Thermodynamics

Uderstanding Thermodynamics:Laws,Concepts and Applications for JEE,NEET,B.Sc Physics

Introduction:

We know that matter is made up of atoms or molecules and it may be in any one of its three States: solid, liquid and gas. whatever be the state of the matter, its properties are determine by the force acting between its constituent particles.

In kinetics theory we discuss the properties of the gases on the basis of interparticle force. In this method we consider the position and velocity of each particle of the system and the force acting between them. Thus the method is known as “microscopic method of approach”.

There is another method, where we do not think about the atom or molecules, but we consider a matter in bulk. To study these properties of the system it is sufficient to know only a few properties of the system, such as pressure, temperature, Volume ete. This method is known as macroscopic method of approach. All properties of matter related to temperature can be studied in this way. This forms the subject matter of thermodynamics.

System and its Surroundings:

• Any portion of matter which is considered as separated from its surroundings is called a ‘system’.

• All those things which are outside that system and influence its behaviour are known as the ‘surroundings’ of the system.

Example:

Let a gas be filled in a cylinder fitted with a piston and heated by a burner. Here the ‘gas is the system’; while the ‘piston and burner are the surroundings’.

system-and-surrounding

Thermodynamic system may be of three types:

Open system: It can exchange both energy and matter with the surrounding.

Closed system: It can exchange only energy (not matter) with the surroundings.

Isolated system: It can exchange neither energy nor matter with the surrounding.

Zeroth Law of Thermodynamics:

This fundamental law states that if two systems A and B are separately in thermal equilibrium with a third system C, then A and B are in thermal equilibrium with each other.

Suppose there are three systems A, B and C. Systems A and B are isolated from each other but are in thermal contact with C. Experiments show that both A and B individually attain thermal equilibrium with C. If now A and B are put in thermal contact of each other, no further change takes place. That is, A and B are found to be in thermal equilibrium with each other.

Zeroth-Law-of-Thermodynamics

Mechanical Equivalent of Heat:

Whenever mechanical work is transformed into heat, or heat into mechani-cal work, there is a constant ratio between the work and the amount of heat. This ratio is called “mechanical equivalent of heat and is denoted by J. Thus, if W be the amount of work done and the amount of heat produced, we have

W/Q = J

W = JQ

The value of J = 4.186 joule/calorie

It is clear from the definition of J that it is not a physical quantity. It is only a conversion factor used to convert energy from heat units (kilo-calorie or calorie) to mechanical unit and vice-versa.

Thermodynamic Equilibrium:

Mechanical Equilibrium: When there are no unbalanced forces between the system and its surroundings, the system is said to be in mechanical equilibrium.

 Chemical Equilibrium: If the system has no tendency to undergo a change in internal structure and also has no tendency to transfer matter from one part of the system to another, it is said to be in chemical equilibrium.

Thermal Equilibrium: If all parts of the system are at the same temperature which is equal to the temperature of the surroundings, the system is said to be in thermal equilibrium’.

֍ When the system is under all the three types of equilibrium, it is said to be in ‘thermodynamic equilibrium’. In this condition any change in the state of the system or of the surroundings would not occur.

֍ If he conditions for any one of the three types of equilibrium are not satisfied, the system is said to be in a ‘non-equilibrium state’.

Thermodynamic coordinates:

The state of a thermodynamic system in equilibrium can be completely specified in terms of certain measurable (macroscopic) quantities. In the case of a gas, for example, these quantities are pressure P , volume V and temperature T. They are functions of the state of the system alone and return to the same values whenever the system returns to the same equilibrium state. They are known as ‘state functions’ or ‘state variables’ or ‘thermodynamic coordinates’ of the system.

Equation of State:

The equation of state of a thermodynamic system in at equilibrium is a functional relationship among the state variables of that system. Any two of the three variables p, V and T are enough to specify the state of a gas and to fix the value of the third variable.

֍  If the system is in a non-equilibrium state then this state cannot be described in terms of thermodynamic coordinates.

Work:

When a system undergoes a displacement under the action of a force, ‘work’ is said to be done. Its magnitude being equal to the product of the force and the component of the displacement parallel to the force.

