The quantification of electrical conductivity in fluids is integral to various applications, including water engineering, biomedical, and industrial sectors. This study introduces an innovative methodology harnessing phase-sensitive detection to assess conductance, thereby nullifying the coupling capacitances' interference between the probe cell's metallic electrodes. The devised electronic conditioning circuit incorporates a 1 kHz sinusoidal voltage source, an admittance-to-voltage converter, a lock-in amplifier, and a microcontroller/LCD interface. Calibrations were performed over two ranges, 1 mS/cm and 20 mS/cm, utilizing precise combinations of resistors, capacitors, and adjustable resistors. The experimental findings were juxtaposed with a standard commercial conductometer across various solutions -calibration solutions, electrolyte solutions (NaCl, KCl, CaCl2, MgSO4), and different water treatment room solutions at a hemodialysis center (Carbon filter, water softener, Reverse osmosis, Dialysate). The relative error in the measured conductivity was derived, with a maximum value of 1.45% noted. This error margin is inferior to those reported by many commercial conductivity meters, suggesting improved accuracy of our method.