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Kinetic Theory of Gases: One-Page Formula Sheet

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Last updated: 26 October 2026

Direct answer

The 4 formulas you need for Kinetic Theory of Gases, on one page.

For explanations and lectures, see the full topic page. Then test yourself with 6 JEE Main 2026 PYQs.

Formula sheet

Kinetic Theory of Gases formulas

Kinetic Theory of Gases — formula sheet

Formulas

  • P = ⅓ρv_rms²
  • v_rms = √(3RT/M), v_avg = √(8RT/πM), v_mp = √(2RT/M)
  • Cᵥ = fR/2, γ = 1 + 2/f
  • Mean free path λ = 1 / (√2 π d² n)

Key ideas

  • Pressure comes from molecular collisions with walls
  • Average KE per molecule = (3/2)kT
  • Each degree of freedom gets ½kT
  • Monatomic f = 3, diatomic f = 5 (at room temperature)

Traps to avoid

  • Using molar mass in g instead of kg in v_rms
  • Taking f = 5 for monatomic gases
  • Mixing up the order v_rms > v_avg > v_mp

jeevisionary.in/jee-topics/physics/kinetic-theory/

FAQs

Frequently asked questions

Where can I get a Kinetic Theory of Gases formula sheet PDF for free?

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How should I use a formula sheet?

Read it once a day for a week, then cover it and write the formulas from memory. Revise only the ones you missed.

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