Cheat sheet · JEE Preparation Physics
Kinetic Theory cheat sheet
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JEE · Physics
Cheat sheet
Class 11 · Chapter 12Kinetic Theory
Each degree of freedom gets ½kT of energy.
1. Gas Laws
- Boyle: PV const (T fixed).
- Charles: V ∝ T (P fixed).
- Avogadro: equal volumes hold equal molecules at same T, P.
- Dalton: P = P₁ + P₂ + …
2. Pressure & Speeds
per molecule
3. Equipartition of Energy
| Gas | Degrees of freedom | Cv | γ = Cp/Cv |
|---|---|---|---|
| Monatomic | 3 | 5/3 | |
| Diatomic (rigid) | 5 | 7/5 | |
| Polyatomic (non-linear) | 6 | 4/3 |
4. Mean Free Path
n = number density, d = molecular diameter.
5. Key Points
- Real gases behave ideally at low P, high T.
- v_rms ∝ √T and ∝ 1/√M.
- k_B = R/N_A = 1.38 × 10⁻²³ J/K.
- Temperature measures average KE.
Remember: PV = μRT | v_rms = √(3RT/M) | ½kT per degree of freedom
Kinetic Theory: questions and notes
More JEE Preparation Physics cheat sheets
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- Gravitation
- Mechanical Properties of Solids
- Mechanical Properties of Fluids
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- Thermodynamics
- Kinetic Theory
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- Waves
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