A semi-empirical "universal" corresponding states relationship, for the dim
ensionless transport coefficients of dense fluids as functions of the reduc
ed configurational entropy, was proposed more than twenty years ago and est
ablished by many simulations. Recently it was shown analytically by appeali
ng to Enskog's original results for the inverse power potentials, that the
quasi-universal entropy scaling can be extended also to dilute gases. The a
nalytic form and the possible origin for the entropy scaling for dense flui
ds are discussed in view of this unexpected result. The minimum in the shea
r viscosity as function of temperature was estimated for all soft inverse p
ower potentials, in quantitative agreement with the available simulations.