JEE Main 2026 — Electrochemistry Question with Solution

Molar conductivity of a weak acid HQ of concentration 0.18 M was found to be $1/30$ of the molar conductivity of another weak acid HZ with concentration of 0.02 M. If ${\lambda }^{\circ }{\mathrm{Q}}^{-}$happened to be equal with ${\lambda }^{\circ }{\mathrm{Z}}^{-}$, then the difference of the ${\mathrm{pK}}_{\mathrm{a}}$ values of the two weak acids $\left({\mathrm{pK}}_{\mathrm{a}}(\mathrm{HQ})-{\mathrm{pK}}_{\mathrm{a}}(\mathrm{HZ})\right)$ is $\_\_\_\_$ (Nearest integer).
[Given: degree of dissociation $(\alpha )\ll 1$ for both weak acids, ${\lambda }^{\circ }$ : limiting molar conductivity of ions]