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Ch.15 - Chemical Equilibrium
Chapter 15, Problem 41b

(b) What condition must be satisfied so that Qc = Kc?

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<Q_c> and <K_c> are both expressions that describe the ratio of the concentrations of products to reactants for a given chemical reaction.
The reaction quotient, <Q_c>, is calculated using the concentrations of the reactants and products at any point in time, not necessarily at equilibrium.
The equilibrium constant, <K_c>, is calculated using the concentrations of the reactants and products at equilibrium.
For <Q_c> to equal <K_c>, the system must be at equilibrium, meaning the concentrations of reactants and products have reached a state where they no longer change with time.
Therefore, the condition that must be satisfied for <Q_c> = <K_c> is that the reaction mixture is at equilibrium.

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Key Concepts

Here are the essential concepts you must grasp in order to answer the question correctly.

Reaction Quotient (Q<sub>c</sub>)

The reaction quotient, Q<sub>c</sub>, is a measure of the relative concentrations of products and reactants at any point in a chemical reaction. It is calculated using the same expression as the equilibrium constant but with the current concentrations. Q<sub>c</sub> helps determine the direction in which a reaction will proceed to reach equilibrium.
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Equilibrium Constant (K<sub>c</sub>)

The equilibrium constant, K<sub>c</sub>, is a value that expresses the ratio of the concentrations of products to reactants at equilibrium for a reversible reaction at a given temperature. It is a fixed value for a specific reaction under specific conditions, indicating the extent to which reactants are converted into products at equilibrium.
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Dynamic Equilibrium

Dynamic equilibrium occurs in a reversible reaction when the rates of the forward and reverse reactions are equal, resulting in constant concentrations of reactants and products. At this point, Q<sub>c</sub> equals K<sub>c</sub>, indicating that the system is balanced and no net change occurs. This condition is essential for understanding when a reaction has reached equilibrium.
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