Calculate the value of the thermodynamic equilibrium...

Calculate the value of the thermodynamic equilibrium constant for the following reactions at $25^{\circ} \mathrm{C}$. (Refer to the data in Appendix C.) (a) $2 \mathrm{PCl}_{3}(g)+\mathrm{O}_{2}(g) \rightleftharpoons 2 \mathrm{POCl}_{3}(g)$ (b) $2 \mathrm{SO}_{3}(g) \rightleftharpoons 2 \mathrm{SO}_{2}(g)+\mathrm{O}_{2}(g)$

Calculate the value of the thermodynamic equilibrium constant for the following reactions at $25^{\circ} \mathrm{C}$. (Refer to the data in Appendix C.)
(a) $2 \mathrm{PCl}_{3}(g)+\mathrm{O}_{2}(g) \rightleftharpoons 2 \mathrm{POCl}_{3}(g)$
(b) $2 \mathrm{SO}_{3}(g) \rightleftharpoons 2 \mathrm{SO}_{2}(g)+\mathrm{O}_{2}(g)$

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Key Concepts

Thermodynamic Equilibrium Constant

This is a fundamental quantity that expresses the ratio of the concentrations (or partial pressures for gases) of products to reactants at equilibrium under a given set of conditions. It reflects the extent to which a reaction proceeds and indicates the position of the equilibrium.

Standard Gibbs Free Energy Change

The standard Gibbs free energy change, ?G°, is the difference in Gibbs free energy between products and reactants under standard conditions. It is a measure of the spontaneity of a reaction at a particular temperature and is closely related to the equilibrium constant.

Relationship Between ?G° and the Equilibrium Constant

The connection between the standard Gibbs free energy change and the thermodynamic equilibrium constant is given by the equation ?G° = -RT ln K. This equation allows one to calculate the equilibrium constant using thermodynamic data, linking the thermodynamic favorability of a reaction to its equilibrium state.

Equilibrium Constant Expression for Gaseous Reactions

For gas-phase reactions, the equilibrium constant is written in terms of the partial pressures of the reactants and products. The exponents in the expression correspond to the stoichiometric coefficients. This formulation is essential when applying thermodynamic data to reactions involving gases.

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