An apparatus for extracorporeal treatment of blood (1) comprising a treatment unit, a blood withdrawal line, a blood return line, a preparation line and a spent dialysate line. A control unit (10) is configured to calculate values of a parameter relating to treatment effectiveness based on measures of the conductivity in the spent dialysate line. The value of the effectiveness parameter is calculated using one or more values representative of the conductivity in the spent dialysate line obtained relying on a mathematical model.