Explanation:

suppose a hydrostatic system contained in a cylinder fitted with a movable piston on which both system & surrounding act. Let P be the instantaneous pressure of the gas while expanding against the piston. The force on the piston is PA, where A is the cross section of the piston(fig.1).The work done by the gas in displacing out the piston through an infinitesimal distance ds is

work done                            dw= pAds = pdv ; Where dv = Ads is the infinitesimal increase in the volume of the gas.

The total work done by the gas in expanding from initial Volume vi to the final Volume Vf would be

work done

 

 

The value of this integral can be obtained graphically by plotting the p-V curve of the gas. The nature of the curve depends upon the conditions under which the gas has expanded. One type of the curve is shown in figure-2.

P-V-diagram-of-work-done

It is clear that the integral is the area (shown shaded) under the p-V curve between the initial and final states. This area is, therefore, the measure of the work done by the gas.

Internal energy:

Internal energy of a system is defined as the total energy possessed by the system due to molecular motion and molecular configuration. It is represented by U.

Internal energy, U= UK + Up    where  Uk = Internal kinetic energy and Up =   Internal potential energy .

Heat:

It is the energy that exchanged between a system and its surrounding because of the temperature difference between them. SI unit of heat is joule.

The First Law of Thermodynamics:

The first law of thermodynamics is simply the principle of conservation of energy applied to a thermodynamic system.

first law of thermodynamics

 

 

 

 

Mathematically, the change in the internal energy of a system in passing from an initial state i to a final state f is

First Law of Thermodynamics

 

 

where Q is the amount of heat absorbed by the system and W the external work done by the system. This equation is taken as  mathematical form of the first law of thermodynamics.

Differential Form of The First Law of Thermodynamics:

If the system undergoes only an infinitesimal change in state absorbing an infinitesimal amount of heat dQ and doing an infinitesimal    amount of work dW, then the infinitesimal change in internal energy dU would be given by

dU=dQ-dW

or dQ=du+dw

This is the differential form of the first law of thermodynamics. (Q, U and W must all be expressed in the same unit).

Real-World Applications of Thermodynamics:

1.Refrigerators and Air Conditioners

• Work on the refrigeration cycle (reverse heat engine).

• Use evaporation and condensation to absorb and release heat.

2.Engines (Cars, Bikes, Trucks)

• Internal combustion engines follow the First Law (energy conversion) and Second Law (efficiency limits).

• Converts chemical energy→ mechanical work.

 3.Heat Pumps (Winter Heating Systems)

Transfer heat from cold environment to warm space – opposite of refrigerators.

4.Pressure Cookers

• Uses thermodynamics of pressure-temperature relation to cook food faster.

• Higher pressure increases boiling point of water.

Conclusion:

Thermodynamics is one of the most powerful branches of physics because it helps us understand how heat, energy, and work interact in nature and technology. From engines and refrigerators to stars and chemical reactions, every system follows the laws of thermodynamics. By learning the basic laws, concepts, and applications, students can build a strong foundation for advanced physics, engineering, and daily-life problem solving. A clear understanding of these principles not only boosts academic performance but also develops scientific thinking and reasoning skills.

FAQs on Thermodynamics (With Answers)

Q1.What is thermodynamics?

A1.Thermodynamics is a branch of physics that studies the relationship between heat, energy, and work. It explains how energy is transferred and transformed in physical systems.

Q2.What is an example of thermodynamics in real life?

A2.Running AC or refrigerator, cooking in a pressure cooker, car engines, and steam power plants are everyday examples of thermodynamics.

Q3.What is absolute zero?

A3.Absolute zero (0 K or -273.15°C) is the lowest possible temperature where molecular motion theoretically stops.

Q4.Why is thermodynamics important?

A4.It helps us understand engines, power plants, refrigeration, chemical reactions, biological systems, and almost every energy-related technology in modern life.

Heat and Thermodynamics

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kinematics

Kinematics: The Foundation of Motion in Physics

Introduction

Have you ever wondered how fast a car moves, how high a ball travels when thrown, or how long it takes for a rocket to reach space? All these questions can be answered through kinematics – the branch of physics that describes the motion of objects without worrying about the forces causing that motion.

