Chemistry · Solutions and Colligative Properties

JEE Main 2026 — 21 January, Evening Shift — Question 65

The osmotic pressure of a living cell in 12 atm at 300 K . The strength of sodium chloride solution that is isotonic with the living cell at this temperature is ____\_\_\_\_ gL−1\mathrm{g} \mathrm{L}^{-1}. (Nearest integer)

Given : R=0.08 L atm K−1 mol−1\mathrm{R}=0.08 \mathrm{~L} \mathrm{~atm} \mathrm{~K}^{-1} \mathrm{~mol}^{-1} Assume complete dissociation of NaCl (Given : Molar mass of Na and Cl are 23 and 35.5 gmol−1\mathrm{g} \mathrm{mol}^{-1} respectively.)

Answer: 15

Numerical answer — enter this value.

Step-by-step solution

π=iCRT\pi=\mathrm{iCRT} 12=2×C×0.08×30012=2 \times \mathrm{C} \times 0.08 \times 300 12=2×C×2412=2 \times \mathrm{C} \times 24 C=14 mole/L\mathrm{C}=\frac{1}{4} \mathrm{~mole} / \mathrm{L} then strength of NaCl solution =14×58.5 g/L=\frac{1}{4} \times 58.5 \mathrm{~g} / \mathrm{L} =14.625 g/L=14.625 \mathrm{~g} / \mathrm{L} =15 g/L=15 \mathrm{~g} / \mathrm{L}

Answer key and solution verified before publishing.

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Exam
JEE Main 2026
Subject
Chemistry
Chapter
Solutions and Colligative Properties
Topic
Solid in Liquid Solutions (Colligative Properties)
The osmotic pressure of a living cell in 12 atm at 300 K . The… | JEE Main 2026 PYQ with Solution · DhiX AI