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Thermodynamics & Statistical Physics

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Calorimetry Thermodynamics & Statistical Physics J The experimental science and practice of measuring heat energy changes during chemical or physical transformations. Q_lost = Q_gained ⇒ m1 c1 (T1 - T_f) = m2 c2 (T_f - T2) Carnot Cycle Thermodynamics & Statistical Physics Dimensionless (%) An ideal reversible thermodynamic cycle operating between two thermal reservoirs, establishing maximum theoretical efficiency for heat engines. η_Carnot = 1 - (T_cold / T_hot) Charles's Law Thermodynamics & Statistical Physics m³/K An ideal gas law stating that gas volume is directly proportional to absolute thermodynamic temperature at constant pressure. V1 / T1 = V2 / T2 (at constant P) Chemical Potential Thermodynamics & Statistical Physics J/particle (or J/mol) The change in system free energy per added particle at constant temperature and pressure. μ = (∂G / ∂N)_{T,P} = (∂U / ∂N)_{S,V} Critical Point Thermodynamics & Statistical Physics Pa, K The endpoint of a phase equilibrium curve in a P-T phase diagram where coexisting liquid and vapor phases become indistinguishable. (∂P/∂V)_T = 0, (∂²P/∂V²)_T = 0