2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/147030Recent values for virial coefficients up to B12, when expressed in powers of density relative to maximum close packing,lead to a closed equation-of-state for the equilibrium fluid. The series obtained converges for all densities;it becomes negative and diverges to a negative pole at maximum packing. MD data for 64000 spheres in the metastable region shows the virial pressure begins to deviate at the fluid freezing density.Hard-sphere fluid: 4 pages 2 tables 2 figuresStatistical MechanicsVirial Equation-of-State for Hard Spherestext