\(20 \%\) of acetic acid is dissociated when its \(5 g\) is added to \(500 ~mL\) of water. The depression in freezing po…

\(20 \%\) of acetic acid is dissociated when its \(5 g\) is added to \(500 ~mL\) of water. The depression in freezing point of such water is__________ \(\times 10^{-3}\) \({}^{\mathrm{o}}\mathrm{C}\). Atomic mass of \(C , H\) and \(O\) are \(12,1,16\mathrm{amu}\)
[Given: Molal depression constant and density of water are \(1.86 ~K kg mol ^{-1}\) and \(1 ~gcm ^{-3}\) respectively]

[JEE Main 2023, 1 Feb (Shift 2)]