Equilibrium - Notes, Topics, Formula, Books, FAQs

# Equilibrium - Notes, Topics, Formula, Books, FAQs

Edited By Team Careers360 | Updated on May 06, 2022 12:54 PM IST

A state in which the rates of the forward and reverse reactions are equal and the concentrations of the reactants and products remain constant. Equilibrium is a dynamic process – the conversions of reactants to products and products to reactants are still going on, although there is no net change in the number of reactant and product molecules.

Take a reaction as follows:
$\mathrm{pP + qQ \rightleftharpoons rR + sS}$

Equilibrium Constant is given by the following equation:
$\mathrm{Kc\, =\, \frac{ [P]^{p}[Q]^{q}}{[R]^{r}[S]^{s}}}$

Chemical equilibrium occurs when both the reactions(forward and backward) are occurring at equal rates.

The chemical equilibrium and its laws have various real-life applications as mentioned below:

• Hemoglobin and oxygen exist in equilibrium in the blood by the reaction:
Hb(aq) + 4O2 Hb(O2)4(aq).
As a result, a person tends to feel light-headed at higher altitudes.

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• Nitrogen and other gases are dissolved in our blood, now if the diver comes up too fast from the deep ocean, suddenly there is an equilibrium shift takes place thus develops nitrogen bubbles in the blood which causes severe pain and death.

EQUILIBRIUM IN PHYSICAL PROCESS

Some of the phase processes of equilibrium are as follows:

• Solid-liquid equilibrium:
For example, ice and water are equilibrium at only one temperature is called NORMAL MELTING POINT.

• Liquid-gas equilibrium:
For example, rate of evaporation = rate of condensation
H2O(l) ? H2O(vap)

• Solid-gas equilibrium:
This process is also called as sublimation
e.g. sublimation of camphor

Solid-liquid equilibrium:
Law of mass action: The equilibrium concentrations of reactants and products may vary, but the value Kc remains constant.

Characteristics of Kc

1. The reaction equilibrium can be obtained from both directions.

2. Kc is a function of temperature.

3. Kc is independent of the initial concentration of reactants and products.

4. If the Kc value is

• << 1, the equilibrium lies to the right and the reaction mixture contains mostly products.

• 0.10<Kc<10, the mixture contains proportionate amount reactants and products.

• >> 1, the equilibrium lies to the left and the reaction mixture contains mostly reactants.

Homogeneous Equilibria
When all the reactants and the products in the equilibrium are in the same phase, then this equilibrium is known as homogeneous equilibrium. For example:
$\mathrm{N_{2}(g)\, +\, 3H_{2}(g)\rightleftharpoons 2NH_{3}(g)}$
In this reaction, all these reactants are in the gaseous phase, thus it is homogeneous equilibrium

Heterogeneous Equilibria
When the reactants are in different phases, then this system of equilibrium is known as the heterogeneous equilibria. For example,
$\mathrm{Ca(OH)_{2}(s)\,\rightleftharpoons Ca^{2+}(aq)\, +\, 2OH^{-}(aq)}$
In this reaction, all these reagents are in different phases, thus it is heterogeneous equilibrium.

## Applications of Equilibrium Constant:

• Predicts the extent of reaction, which gives the degree of the disappearance of reactants.
• Predicts the direction of the reaction.
• Calculating the equilibrium constant, which gives the relative amount of reactants and products.

Reaction Quotient (Q):
The reaction value obtained when we substitute reactant and product concentrations into the equilibrium expression.

1. If Q>K the reaction shifts towards the reactants side.

2. If Q<K the reaction shifts towards the products side.

3. If Q+K no shift occurs (equilibrium achieved).

## Factors affecting chemical equilibrium:

• Lechatlier ’s Principle: It states that changes in temperature, pressure, volume or concentration of a system will result in predictable and opposing changes in the system in order to achieve a new equilibrium state. It can be used to select the optimum conditions to form a substance.
• Changes in temperature:
Endothermic(H>0): R+ Heat Products.
Exothermic(h<0): R Products+ Heat
• Effect of catalyst:
The catalyst increases the rate of reaction for both forward and reverse reactions. The catalyst does not affect the equilibrium concentration of both reactants and products. So the value Kc doesn’t change.
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## Ionic Equilibrium in Solution

Ionic equilibrium is the study of equilibrium between the ions. All those substances that are converted into ions in solution are classified into categories i.e, strong electrolytes and weak electrolytes. Strong electrolytes are those that are completely dissociated into ions and conduct greater electricity, while the weak electrolytes are those that are partially ionized in solutions and conduct smaller electricity. Acids, bases, and salts are either the weak electrolytes or strong electrolytes. In the case of weak electrolytes, the equilibrium established between the ions and non-ionized molecules.

## Ionization of Acids and Bases

As already mentioned, some acids and bases are strong in nature and some are weak in nature. When a strong acid dissociates in the aqueous medium then it forms its conjugate base, these conjugate bases are always weak in nature. Similarly, with strong bases, their conjugate acids in solutions are always weak. For weak acids and bases, their conjugates bases and acids, respectively are always strong in nature.

