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If osmotic pressure of 0.2 M aqueous glucose solution is 5 atm at 300 K. Calculate the concentration of glucose solution having osmotic pressure 2.5 atm at same temperature.

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Question

If osmotic pressure of 0.2 M aqueous glucose solution is 5 atm at 300 K. Calculate the concentration of glucose solution having osmotic pressure 2.5 atm at same temperature.

Options

  • 0.1 M

  • 0.05 M

  • 0.75 M

  • 0.25 M

MCQ
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Solution

0.1 M

Explanation:

`pi_"Glucose"` = CRT

5 atm = 0.2 mol dm−3 × R × 300 K

∴ R = 0.083 atm mol−1 dm3 K−1

∴ 2.5 atm = C × 300 K × 0.083 atm mol−1 dm3 K−1

∴ C = 0.1 M

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Colligative Properties of Nonelectrolyte Solutions
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