An apparatus for
extracorporeal treatment of blood (1) comprising a
treatment unit (2), a
blood withdrawal line (6), a blood return line (7), a preparation line (19) and a spent dialysate line (13); a non- invasive
blood volume sensor (50) for determining an additional property of blood is active on a tube segment (61) of the
blood withdrawal line or of the blood return line; the sensor includes one source (53) for directing a
signal towards the blood, a plurality of detectors (57) for receiving the
signal, and a controller (65) receiving the output signals from the detectors (57) and determining a
blood volume variation and a value of
sodium concentration in the blood (Napl) both based on the output signals. A process of determining at least one parameter and on property of
blood circulating an
extracorporeal blood circuit is also disclosed.