The electrical properties of a planar charged surface in a general ele
ctrolyte solution are examined. Analytical expressions for the electri
cal potential, surface excess of co-ions, double-layer free energy, an
d entropy are derived. A perturbation method is proposed for the resol
ution of the Poisson-Boltzmann equation governing the electrical poten
tial distribution. The analysis extends the classic Gouy-Chapman's res
ult to an arbitrary a:b electrolyte solution. The present approach yie
lds a system of linear ordinary differential equations, which can be s
olved to an arbitrary order, in principle. The performance of the pres
ent perturbation solution is satisfactory for conditions normally enco
untered in practice. For example, if the second-order solution is adop
ted, deviations in the electrical potential and thermodynamic properti
es examined are less than 5%. (C) 1998 Elsevier Science B.V. All right
s reserved.