The role of the exponent inequality β + γ > I in the continuity of (∂P/∂T), with the slope of the vaporization curve at the critical point is discussed. A connection between the divergence in the curvature of the vaporization curve and asymmetries in certain thermodynamic functions is established. It is shown, in the context of the scaling law equation of state, that the homogeneous phase specific heat C(1)Von the liquid branch of the coexistence curve is slightlylowerthan on the gas branch, at the same temperature.