“…T /K p/MPa q 1 /(kg Á m À3 ) q 3 À q 1 /(kg Á m À3 ) V /;3 /(cm 3 Á mol À1 ) dV /;3 /(cm 3 The concentration, temperature, and pressure surfaces of the apparent molar volumes for Yb(ClO 4 ) 3 (aq) and HClO 4 (aq) solutions have been modelled using modified Pitzer ion-interaction equations [12]. For Yb(ClO 4 ) 3 (aq) solutions, the temperature and pressure dependences of apparent molar volumes at infinite dilution have been modelled within the Pitzer ion-interaction equation framework using an equation of state of TABLE 2 The densities of pure water, q 1 , the concentration dependence of relative densities, q 3 À q 1 , apparent molar volumes of aqueous solutions of perchloric acid, V /;3 , and the uncertainties in apparent molar volumes, dV /;3 , at approximately T ¼ 373:15 K and p ¼ (10, 20 and 30) MPa the form proposed by Helgeson and co-workers [13,14].…”