Kinematics helps us understand how things move, whether in a straight line, along a curve, or through the air. From predicting where a football will land to planning spacecraft trajectories, kinematics is everywhere in our daily lives and scientific explorations.

In this article we shall study the kinematics of a ‘particle’, which is an object without extent and is treated as a point.

What is Kinematics?

Kinematics is the study of the motion of objects how their position changes with time – without considering why they move. It focuses on measurable quantities like displacement, velocity, acceleration, and time.

In simple terms:

‘Kinematics’ is concerned with a description of the motion (or trajectories) of objects, ignoring the forces producing the motion.

Dynamics’ is concerned with the forces associated with the motion and other properties of the moving objects.

For example, when a ball is thrown upward, kinematics helps calculate its maximum height and time of flight without worrying about the gravitational force acting on it.

Key Terms in Kinematics:

1.Distance

The total length of actual path traversed by the body between initial and final positions is called distance.

•It has no direction and is always positive.

distance

2.Displacement

The shortest distance between the initial and final positions of a moving object in a particular direction.

•Displacement of an object may be positive,negative, or zero, and it is indipendent of the path followed by the object.

Distance ≥ Magnitude of displacement 

displacement

Example: If a person walks 4m east and 3 m north, the displacement is 5 m (using the Pythagoras theorem).

 

2.Velocity

The rate at which displacement changes with time. It is a vector quantity, meaning it has both magnitude and direction.

•Formula:

V =  Displacement ÷ Time

3.Speed

The rate of change of distance (not displacement). It is a scalar quantity and has only magnitude.

4.Acceleration

The rate at which velocity changes with time.

•Formula:

a= (v-u)÷t  ,  where u = initial velocity, v = final velocity, t = time.

Equations of Motion

For uniform acceleration, three main equations describe the relationship between displacement (s), velocity (v), acceleration (a), and time (t):

  1.  v = u + at – Final velocity after time t.
  2. S = ut + ½ at² – Displacement after time t.
  3. v² = u² + 2 a s   –  Relation betweenvelocity and displacement. 

These equations are the backbone of solving motion problems-whether you’re analyzing a ball thrown upward or a car decelerating to stop. 

Example:

A car starts from rest and accelerates uniformly at 2,m/s² for 5 s. Find the final velocity and distance covered.

Given:     u=0 , a=2 m/s² , t= 5sec.

1. v = u + at = 0 +2×5=10 m/sec .

2. S = ut + ½ at²=0 + ½ ×2 × 25 =25 m

So, the car moves 25 meters in 5 seconds, reaching a speed of 10 m/s.

Types of Motion

1.Linear Motion

When an object moves in a straight line.in this type of motion the acceleration of the particle is either zero or arises from a change in the magnitude of the velocity.

      linear motiomExample: A car moving on a straight road.

2.Circular Motion

When an object moves around a circular path.

       circular motionExample: A satellite orbiting Earth.

3.Projectile Motion

When an object moves along a curved path under the influence of gravity.

       projectile motion Example: A ball thrown upward at an angle.

Applications of Kinematics

• Predicting the path of planets and satellites.

• Designing vehicles and roller coasters.

• Studying sports movements (like a cricket ball’s trajectory).

• Navigation and robotics.

Summary

Kinematics is the heart of mechanics explaining how objects move through space and time. It lays the foundation for understanding complex physical phenomena, from the flight of a bird to the motion of celestial bodies.

By mastering kinematics, you gain the power to describe and predict motion – a vital skill for every physics learner. 

FAQs on Kinematics

Q1. What is kinematics in simple terms?

Kinematics is the study of how things move without explaining why they move.

Q2. What are the main quantities in kinematics?

Displacement, velocity, acceleration, and time.

Q3. What is the difference between kinematics and dynamics?

Kinematics describes motion; dynamics explains the forces behind it.

Q4. Where is kinematics used in real life?

In sports, vehicle design, space research, and everyday movement analysis

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"Timeline showing evolution of physics from ancient to modern science"

The Fascinating History of Physics :”From Ancient Myths to Modern science”

 

The fascinating history of physics – a journey through time, thought, and discovery – By Zamil

history of physics

Introduction: 

Physics is the foundation of all natural sciences it explains how the universe behaves, from the motion of planets to the movement of tiny particles. But this understanding didn’t appear overnight. The history of physics is a journey through human curiosity, brilliant minds, and revolutionary discoveries that changed the world forever.

