\(\mathrm{HA}(\mathrm{aq})⇌{\mathrm{H}}^{+}(\mathrm{aq})+{\mathrm{A}}^{-}(\mathrm{aq})\) The freezing point depression o…

\(\mathrm{HA}(\mathrm{aq})⇌{\mathrm{H}}^{+}(\mathrm{aq})+{\mathrm{A}}^{-}(\mathrm{aq})\)
The freezing point depression of a \(0.1\mathrm{m}\)aqueous solution of a monobasic weak acid HA is \(0.20^\circ \mathrm{C}\). The dissociation constant for the acid is
Given : \({\mathrm{K}}_{\mathrm{f}}\left({\mathrm{H}}_{2}\mathrm{O}\right)=1.8\mathrm{K}\mathrm{kg}{\mathrm{mol}}^{-1},\mathrm{molality}\equiv \mathrm{molarity}\)

[JEE Main 2025, 8 Apr (Shift 1)]