JEE Main 2026 — Solutions 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.)
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
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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