Van der Waals

T_c:
P_c:
V_c:
Blue: P-V isotherm
Orange: Maxwell construction
Red: spinodal region
Van der Waals equation: (P + a/V²)(V - b) = RT. Below T_c the isotherm has a loop (spinodal region — unstable). Maxwell equal-area construction (orange) finds the physical phase transition pressure where liquid and gas coexist. Critical point: T_c = 8a/27Rb, P_c = a/27b², V_c = 3b.