1.Ancient Origins: When Philosophy Was Physics

The story of physics begins thousands of years ago with Greek philosophers like Aristotle, Thales, and Archimedes.

They asked questions such as:

globe, ink, rustic, still life, map, tusche indian ink, ancient, old, vintage, glass, light, table, wooden table, globe, globe, globe, globe, still life, map, map, map, map, map, ancient, ancient, ancient, old, vintage, vintage, vintage, vintage, light, table, table, table

  • What is motion?
  • Why do things fall?
  • What is the universe made of?

Although their theories were mostly based on observation rather than experiments, they laid the foundation for scientific thinking.

Archimedes’ principle of buoyancy and Aristotle’s ideas on motion influenced scientists for centuries.

Physics Beyond the West:

India: The vedas contained early ideas about energy and matter.

China: Early studies of magnetism and astronomy enriched global understanding.

Islamic Golden Age: Alhazen revolutionized optics and experimental methods.

 

2.The Scientific RevolutionThe Birth of Classical Physics

In the 16th and 17th centuries, the world witnessed a massive transformation in science known as the Scientific Revolution.

Key figures included:

  • Nicolaus Copernicus:– Proposed that the Earth orbits the Sun.Orbital motion of earth
  • Galileo Galilei– Used experiments and telescopes to prove that science should be based on observation.   
  • Isaac Newton – United motion and gravity in his Laws of Motion and Law of Universal Gravitation.Newton’s Principia Mathematica (1687) is considered one of the greatest works in science. His ideas ruled physics for over 200 years.

3. The Rise of modern Physics:

◊The 19th Century :

The 1800s saw physics expanding into new areas like electricity, magnetism, and thermodynamics.

Important discoveries included:

  • Michael Faraday – Discovered electromagnetic induction.
  • James Clerk Maxwell – Unified electricity and magnetism in Maxwell’s equations.
  • Lord Kelvin and Rudolf Clausius Developed the law thermodynamics.

This period showed that energy can take many forms – heat, light, and electricity but the total energy always remains constant.

◊Albert Einstein and Relativity: 

  • Albert Einstein introduced Special and General Relativity, explaining time, space, and gravity in a completely new way.
  • It change our view  about time and space.
  • Special Theory of Relativity- also suggest that time is not absolute.

◊The history of Quantum Revolution: 

  • Max Planck, Niels Bohr, and Werner Heisenberg developed Quantum Mechanics, revealing the strange behaviours of atoms and subatomic particles.
  • Dual nature of light and particles.

4.Contemporary physics:

◊Particle Physics & Standard Model:

• Discovery of fundamental particles like Lepton, Baryon, meson and Quarks .

• Projects like the Large Hadron Collider (LHC) continue to push the boundaries of what we know.

◊Astrophysics & Cosmology:

• Today’s physicists are exploring quantum fields, dark matter, Big Bang and string theory.

5. The Future of Physics 

• Quantum computing, unified theories, and space exploration.

• The link between physics and technology.

   “The important thing is not to stop questioning.” —  Albert Einstein

6. Conclusion:

The history of physics is a story of human imagination, observation, and experimentation. From Aristotle to Einstein, and beyond, every discovery has brought us closer to understanding the universe. Physics is not just a subject – it’s the timeless journey of humankind’s search for truth.

“want to learn more ? Explore our next article on Classical Mechanics simplified.”

 7. FAQ Section:

Q1: What are the main stages in the evolution of physics?
A1: Ancient natural philosophy→Classicalphysics →Modern physics →Contemporary physics.
Q2: Who started modern physics?
A2: Albert Einstein and Max Planck are often credited for starting modern physics through relativity and quantum theory.
Q3: Why is studying the history of physics important?
A3: It helps us appreciate how scientific thinking evolved and how past discoveries led to today’s technology.

8. SOURCES:

  • Britannica
  • wikipedia
  • Stanford Encyclopedia of philosophy.

 

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