Redox Reactions and Electrochemistry: JEE Main 2026 Chemistry question

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 $\lambda^\circ_{Q^-}$ happened to be equal with $\lambda^\circ_{Z^-}$, then the difference of the $pK_a$ values of the two weak acids ($pK_a(\mathrm{HQ})-pK_a(\mathrm{HZ})$) is ______ (Nearest integer). [Given: degree of dissociation ($\alpha$) << 1 for both weak acids, $\lambda^\circ$ : limiting molar conductivity of ions]