Kinetic Theory
9 lessons
Topic index in NCERT order
9 of 9 lessons by the NCERT chapter they teach from, in book order. The page is the first printed page of your NCERT book the lesson cites; PYQs are the past NEET questions on that topic.
Class 11 Physics, Chapter 12
- Avogadro Numberp. 2461 PYQ
- Equation of State Perfect Gasp. 2471 PYQ
- Kinetic Theory Assumptionsp. 2480 PYQs
- Concept of Pressure Kinetic Theoryp. 2500 PYQs
- Degrees of Freedomp. 2521 PYQ
- Equipartition Energyp. 2521 PYQ
- Mean Free Pathp. 2552 PYQs
- Kinetic Interpretation Temperaturep. 2560 PYQs
- RMS Speed Gasp. 2561 PYQ
Avogadro Number
Concept of Pressure Kinetic Theory
Degrees of Freedom
Equation of State Perfect Gas
Equipartition Energy
Kinetic Interpretation Temperature
Kinetic Theory Assumptions
Mean Free Path
RMS Speed Gas
Past-paper questions from this unit
7 questions from NEET 2020, 2022, 2023, 2025, 2026. Answers verified against NTA official keys.
By year in our set: 2020 (2) · 2022 (1) · 2023 (1) · 2025 (1) · 2026 (2)
Lesson: Mean Free Path
Lesson: Degrees of Freedom
Lesson: Equation of State Perfect Gas
Lesson: RMS Speed Gas
Lesson: Avogadro Number
Lesson: Equipartition Energy
Lesson: Mean Free Path
The mean free path for a gas, with molecular diameter d and number density n can be expressed as :
Exam traps and common mistakes in this unit
Lesson: RMS Speed Gas
Category: Similar Terms
Student treats v_rms ∝ T instead of √T. Doubling T does NOT double v_rms; it multiplies by √2.
When it triggers
Question asks for new v_rms after T change.
How to avoid
v_rms = √(3RT/M). v_rms ∝ √T. To double v_rms, T must quadruple.
Lesson: RMS Speed Gas
Root cause: formula misuse
Correction
v_rms = √(3RT/M), so v_rms ∝ √T. To double v_rms, T must quadruple (factor of 4). Common error: assume doubling T doubles v_rms.
Formulas in this unit
Lesson: Degrees of Freedom
Cv from degrees of freedom
Each quadratic DoF contributes (1/2)R to molar Cv. Mono: f=3, Cv=3R/2; di-rigid: f=5, Cv=5R/2; poly-rigid: f=6, Cv=3R.
| Symbol | Quantity | SI Unit |
|---|---|---|
| Cv | molar specific heat | J/mol/K |
| f | degrees of freedom | - |
| R | gas constant | J/mol/K |
Valid when
- Equipartition holds (temperature high enough)
- Quadratic energy modes
Lesson: Equation of State Perfect Gas
Ideal gas equation
Fundamental equation of state of ideal gas relating pressure, volume, temperature.
| Symbol | Quantity | SI Unit |
|---|---|---|
| P | pressure | Pa |
| V | volume | m^3 |
| n | moles | mol |
| R | 8.314 | J/mol/K |
| N | molecule count | - |
| k | Boltzmann 1.38e-23 | J/K |
| T | temp | K |
Valid when
- Gas obeys ideal gas approximation (low pressure, high temperature relative to phase transitions)
Lesson: Equipartition Energy
Average translational KE per molecule
Microscopic interpretation of temperature: T is direct measure of average translational kinetic energy.
| Symbol | Quantity | SI Unit |
|---|---|---|
| k | Boltzmann constant | J/K |
| T | absolute temperature | K |
Valid when
- Translational degrees of freedom only
- Ideal gas
Lesson: Kinetic Interpretation Temperature
RMS speed of gas molecules
Root-mean-square molecular speed; depends on T and molar mass M (or molecular mass m).
| Symbol | Quantity | SI Unit |
|---|---|---|
| R | gas constant | J/mol/K |
| T | temp | K |
| M | molar mass | kg/mol |
| k | Boltzmann | J/K |
| m | molecular mass | kg |
Valid when
- Ideal gas
- Maxwell-Boltzmann distribution
Lesson: Mean Free Path
Mean free path of gas molecule
Average distance between successive molecular collisions.
| Symbol | Quantity | SI Unit |
|---|---|---|
| lambda | mean free path | m |
| n | number density | 1/m^3 |
| d | molecular diameter | m |
Valid when
- Hard-sphere model
- Equilibrium gas
NEET question patterns in this unit
Lesson: Equation of State Perfect Gas
PV = nRT. Given two of (P, V, T, n) and changes, find missing.
Common distractors
forgets temperature conversion
Mixes °C with K
Lesson: Equipartition Energy
Average translational KE per molecule = (3/2)kT (monoatomic). Total via DoF.
Common distractors
uses 3 2 RT not 3 2 kT
Confuses per-mole RT with per-molecule kT
Lesson: Mean Free Path
Mean free path scaling with n, d. lambda = 1/(sqrt(2)*pi*n*d^2).
Common distractors
ignores d squared
Treats d linearly
Lesson: RMS Speed Gas
Find new T given v_rms scales by factor k. v_rms ∝ sqrt(T), so T_new = T*k^2.
Common distractors
uses linear scaling
Treats v_rms ∝ T not sqrt(T)
Questions about this unit
- What does Kinetic Theory cover for NEET Physics?
- 9 lessons: Avogadro Number, Concept of Pressure Kinetic Theory, Degrees of Freedom, Equation of State Perfect Gas, Equipartition Energy, Kinetic Interpretation Temperature, Kinetic Theory Assumptions, Mean Free Path and RMS Speed Gas.
- How often has Kinetic Theory come up in NEET past papers?
- Our set of verified past papers has 7 questions from this unit, from NEET 2020, 2022, 2023, 2025 and 2026. Each is answered against the official NTA key.
- Is the Kinetic Theory material free?
- Yes. All 9 lessons and 72 practice questions are free, with no login needed.