Chemistry Question from JEE Main 2023 · 1 February, Shift 2

20% of acetic acid is dissociated when its $5 \, \text{g}$ is added to $500 \, \text{mL}$ of water. The depression in freezing point of such water is _____ $\times 10^{-3} \, ^\circ C$. Atomic mass of C, H and O are $12$, $1$ and $16$ a.m.u. respectively.

[Given : Molal depression constant and density of water are $1.86 \, \text{K kg mol}^{-1}$ and $1 \, \text{g cm}^{-3}$ respectively.]