JEE Main 2026ChemistrySolutionsMediumNumerical

JEE Main 2026Solutions Question with Solution

JEE Main 2026 (21 January Shift 2)

Question

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 . (Nearest integer)
Given :
Assume complete dissociation of NaCl
(Given : Molar mass of Na and Cl are 23 and respectively.)

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Show full solutionCorrect answer: 15
Correct answer
15

Step-by-step explanation

For osmotic pressure, using the van 't Hoff equation: .
The living cell has osmotic pressure of 12 atm.
For an isotonic NaCl solution, the osmotic pressures must be equal.
For NaCl solution: , where (complete dissociation into Na⁺ and Cl⁻).


mol/L
Molar mass of NaCl = 23 + 35.5 = 58.5 g/mol.
Concentration in g/L = g/L

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About this question

This is a previous-year question from JEE Main 2026, covering the Solutions chapter of Chemistry. PrepSharp catalogues every PYQ from JEE Main with a verified answer key and step-by-step solution prepared by IIT alumni — so you can search by chapter, topic or year and revise efficiently.