Kinetic Theory gases ko molecular level par explain karti hai — pressure, rms speed aur degrees of freedom ke formulas yahan hain. Yahan aapko is chapter ke sabse important formulas aur quick revision points free milte hain — NCERT/CBSE syllabus ke hisaab se, boards aur JEE/NEET dono ke liye.
Important Formulas & Concepts — Kinetic Theory
- PV = nRT = NkT
- P = (1/3)ρv²_rms
- v_rms = √(3RT/M); v_avg = √(8RT/πM); v_mp = √(2RT/M)
- v_mp < v_avg < v_rms
- KE per molecule = (3/2)kT; per mole = (3/2)RT
- Degrees of freedom: mono 3, diatomic 5, triatomic non-linear 6
- Equipartition: energy per DOF = ½kT; U = (f/2)nRT
- γ = 1 + 2/f; diatomic: Cv = (5/2)R, γ = 7/5
Quick Revision Points
- Temperature molecular KE ka measure hai
- Mean free path λ = 1/(√2·πd²n)
- Same T par halki gas ke molecules tez chalte hain
- Diatomic gas ke liye γ = 1.4 — numericals mein common
- Formula-based direct questions — easy marks
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FAQ
Ye chapter chhota hai, skip kar sakte hain?
Bilkul nahi — formula-based direct questions aate hain, easy marks hain.
γ values yaad karne ka trick?
PDF mein DOF-based ek hi table se saari γ values nikal sakte ho.
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