The reaction A+2 B ⇌2 C+D was studied using an initial...

The reaction $\mathrm{A}+2 \mathrm{~B} \rightleftharpoons 2 \mathrm{C}+\mathrm{D}$ was studied using an initial concentration of $\mathrm{B}$ which was $1.5$ times that of A. But equilibrium concentrations of $\mathrm{A}$ and $\mathrm{C}$ were found to be equal. Then, the $\mathrm{K}_{\mathrm{c}}$ for the equilibrium is (1) 4 (2) 8 (3) 6 (4) $0.332$

The reaction $\mathrm{A}+2 \mathrm{~B} \rightleftharpoons 2 \mathrm{C}+\mathrm{D}$ was studied using
an initial concentration of $\mathrm{B}$ which was $1.5$ times that of A. But equilibrium concentrations of $\mathrm{A}$ and $\mathrm{C}$ were found to be equal. Then, the $\mathrm{K}_{\mathrm{c}}$ for the equilibrium is
(1) 4
(2) 8
(3) 6
(4) $0.332$

Key Concepts

Chemical Equilibrium

Chemical equilibrium refers to the state in a reversible reaction where the rates of the forward and reverse reactions are equal, resulting in constant concentrations of reactants and products over time. This concept is fundamental in understanding how systems adjust to maintain balance under given conditions.

Equilibrium Constant (Kc)

The equilibrium constant, denoted as Kc for reactions in solution, is a numerical value that expresses the ratio of the concentrations of products to reactants at equilibrium, each raised to the power of their stoichiometric coefficients. It provides insight into the position of equilibrium and how far a reaction proceeds before reaching equilibrium.

ICE Table Method

The ICE table (Initial, Change, Equilibrium) is a systematic tool used to organize the initial concentrations, the changes that occur as the system moves towards equilibrium, and the final equilibrium concentrations. This method is crucial when solving equilibrium problems that involve unknown variables and stoichiometric relationships.

Stoichiometry

Stoichiometry involves the quantitative relationships between reactants and products as determined by a balanced chemical equation. It is essential for calculating the changes in concentrations during a reaction, which in turn allows for the determination of the equilibrium constant and understanding how initial reactant ratios affect the system.

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