~K}$ $\mathrm{NO}(\mathrm{g})+1 / 2 \mathrm{O}_{2}(\mathrm{~g}) \rightleftharpoons \mathrm{NO}_{2}(\mathrm{~g})$ where $\Delta_{t} G^{\ominus}\left(\mathrm{NO}_{2}\right)=52.0 \mathrm{~kJ} / \mathrm{mol}$ $\Delta_{t} G^{\theta}(\mathrm{NO})=87.0 \mathrm{~kJ} / \mathrm{mol}$ $\Delta_{1} G^{\ominus}\left(\mathrm{O}_{2}\right)=0 \mathrm{~kJ} / \mathrm{mol}$

Calculate a) $\Delta G^{\theta}$ and b) the equilibrium constant for the formation of $\mathrm{NO}_{2}$ from $\mathrm{NO}$ and $\mathrm{O}_{2}$ at. $298 \mathrm{~K}$
$\mathrm{NO}(\mathrm{g})+1 / 2 \mathrm{O}_{2}(\mathrm{~g}) \rightleftharpoons \mathrm{NO}_{2}(\mathrm{~g})$
where $\Delta_{t} G^{\ominus}\left(\mathrm{NO}_{2}\right)=52.0 \mathrm{~kJ} / \mathrm{mol}$
$\Delta_{t} G^{\theta}(\mathrm{NO})=87.0 \mathrm{~kJ} / \mathrm{mol}$
$\Delta_{1} G^{\ominus}\left(\mathrm{O}_{2}\right)=0 \mathrm{~kJ} / \mathrm{mol}$

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Key Concepts

Standard Gibbs Free Energy

Standard Gibbs free energy (?G°) is a thermodynamic quantity that indicates the amount of reversible work obtainable from a system at constant temperature and pressure. It is used as a reference state for calculating the free energy change of reactions and is tabulated for individual substances in their standard states.

Reaction Gibbs Free Energy

The reaction Gibbs free energy (?G°_reaction) is determined by the difference between the sum of the standard Gibbs free energies of formation of the products and that of the reactants. This value indicates the spontaneity of the reaction under standard conditions and is calculated using the stoichiometric coefficients in the balanced chemical equation.

Equilibrium Constant

The equilibrium constant (K) quantifies the ratio of product concentrations to reactant concentrations at equilibrium. Its relationship with the reaction Gibbs free energy is provided by the equation ?G° = -RT ln K, where R is the gas constant and T is the absolute temperature. This relationship bridges thermodynamic favorability and the extent of reaction under standard conditions.

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