Laws of Thermodynamics- Quick Exam Revision Short Notes
Thermodynamics is the branch of chemistry and physics (Physical chemistry) that studies heat, energy, temperature, and the way energy changes from one form to another.
These laws explain how energy behaves in physical and chemical systems. For exam preparation, understanding each law in simple language helps in solving theory and numerical questions quickly.
Introduction to Thermodynamics
The word thermodynamics comes from two Greek words:
- Thermo meaning heat
- Dynamics meaning power or movement.
A thermodynamic system may be:
- Open System: Exchanges both matter and energy with surroundings.
- Closed System: Exchanges only energy, not matter.
- Isolated System: Exchanges neither matter nor energy.
Scientists Behind Thermodynamics
Sadi Carnot (1824): Introduced early ideas of heat engines and efficiency.
Image By Louis-Léopold Boilly - James Prescott Joule (1840s): Proved mechanical equivalent of heat.
- Rudolf Clausius (1850): Formulated First and Second Law concepts.
- Lord Kelvin (William Thomson, 1851): Developed Second Law statement.
- Walther Nernst (1906): Proposed Third Law of Thermodynamics.
Zeroth Law of Thermodynamics
The Zeroth Law was formally stated by Ralph H. Fowler in 1931, although its concept existed earlier.
Statement:
If two systems are separately in thermal equilibrium with a third system, then they are also in thermal equilibrium with each other.
Meaning:
It defines temperature and explains why thermometers work.
Example:
If object A and object B both have the same temperature as thermometer C, then A and B have the same temperature.
First Law of Thermodynamics
The First Law was developed mainly by James Prescott Joule and mathematically expressed by Rudolf Clausius in 1850.
Statement:
Energy can neither be created nor destroyed; it can only change from one form to another.
Formula:
ΔU = Q − W
or
ΔE = Q − W
- ΔU = change in internal energy
- Q = heat supplied to system
- W = work done by system
Meaning:
When heat is given to a system, part increases internal energy and part may do work.
Example:
When gas is heated in a piston, gas expands and pushes piston upward. Heat energy becomes mechanical work.
Important Concept:
This law explains conservation of energy in all physical and chemical reactions.
Second Law of Thermodynamics
This law was proposed by Rudolf Clausius (1850) and Lord Kelvin (1851).
Statement:
Heat cannot flow naturally from a colder body to a hotter body without external work.
Another statement says: Entropy of an isolated system always increases.
Entropy (S):
Entropy is the measure of disorder or randomness in a system.
Meaning:
Natural processes move toward greater disorder.
Example:
Ice melts naturally in a warm room, but water does not freeze automatically without removing heat.
Important Concept:
No heat engine can be 100% efficient because some energy is always lost as heat.
Third Law of Thermodynamics
The Third Law was proposed by Walther Nernst in 1906.
Statement:
The entropy of a perfectly pure crystal at absolute zero temperature is zero.
Absolute Zero:
0 Kelvin (−273.15°C)
Meaning:
At absolute zero, molecular motion nearly stops.
Example:
A perfect crystal at 0 K has complete order and minimum entropy.
Important Concept:
Absolute zero cannot be reached practically.
Quick Comparison of All Laws
- Zeroth Law: Defines temperature and thermal equilibrium.
- First Law: Explains conservation of energy.
- Second Law: Explains direction of heat flow and entropy increase.
- Third Law: Explains entropy at absolute zero.
Easy Exam Memory Trick
- Zeroth: Temperature equality
- First: Energy conserved
- Second: Disorder increases
- Third: Entropy zero at 0 K
Why Thermodynamics Is Important
Thermodynamics is used in chemistry, engines, refrigerators, biological systems, power plants, and industrial processes. It helps explain why reactions occur, how heat transfers, and how energy is controlled.
Quick Revision Tip
For exams, always remember: scientist name + year + law statement + one example + key concept. This makes theory answers stronger and easier to recall.
Important Thermodynamics Formulas for M.Sc. Physical Chemistry Exam
Quick Revision Table: Name + Definition + Formula + Use in Exam
| Concept | Definition | Formula / Equation | What It Does / Use |
|---|---|---|---|
| First Law of Thermodynamics | Energy conservation in thermodynamic system | ΔU = q + w | Calculates internal energy change |
| PV Work | Work during volume change | w = -∫P dV | Used in gas expansion/compression |
| Reversible Isothermal Work | Maximum work by ideal gas | w = -nRT ln(V₂/V₁) | Important in derivations |
| Internal Energy Differential | Fundamental energy equation | dU = TdS - PdV | Base equation for deriving thermodynamic potentials |
| Enthalpy | Heat content at constant pressure | H = U + PV | Used in calorimetry |
| Enthalpy Differential | Natural variables S,P | dH = TdS + VdP | Used in pressure effects |
| Helmholtz Free Energy | Maximum useful work at constant T,V | A = U - TS | Predicts spontaneity at constant volume |
| Helmholtz Differential | Natural variables T,V | dA = -SdT - PdV | Used in Maxwell relations |
| Gibbs Free Energy | Maximum non-expansion work | G = H - TS | Most important spontaneity criterion |
| Gibbs Differential | Natural variables T,P | dG = VdP - SdT | Used in phase equilibrium |
| Spontaneity Criterion | Condition for spontaneous process | ΔG < 0 | Predicts spontaneous reaction |
| Entropy Change | Measure of disorder | dS = δqrev/T | Core second law equation |
| Entropy for Ideal Gas | Comment to Get full pdf | Fsc, Msc, BS | All formula sheet made especially For last minute revisions . |
Quick Exam Tip
- Remember 4 thermodynamic potentials together
- Memorize 4 Maxwell relations as one block
- Always connect Gibbs free energy with spontaneity
- Most long questions start from dU = TdS - PdV
Ultra-Fast Memory Trick
U → H → A → G
Add PV → subtract TS → reach Gibbs

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