Accurate determination of limiting molar conductivity (Lambda(0)) value for an electrolyte at infinite dilution is an important physical quantity that reviews the strength of an electrolyte. Therefore, in this study, a power law comprised of a double-logarithmic plot of electrolytic conductivity (kappa) and salt concentration (C-salt) has been introduced to determine Lambda(0) accurately at a corresponding reference salt concentration (C-ref). Furthermore, the reliability of the experimental data is verified after Kohlrausch's law for LiClO4 (aq.) at 25.0 degrees C which is perfectly identical with the reference data. The workability of the power law is tested for LiClO4 (aq.) and LiClO4 in acetonitrile (ACN) at a range of C-salt at 25.0 degrees C. Thus, the Lambda(0) for both systems correspond at 106 and 177.4 S cm(2) mol(-1) respectively, after the power law deviated only 2% of the reported value. From the study, it is noted that the corresponding C-ref is approximately half of the lowest C-salt concentration that obeys the power law at infinite dilution which responds to Lambda(0) for an electrolyte system. This alternative method shows a nice linearity for C-salt (10(-5) - 10(-9) mol cm(-3)) between the experimental and reference data before it deviates from the linearity above C-salt > 10(-5) mol cm(-3). (C) 2014 Elsevier Ltd. All rights reserved.