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NEET 2026
Exam
NEET
Year
2026
Subject
Chemistry
Chapter
Chapter

NEET 2026 · Chemistry · Chapter

A solution is prepared by dissolving W grams of a non-electrolyte...

A solution is prepared by dissolving WW grams of a non-electrolyte polymer (molar mass =6000 g mol−1= 6000 \text{ g mol}^{-1}) in enough water to make 500 mL500 \text{ mL} of solution. This solution is found to be isotonic with a solution containing 0.18 g0.18 \text{ g} of glucose (C6H12O6\mathrm{C}_6\mathrm{H}_{12}\mathrm{O}_6) per 100 mL100 \text{ mL} at the same temperature. The value of WW is:

(Given atomic masses in g mol−1\mathrm{g~mol}^{-1}: C:12,H:1,O:16\mathrm{C}: 12, \mathrm{H}: 1, \mathrm{O}: 16)

Options

  1. A60 g60 \text{ g}
  2. B30 g30 \text{ g}
  3. C15 g15 \text{ g}
  4. D3 g3 \text{ g}

Correct answer

B. 30 g30 \text{ g}

Step-by-step solution

For isotonic solutions at the same temperature, their osmotic pressures are equal. Since both the polymer and glucose are non-electrolytes, their van 't Hoff factors are i=1i=1, which implies their molar concentrations must be equal.

Molar mass of glucose (C6H12O6\mathrm{C}_6\mathrm{H}_{12}\mathrm{O}_6) =6×12+12×1+6×16=180 g mol−1= 6 \times 12 + 12 \times 1 + 6 \times 16 = 180 \text{ g mol}^{-1}

Concentration of glucose solution, C2=0.18180×1000100=0.01 mol L−1C_2 = \dfrac{0.18}{180} \times \dfrac{1000}{100} = 0.01 \text{ mol L}^{-1}

Concentration of polymer solution, C1=W6000×1000500=W3000 mol L−1C_1 = \dfrac{W}{6000} \times \dfrac{1000}{500} = \dfrac{W}{3000} \text{ mol L}^{-1}

Equating the concentrations C1=C2C_1 = C_2:

W3000=0.01\dfrac{W}{3000} = 0.01

W=30 gW = 30 \text{ g}

Answer: 30 g30 \text{ g}
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