Solutions: JEE Main 2024 Chemistry question

$2.7 \mathrm{~kg}$ of each of water and acetic acid are mixed. The freezing point of the solution will be $-x^{\circ} \mathrm{C}$. Consider the acetic acid does not dimerise in water, nor dissociates in water. $x=$ ________ (nearest integer) [Given: Molar mass of water $=18 \mathrm{~g} \mathrm{~mol}^{-1}$, acetic acid $=60 \mathrm{~g} \mathrm{~mol}^{-1}$ ${ }^{\mathrm{K}_{\mathrm{f}}} \mathrm{H}_2 \mathrm{O}: 1.86 \mathrm{~K} \mathrm{~kg} \mathrm{~mol}^{-1}$ $\mathrm{K}_{\mathrm{f}}$ acetic acid: $3.90 \mathrm{~K} \mathrm{~kg} \mathrm{~mol}^{-1}$ freezing point: $\mathrm{H}_2 \mathrm{O}=273 \mathrm{~K}$, acetic acid $=290 \mathrm{~K}$]