At a certain temperature the equilibrium constant Kc is 0.25...

At a certain temperature the equilibrium constant $K_{c}$ is $0.25$ for the reaction $$ A_{2}(g)+B_{2}(g) \rightleftharpoons C_{2}(g)+D_{2}(g) $$ If we take 1 mole of each of the four gases in a 10 litre container, what would be equilibrium concentration of $A_{2}(g) ?$ (a) $0.331 \mathrm{M}$ (b) $0.033 M$ (c) $0.133 \mathrm{M}$ (d) $1.33 \mathrm{M}$

At a certain temperature the equilibrium constant $K_{c}$ is $0.25$ for the reaction
$$
A_{2}(g)+B_{2}(g) \rightleftharpoons C_{2}(g)+D_{2}(g)
$$
If we take 1 mole of each of the four gases in a 10 litre container, what would be equilibrium concentration of $A_{2}(g) ?$
(a) $0.331 \mathrm{M}$
(b) $0.033 M$
(c) $0.133 \mathrm{M}$
(d) $1.33 \mathrm{M}$

Key Concepts

Chemical Equilibrium

Chemical equilibrium refers to the state in a reversible chemical reaction where the rates of the forward and reverse reactions are equal, leading to constant concentrations of all reactants and products over time. This concept is fundamental in understanding how systems resist changes in conditions and how reaction extents are quantified via equilibrium constants.

Equilibrium Constant Expression

The equilibrium constant (Kc) is defined as the ratio of the concentrations of the products raised to the power of their stoichiometric coefficients to the concentrations of the reactants raised to the power of their stoichiometric coefficients at equilibrium. It provides a quantitative measure of the position of equilibrium in a chemical reaction.

ICE Table Method

The ICE (Initial, Change, Equilibrium) table is a systematic tool used to organize and track the concentrations of reactants and products in a reaction as it approaches equilibrium. By setting up initial concentrations, defining the changes that occur as the reaction proceeds, and expressing equilibrium concentrations, one can use the equilibrium constant to solve for unknown values.

Stoichiometry

Stoichiometry involves the quantitative relationships between reactants and products as dictated by the balanced chemical equation. It is essential in equilibrium problems to relate the changes in concentration for different species by using a variable that represents the shift in reaction position, allowing the calculation of unknown concentrations.

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