Kinetic Theory of Gases
NIOS · Class 12 · Physics
All formulas from Kinetic Theory of Gases in NIOS Class 12 Physics. Key equations, constants, and identities for board exam preparation.
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Thermal Expansion
ΔL = α · L₀ · Δθ
ΔA = β · A₀ · Δθ
ΔV = γ · V₀ · Δθ
β = 2α and γ = 3α
Specific Heat and Calorimetry
ΔQ = m · C · Δθ
m₁C₁(θ₁ - θ) = m₂C₂(θ - θ₂)
Assumptions and Pressure of Kinetic Theory
PV = (1/3) M c̄²
P = (1/3) ρ c̄²
P = (1/3) m n c̄²
c_rms = √(c̄²) = √(3P/ρ) = √(3RT/M) = √(3kT/m)
Kinetic Interpretation of Temperature
KE per molecule = (1/2)mc̄² = (3/2)kT
KE per mole = (3/2)RT
k = R/Nₐ
c_rms ∝ √T
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