JEE Main · 2024 · 05 Apr 2024 · Shift 1 · Solutions

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An artificial cell is made by encapsulating 0.2 M glucose solution within a semipermeable membrane. The osmotic pressure developed when the artificial cell is placed within a 0.05 M solution of NaCl at 300 K is ____

\times 1 0^{- 1}

bar.
(Nearest Integer)
[Given :

R = 0.083 L

bar

mol^{- 1} K^{- 1}

]
Assume complete dissociation of NaCl

Answer: 25

Solution

Osmotic pressure across the membrane depends on the difference in total solute molarity. Glucose (non-electrolyte):

C_{2} = 0.2

M. NaCl dissociates completely (

i = 2

): effective

C_{1} = 2 \times 0.05 = 0.1

π = (C_{2} - C_{1}) R T = (0.2 - 0.1) (0.083) (300) = 2.49 bar = 24.9 \times 1 0^{- 1} bar \approx 25 \times 1 0^{- 1} bar .

Nearest integer

= 25

JEE Main · 2024 · 05 Apr 2024 · Shift 1 · Integer answer

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