JEE Main 2024 — Solutions Question with Solution

$$2.7\mathrm{kg}$$ 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 $$=290\mathrm{K}$$]