Equilibrium - Notes, Topics, Formula, Books, FAQs

Equilibrium - Notes, Topics, Formula, Books, FAQs

Edited By Team Careers360 | Updated on Dec 20, 2024 12:33 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. Equilibrium is of two type chemical equilibrium and ionic equilibrium.

This Story also Contains
  1. Important Topics Of Chemical Equilibrium
  2. Applications of Equilibrium Constant:
  3. Factors affecting chemical equilibrium:
  4. Ionic Equilibrium in Solution
  5. Important Topics Of Ionic Equilibrium
  6. Overview Of Ionic Equilibrium
  7. Ionization of Acids and Bases
  8. Ionic Product of Water
  9. The pH Scale
  10. The relation between Ka and Kb
  11. Buffer Solutions
  12. How to prepare for Equilibrium?
Equilibrium - Notes, Topics, Formula, Books, FAQs
Equilibrium - Notes, Topics, Formula, Books, FAQs

Important Topics Of Chemical Equilibrium

Law Of Mass Action:

It states that “the rate at which a substance reacts is directly proportional to its activity and the rate at which substances react together is directly proportional to the product of their activity each raised to a power which is equal to the corresponding stoichiometric number is called Law Of Mass Action

Equilibrium Constant:

Equilibrium Constant is the ratio of the rate of forward and backward reaction at a particular temperature or it is the ratio of active masses of the reactants to that of active masses of products at a particular temperature raised to their stoichiometric coefficients.

Relation Between Kp And Kc:

The relationship between the concentrations or partial pressures of reactants and products in a chemical reaction at equilibrium is called Relation Between Kp And Kc.

Degree Of Dissociation:

Degree Of Dissociation is the extent to which any reactant gets dissociated. Due to dissociation, the total number of moles at equilibrium can be determined. Knowing the number of moles at equilibrium, the observed molar mass can be calculated.

Le Chatelier's Principles On Equilibrium:

It is defined as the ratio of the concentration of products to the concentration of the reacting species raised to their stoichiometric coefficient at any point of time other than the equilibrium stage is called Le Chatelier's Principles On Equilibrium.

Overview Of Chemical Equilibrium

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.

    human-body


  • 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.

    scuba diving

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EQUILIBRIUM IN PHYSICAL PROCESS

Some of the phase processes of equilibrium are as follows:

  • Solid-liquid equilibrium:
    For example, ice and water are at equilibrium at only one temperature is called a 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 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 a proportionate amount of 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 a homogeneous equilibrium

Heterogeneous Equilibria
When the reactants are in different phases, then this system of equilibrium is known as the heterogeneous equilibrium. 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 a 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.

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 weak electrolytes are those that are partially ionized in solutions and conduct smaller electricity. Acids, bases, and salts are either weak electrolytes or strong electrolytes. In the case of weak electrolytes, the equilibrium is established between the ions and non-ionized molecules.

Important Topics Of Ionic Equilibrium

Bronsted Lowry And Lewis Acid-base Theory:

According to Bronsted Lowry And Lewis Acid-base Theory, an acid is a substance that can donate a proton and a base is a substance that can accept a proton

Ionization Of Acids And Bases:

The process by which a neutral molecule breaks down into charged ions when exposed to a solution is known as compound ionization. When an acid dissociates into an aqueous medium to produce the hydrogen ion H+ and bases are the hydroxide compounds that give OH− ions on dissociation in water called Ionization Of Acids And Bases

Ka And Kb Relationship:

Ka and Kb are equilibrium constants that indicate the relative amounts of products and reactants at equilibrium.

Buffer Solution

A solution whose pH does not change very much when H+(H3O+) or OH- are added to it is referred to as a Buffer Solution.

Common Ion Effect:

The Common Ion Effect is defined as the phenomenon where the solubility of an ionic compound decreases in a solution that already contains one of the ions present in the compound.

PH Of Acids And Bases:

A solution having a PH between 0 to 7 is called an acid and a solution whose PH ranges in between 7 and above up to 14 is called a base and the pH in between 0 to 14 is called Ph Of Acids And Bases.

Solubility And Solubility Product:

The maximum amount of a particular solute in grams, which can dissolve in 100 grams of solvent at a given temperature is called Solubility And Solubility Product is the product of the molar concentrations of ions of an electrolyte in a saturated solution at a particular temperature.

Salt Hydrolysis:

When a salt is added to water ions of the salt interact with water to cause acidity or basicity in an aqueous solution. This ionic interaction is called Salt Hydrolysis.

Overview Of Ionic Equilibrium

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 a 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

ThePH Scale

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.

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, numerals 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 a 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's papers. Meanwhile, in the preparation, you must continuously write the mock tests for the depth of knowledge. Our platform will help you with a variety of questions for deeper knowledge with the help of videos, articles, and mock tests.

Also read,

Frequently Asked Questions (FAQs)

1. What are the different types of equilibrium?

There are several types of equilibrium, including:

  1. Static Equilibrium: Occurs when an object is at rest, and all forces acting on it balance out.
  2. Dynamic Equilibrium: Occurs when an object is in motion at a constant velocity, with net forces still equal to zero.
  3. Chemical Equilibrium: Refers to a reversible chemical reaction where the concentrations of reactants and products remain constant over time.
  4. Thermal Equilibrium: Describes the state where two objects in contact with each other reach the same temperature and no heat flows between them.
2. How is chemical equilibrium established?

