Chemistry Question from JEE Main 2023 · 31 January, Shift 1

At $27^\circ \text{C}$, a solution containing $2.5 \, \text{g}$ of solute in $250.0 \, \text{mL}$ of solution exerts an osmotic pressure of $400 \, \text{Pa}$. The molar mass of the solute is _____ $\text{g mol}^{-1}$ (Nearest integer).

Given:

$$R = 0.083 \, \text{L bar K}^{-1} \text{mol}^{-1}, \quad \pi = \text{osmotic pressure}, \quad T = 300 \, \text{K}, \quad \text{osmotic pressure} = 400 \, \text{Pa}, \quad 1 \, \text{bar} = 10^5 \, \text{Pa}$$