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Comprehensive Master Sheet: Kinetic Theory of Gases
Student Name: ____________________________________
Class: 11th (CBSE/NEET/JEE)
Subject: Physics
Section A: Kinetic Pressure & RMS Speed
1.
Derive kinetic pressure formula $P = \frac{1}{3}\rho v_{rms}^2$. Find $v_{rms}$ of oxygen gas molecules at $27^\circ\text{C}$ ($M = 32\text{ g/mol}$).
2.
At what temperature will $v_{rms}$ of hydrogen gas double its value at $0^\circ\text{C}$?
Section B: Degrees of Freedom & Specific Heats
3.
State Law of Equipartition of Energy. Find molar specific heat ratio $\gamma = C_p/C_v$ for monatomic, diatomic, and polyatomic gases.
4.
Define Mean Free Path $\lambda = \frac{1}{\sqrt{2}\pi n d^2}$ and explain how it varies with density and temperature.