The acid-base dissociation equilibrium of an acid HA is given as below:

$\mathrm{HA(aq)\, +\, H_{2}O\rightleftharpoons H_{3}O^{+}\, +\, A^{-}(aq)}$
an acid-base conjugate acid conjugate base

## Ionic Product of Water

In pure water, one water molecule donates a proton and acts as an acid and another water molecule accepts a proton and acts as a base. The equilibrium reaction goes as follows:

$\mathrm{H_{2}O(l)\, +\,H_{2}O(l)\rightleftharpoons H_{3}O^{+}(aq)\, +\, OH^{-}(aq) }$

The dissociation constant for this equilibrium reaction is given as follows:

$\mathrm{K\, =\, [H_{3}O^{+}][OH^{-}]\, /\, [H_{2}O] }$

$\mathrm{[H_{2}O] }$ can be eliminated since it is liquid, thus the ionic product of water or Kw is given as:
$\mathrm{K\, =\, [H_{3}O^{+}][OH^{-}]\,}$

After calculations, the value of Kw is equal to = 1 x 10-14M2

Thus any aqueous solution is acidic, basic or neutral is determined by the conditions below:

• For acidic: $\mathrm{[H_{3}O^{+}]>[OH^{-}]\,}$
• For neutral: $\mathrm{[H_{3}O^{+}]=[OH^{-}]\,}$
• For basic: $\mathrm{[H_{3}O^{+}]<[OH^{-}]\,}$

## The pH Scale

The hydronium ion concentration of any solution is expressed in logarithmic scale, then it is known as pH scale. Thus, the pH of any solution is defined as the negative logarithm value of hydrogen ion concentration. Mathematically, it can be expressed as follows:

$\mathrm{pH\, =\, -log\, a_{H^{+}}}$

Now as we know, the pure water has hydrogen ion concentration = 10-7, therefore, pH of water = 7
Thus we can conclude as follows:

• Acidic solution has pH < 7
• Basic solution has pH > 7
• Neutral solution has pH = 7

From the above calculations, it has been found that:
$\mathrm{pK_{w}\, =\,pH\, +\, pOH\, =\, 14}$

## The relation between Ka and Kb

Ka and Kb are the strengths of acidic and basic solutions respectively. Now, for every net reaction, the equilibrium constant is equal to the product of the added reactions.
Thus, Ka x Kb = Kw
Therefore, pKa + pKb = pKw = 14

## Buffer Solutions

These are the solutions that resist the change in pH if the solution is diluted or some small amounts of alkali or acid are added. For example, a mixture of acetic acid and sodium acetate is a buffer solution with pH equal to 4.75.

NCERT Exemplar Solutions Subject wise link:

## How to prepare for Equilibrium?

• This chapter is a part of Physical chemistry. This chapter is one of the most important chapters of the complete chemistry syllabus. Its concepts, laws, numerical and graphs all are important both for the basic foundation of chemistry and for scoring good marks in the examination.

• Before reading this chapter, first, you must have the basic knowledge of the mole concept.

• In this chapter, all the equations and formulae are very simple and easy to remember.

• Rest this chapter is very simple, just be regular and be consistent in your numerical practice.

Prescribed Books for Equilibrium

First, you must finish the class XI NCERT book and solve each and every example and unsolved question given in it. Then for advanced level preparation like JEE and NEET, you must follow R.C. Mukherjee and O.P. Tandon. You must definitely solve the previous year papers. Meanwhile, in the preparation, you must continuously write the mock tests for the depth of knowledge. Our platform will help you to provide with the variety of questions for deeper knowledge with the help of videos, articles and mock tests.

### Questions related to

Get answers from students and experts

Correct Answer: Resources are fully and efficiently utilized

Solution : The correct answer is (d) Resources are fully and efficiently utilized.

In case of an underemployment equilibrium, resources are not fully and efficiently utilized. This means that there is a level of output and employment in the economy that is below its potential. This occurs when aggregate demand is less than aggregate supply, resulting in excess production capacity.

In an underemployment equilibrium, there is slack in the economy, indicating that resources such as labor and capital are not being fully utilized. This can be seen as a gap between actual output and potential output.

Solution : Where the price of the product equals the marginal utility of that product, the consumer will be most satisfied. The consumer's equilibrium point is this state of maximum satisfaction.
Hence marginal utility will be equal to the price.

Solution : The correct answer is (a) Recessionary gap.

A recessionary gap occurs when the equilibrium level of output in an economy is below the potential level of output. When aggregate supply exceeds aggregate demand, it means that businesses are producing more goods and services than what is being demanded by consumers, investors, and the government.

A recessionary gap is characterized by high unemployment, reduced consumer spending, and sluggish economic growth. It is typically associated with a downward pressure on prices and wages as businesses try to adjust to the lower demand.

To close a recessionary gap and return the economy to its potential level of output, policies such as expansionary fiscal or monetary measures can be implemented to stimulate aggregate demand and encourage increased production and employment.

Correct Answer: increase in demand accompanied by a decrease in supply.

Solution : The correct option is an increase in demand accompanied by a decrease in supply.

When demand rises and supply falls, the commodity's equilibrium price increases. This is because a higher demand means consumers are willing to pay more at any price, pushing prices up. With reduced supply, fewer units are available for sale, which pushes the prices upward. Ultimately, increased demand and decreased supply together lead to a higher equilibrium price.