A previously published four-parameter empirical equation of state of liquids is modified twice in order to improve the p, V, T data representation and its physical meaning, respectively. The first modification, a six-parameter relationship with two pressure square-root terms, was applied to 57 liquid compounds and to 6 mixtures and gives a very good representation (average percentage deviations of specific volume values less than 0.3%) of p, V, T data encompassing large pressure domains (0.1 to 1200 MPa). It could be useful for engineering applications. The second modified relationship exhibits the same fitting characteristics as the four-parameter one, but it has a better physical meaning. This equation contains an adjustable positive coefficient xi which accounts for the intersections of the (partial derivativealpha/partial derivativep)(T) isotherms at high pressure and also for the variations of the " pressure coefficient " (partial derivativep/partial derivativeT)(V) as a function of both volume and temperature. Thermal expansion data may be represented with an average percentage deviation better than 5%.