An artificial cell is made by encapsulating 0.2 M glucose solutio… - Vidyadip

MCQ

An artificial cell is made by encapsulating $0.2 \mathrm{M}$ glucose solution within a semipermeable membrane. The osmotic pressure developed when the artificial cell is placed within a $0.05 \mathrm{M}$ solution of $\mathrm{NaCl}$ at $300 \mathrm{~K}$ is . . . . . . . . . .$\times 10^{-1}$ bar. (Nearest Integer)

[Given : $\mathrm{R}=0.083 \mathrm{~L} \mathrm{bar} \mathrm{mol}^{-1} \mathrm{~K}^{-1}$ ]

Assume complete dissociation of $\mathrm{NaCl}$

A
$10$
B
$20$
✓
$25$
D
$30$

✓

Answer

Correct option: C.

$25$

c
$\mathrm{NaCl} \longrightarrow \mathrm{Na}^{+}+\mathrm{Cl}^{-}$

$0.05 \mathrm{M} \quad 0.05 \mathrm{M} \quad 0.05 \mathrm{M}$

$\text { Total } \mathrm{C}_1=0.05+0.05=0.1 \mathrm{M}(\mathrm{NaCl})$

$\mathrm{C}_2=0.2 \mathrm{M}(\text { glucose })$

$\pi=\left(\mathrm{C}_2-\mathrm{C}_1\right) \mathrm{RT}$

$=(0.2-0.1) \times 0.083 \times 300$

$=2.49 \text { bar }$

$=24.9 \times 10^{-1} \text { bar }$

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