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Thermodynamics & Statistical Physics

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Thermodynamics & Statistical Physics

Ideal Gas Law

The equation of state relating pressure, volume, temperature, and quantity of an ideal gas composed of non-interacting point particles.

P V = n R T = N kB T Pa·m³ = J
Thermodynamics & Statistical Physics

Intensive vs Extensive Properties

Classification of thermodynamic properties based on whether they depend on system size or amount of matter.

Extensive: U, V, S, m, H; Intensive: T, P, ρ, μ Various
Thermodynamics & Statistical Physics

Internal Energy

The total microscopic energy contained within a thermodynamic system, comprising kinetic energies of particle…

U = (f/2) n R T (for ideal gas) J
Thermodynamics & Statistical Physics

Isobaric Process

A thermodynamic change in state occurring under constant pressure conditions.

ΔP = 0, W = P ΔV, Q = ΔH = n Cp ΔT J
Thermodynamics & Statistical Physics

Isochoric Process

A thermodynamic process occurring at constant volume, during which no mechanical boundary work is performed.

ΔV = 0 ⇒ W = 0, Q = ΔU = n Cv ΔT J
Thermodynamics & Statistical Physics

Isothermal Process

A thermodynamic change in state occurring at a constant temperature throughout the system.

ΔT = 0 ⇒ ΔU = 0, Q = W = n R T ln(V2/V1) J