 Chemical equilibrium is established when a reversible reaction occurs, and the rates of the forward and reverse reactions are equal. This can happen over time as reactants are converted to products and vice versa. The equilibrium state can be represented by the equilibrium constant (K), which quantifies the ratio of product concentrations to reactant concentrations at equilibrium at a given temperature.

3. What factors can affect chemical equilibrium?

Several factors can affect chemical equilibrium, including:

  1. Concentration: Changing the concentration of either reactants or products can shift the equilibrium position.
  2. Temperature: In endothermic reactions, increasing temperature shifts equilibrium to favor products, while in exothermic reactions, it favors reactants.
  3. Pressure: In reactions involving gases, increasing pressure will favor the side with fewer moles of gas.
  4. Catalysts: While catalysts speed up the rate at which equilibrium is reached, they do not affect the position of the equilibrium.
4. What is Le Chatelier's Principle?

Le Chatelier’s Principle states that if a dynamic equilibrium is disturbed by changing the conditions (such as concentration, temperature, or pressure), the system will respond by shifting the equilibrium position to counteract the change and restore a new equilibrium. For example, if the concentration of a reactant is increased, the system will shift to favor the formation of products.

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Hello Greetings

Chemical equilibrium can be a challenging chapter, but with some easy tips and practice, you'll become proficient in solving problems. Here are some tips to help you:


Understand the Basics

1. *Law of Mass Action*: Understand that the rate of a reaction is proportional to the product of the concentrations of the reactants.

2. *Equilibrium Constant (K)*: Know that K is a ratio of the concentrations of products to reactants at equilibrium.

3. *Types of Equilibria*: Familiarize yourself with homogeneous and heterogeneous equilibria.


Easy Tips for Solving Problems

1. *Read the Question Carefully*: Identify the type of problem, the given information, and what's being asked.

2. *Write Down the Equilibrium Equation*: Ensure you write the correct equation, including the equilibrium constant expression.

3. *Identify the Initial Concentrations*: Note the initial concentrations of reactants and products.

4. *Determine the Change in Concentrations*: Calculate the change in concentrations of reactants and products.

5. *Use the Equilibrium Constant Expression*: Plug in the values into the equilibrium constant expression to solve for the unknown.

6. *Check Your Units*: Ensure your units are consistent throughout the problem.

7. *Practice, Practice, Practice*: The more you practice, the more comfortable you'll become with solving equilibrium problems.


Online Resources

1. *Khan Academy*: Video lectures and practice problems on chemical equilibrium.

2. *MIT OpenCourseWare*: Free online resources, including lecture notes and practice problems.

3. *Chemguide*: A comprehensive online resource for chemistry, including equilibrium.


By following these tips and practicing regularly, you'll become more confident in solving chemical equilibrium problems.

Have a great day

Hello Greetings

Equilibrium can be a challenging chapter, especially with the numerous equations involved. Here are some easy tips to help you study and solve problems in this chapter:


Understanding Equilibrium Equations

1. *Start with the basics*: Begin by understanding the fundamental concepts of equilibrium, such as the law of conservation of momentum, Newton's laws of motion, and the concept of torque.

2. *Focus on key equations*: Identify the most important equations in the chapter, such as:

1. *First condition of equilibrium*: ΣF = 0 (net force equals zero)

2. *Second condition of equilibrium*: Στ = 0 (net torque equals zero)

3. *Equilibrium of a rigid body*: ΣF = 0 and Στ = 0

3. *Derive equations from scratch*: Try to derive the equations yourself, using the fundamental principles of physics. This will help you understand the equations better.

4. *Use diagrams and sketches*: Draw diagrams and sketches to visualize the problems. This will help you identify the forces and torques involved.


Solving Problems in Equilibrium

1. *Read the problem carefully*: Read the problem statement carefully, and identify the key elements, such as the forces, torques, and unknowns.

2. *Choose a coordinate system*: Choose a suitable coordinate system, and define the positive directions of the axes.

3. *Identify the forces and torques*: Identify all the forces and torques acting on the system, and label them clearly.

4. *Apply the equations*: Apply the relevant equations, such as the first and second conditions of equilibrium, to solve for the unknowns.

5. *Check your units*: Check that your units are consistent, and that you have used the correct units for the given quantities.

6. *Practice, practice, practice*: Practice solving problems regularly, starting with simple problems and gradually moving on to more complex ones.


Additional Tips

1. *Use online resources*: Utilize online resources, such as video lectures, tutorials, and practice problems, to supplement your learning.

2. *Join a study group*: Join a study group or discussion forum to collaborate with peers and get help with challenging problems.

3. *Review regularly*: Review the chapter regularly, even after you have completed it, to reinforce your understanding and prevent forgetting.


By following these tips, you should be able to better understand and solve problems in the equilibrium chapter. Good luck!

Have a great day

Hello! Greetings from Careers360!

To achieve equilibrium for the third charge q3 placed between two fixed point charges q1 and q2, we need to consider the forces acting on q3. The sign of q3 will indeed depend on the signs of q1 and q2.

1. If  q1and q2 have the same sign (both positive or both negative), q3 should have an opposite sign to either charge in order to experience attractive forces from both sides, balancing the net force to zero.

2. If q1 and q2 have opposite signs (one positive and one negative), q3 can have either sign, but for stability, placing q3 closer to the weaker charge (the one with the smaller magnitude) would generally help maintain equilibrium.

Therefore, the determination of the sign of q3 is crucial for achieving the desired equilibrium based on the configuration of the other charges. If you have any further questions or need assistance with related topics, feel free to ask!

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.

Correct Answer: MU = Price


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.

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