Verified Solution • 2025–26 Session moderate

QJEEM23Chba72: JEE Main 2023 Chemistry - Class 12 JEEM23Chba72 Solution: At , a solution containing of solute in of solution exerts an…

At 27∘C27^{\circ} \mathrm{C} , a solution containing 2.5 g2.5 \mathrm{~g} of solute in 250.0 mL250.0 \mathrm{~mL} of solution exerts an osmotic pressure of 400 Pa400 \mathrm{~Pa} . The molar mass of the solute is ___________ g mol−1\mathrm{g} \mathrm{~mol}^{-1} (Nearest integer)

(Given : R=0.083 L bar K−1 mol−1\mathrm{R}=0.083 \mathrm{~L} \mathrm{~bar} \mathrm{~K}^{-1} \mathrm{~mol}^{-1} )

Step-by-Step Verified Solution

π=CRT\pi = CRT

400amp;=2.5mw×4×(.083×105)×300mwamp;=10×0.083×34×105amp;=62250\begin{aligned}400 & =\frac{2.5}{\mathrm{m_w}} \times 4 \times\left(.083 \times 10^5\right) \times 300 \\\\\mathrm{m_w} & =\frac{10 \times 0.083 \times 3}{4} \times 10^5 \\\\& =62250\end{aligned}

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