Question:

Consider the following hypothetical reaction. $A+B \rightleftharpoons C+D ; \,\,\,K_{c}=1 \times 10^{-4}$ Which of the following statements is true for this reaction ? In this reaction,

Updated On: Jun 20, 2022
  • products predominate
  • reactants predominate
  • equilibrium exists
  • nothing can be said
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The Correct Option is B

Solution and Explanation

For the given reaction, the value of $K_{c}$ is very low, ie, $10^{-4}$. If the value of $K_{c}$ is less than $10^{-3}$, no reaction takes place and reactants predominates over products. The same takes place in the given reaction.
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Concepts Used:

Law of Chemical Equilibrium

Law of Chemical Equilibrium states that at a constant temperature, the rate of a chemical reaction is directly proportional to the product of the molar concentrations of the reactants each raised to a power equal to the corresponding stoichiometric coefficients as represented by the balanced chemical equation.

Let us consider a general reversible reaction;

A+B ↔ C+D

After some time, there is a reduction in reactants A and B and an accumulation of the products C and D. As a result, the rate of the forward reaction decreases and that of backward reaction increases. 

Eventually, the two reactions occur at the same rate and a state of equilibrium is attained. 

By applying the Law of Mass Action;

The rate of forward reaction;

Rf = Kf [A]a [B]b

The rate of backward reaction;

Rb = Kb [C]c [D]d

Where,

[A], [B], [C] and [D] are the concentrations of A, B, C and D at equilibrium respectively.

a, b, c, and d are the stoichiometric coefficients of A, B, C and D respectively.

Kf and Kb­ are the rate constants of forward and backward reactions.

However, at equilibrium,

Rate of forward reaction = Rate of backward reaction.

Kc is called the equilibrium constant expressed in terms of molar concentrations.

The above equation is known as the equation of Law of Chemical Equilibrium.