JEE MAIN - Chemistry (2025 - 28th January Evening Shift - No. 13)

Assume a living cell with 0.9% (w/w) of glucose solution (aqueous). This cell is immersed in another solution having equal mole fraction of glucose and water.
(Consider the data upto first decimal place only)

The cell will :
shrink since solution is $0.45 \%(\omega / \omega)$ as a result of association of glucose molecules (due to hydrogen bonding)
shrink since solution is $0.5 \%(\omega / \omega)$
show no change in volume since solution is $0.9 \%(\omega / \omega)$
swell up since solution is $1 \%(\omega / \omega)$

Explanation

Living cell $=0.9 \mathrm{gm}$ in 100 gm of solution $\% \mathrm{w} / \mathrm{w}=0.9$

Solution is have equal moles of glucose and water $=0.5$

Weight of solution $=0.5 \times 180+0.5 \times 18=99 \mathrm{gm}$ $\% \mathrm{w} / \mathrm{w} \simeq 90 \%$

Concentrated solution $=$ Cell will shrink

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