Q14 / 75 · JEE Main 2025 (28 Jan Shift 2) · Chemistry

Assume a living cell with $0.9 \%(\omega / \omega)$ 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 :

  • A
    show no change in volume since solution is $0.9 \%(\omega / \omega)$
  • B
    shrink since solution is $0.5 \%(\omega / \omega)$
  • C
    swell up since solution is $1 \%(\omega / \omega)$
  • Correct answer
    D
    None of these

Solution

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.

Hence, the correct answer is option: 'D'.

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