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JEE Main 202621 JanuaryEvening Shift
Exam
JEE Main
Year
2026
Date
21 January
Shift
Evening Shift
Subject
Chemistry
Chapter
Solutions

JEE Main 2026 · 21 January · Evening Shift · Chemistry · Solutions

The osmotic pressure of a living cell is 12 atm at 300 K. The...

The osmotic pressure of a living cell is 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 g mol−135.5 \mathrm{~g} \mathrm{~mol}^{-1} respectively.)

Correct answer

0

Step-by-step solution

For osmotic pressure, using the van 't Hoff equation: π=iMRT\pi = iMRT.
The living cell has osmotic pressure of 12 atm.
For an isotonic NaCl solution, the osmotic pressures must be equal.
For NaCl solution: π=i×M×R×T\pi = i \times M \times R \times T, where i=2i = 2 (complete dissociation into Na⁺ and Cl⁻).
12=2×M×0.08×30012 = 2 \times M \times 0.08 \times 300
12=48M12 = 48M
M=0.25M = 0.25 mol/L
Molar mass of NaCl = 23 + 35.5 = 58.5 g/mol.
Concentration in g/L = 0.25×58.5=14.625≈150.25 \times 58.5 = 14.625 \approx 15 g/L
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