The conductance of a 0.0015 M aqueous solution of a weak monobasic acid was determined by using a conductivity cell consisting of platinized Pt electrodes. The distance between the electrodes is 120 cm with an area of cross section of $$1 cm^2$$. The conductance of this solution was found to be $$5 \times 10^{-7} S$$. The pH of the solution is 4. The value of limiting molar conductivity $$\left(\bigwedge_m^0\right)$$ of this weak monobasic acid in aqueous solution is $$Z \times 10^2 S cm^{-1} mol^{-1}$$. The value of Z is