The diagram shown here represents the equilibrium state for...

The diagram shown here represents the equilibrium state for the reaction $\mathrm{A}_{2}(g)+2 \mathrm{~B}(g) \rightleftharpoons 2 \mathrm{AB}(g)$. (a) Assuming the vol- ume is $2 \mathrm{~L},$ calculate the equilibrium constant $K_{c}$ for the reaction. (b) If the volume of the equilibrium mixture is decreased, will the number of AB molecules increase or decrease?

The diagram shown here represents the equilibrium state for the reaction $\mathrm{A}_{2}(g)+2 \mathrm{~B}(g) \rightleftharpoons 2 \mathrm{AB}(g)$. (a) Assuming the vol-
ume is $2 \mathrm{~L},$ calculate the equilibrium constant $K_{c}$ for the reaction.
(b) If the volume of the equilibrium mixture is decreased, will the number of AB molecules increase or decrease?

Key Concepts

Equilibrium Constant (Kc)

The equilibrium constant, Kc, is a numerical value that expresses the ratio of the concentrations of the products to the concentrations of the reactants at equilibrium, with each concentration raised to the power of its stoichiometric coefficient. It is a fundamental concept in chemical equilibrium, providing insight into the position of the equilibrium and the favorability of either the products or reactants under a given set of conditions, depending solely on temperature for a given reaction.

Reaction Stoichiometry

Reaction stoichiometry involves the quantitative relationships between reactants and products as dictated by the balanced chemical equation. It is crucial for setting up the expression for the equilibrium constant as well as for determining changes in concentration during a reaction. Understanding stoichiometric coefficients enables one to correctly account for the changes in molar amounts of each species when the reaction shifts between reactants and products.

Le Chatelier's Principle

Le Chatelier's Principle is a fundamental concept that predicts how a system at equilibrium will respond to external changes such as concentration, pressure, or temperature alterations. When the volume of a gaseous equilibrium system is decreased, leading to an increase in pressure, the principle indicates that the equilibrium will shift in the direction that reduces the number of gas molecules, thereby alleviating the pressure change. This concept is essential for identifying how shifts in equilibrium composition occur under varying physical conditions.

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