The specific conductance of \(0.0025 \mathrm{M}\) acetic acid is \(5 \times 10^{-5} \mathrm{~S} \mathrm{~cm}^{-1}\) at a…

The specific conductance of \(0.0025 \mathrm{M}\) acetic acid is \(5 \times 10^{-5} \mathrm{~S} \mathrm{~cm}^{-1}\) at a certain temperature. The dissociation constant of acetic acid is ___ \(\times 10^{-7}\). (Nearest integer). Consider limiting molar conductivity of \(\mathrm{CH}_{3} \mathrm{COOH}\) as \(400 \mathrm{~S} \mathrm{~cm}^{2} \mathrm{~mol}^{-1}\)