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Reaction Rate
Arrhenius k(T), order 0/1/2, [A](t) curves and particle tank.
Diffusion Couple (Fick's Second Law)
Infinite A|B diffusion couple: error-function concentration profiles, diffusivity D, time t, and diffusion length 2√(Dt).
Joule Expansion
Ideal gas into vacuum: Q = W = ΔU = 0; ΔS = nR ln 2 when volume doubles.
Henry's Law (Gas Solubility)
p = k_H c with k_H(T) from ΔH; c vs T at fixed p (ideal-dilute sketch).
Gas Mixing & Entropy
Two species separated then mixed; ΔS = 2nR ln 2 for equal volumes and moles.
Hess's Law (Enthalpy Paths)
Two-step vs direct ΔH on an enthalpy diagram; sum must match declared overall ΔH.