Question:

The relationship between osmotic pressure at $273\, K$ when $10\, g$ glucose $(p_1), \,10\, g$ urea $(p_2)$ and $10\, g$ sucrose $(p_3)$ are dissolved in $250\, mL$ of water, is

Updated On: Aug 15, 2022
  • $P_1 > P_2 > P_3$
  • $P_3 > P_1 > P_2$
  • $P_2 > P_1 > P_3$
  • $P_2 > P_3 > P_1$
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The Correct Option is C

Solution and Explanation

Equal weight (10 g) of all electrolytes has been used. Higher the molecular weight, lower the number of moles and lower the magnitude of colligative properties. i.e.; osmotic pressure. Molecular weight order : sucrose > glucose > urea. Osmotic pressure order: urea > glucose > sucrose.
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Concepts Used:

Osmosis

Osmosis is a passive process and happens without any expenditure of energy. It involves the movement of molecules from a region of higher concentration to lower concentration until the concentrations become equal on either side of the membrane.

There are three different types of solutions:

  • Isotonic Solution is one that has the same concentration of solutes both inside and outside the cell.
  • Hypertonic solution is one that has a higher solute concentration outside the cell than inside.
  • Hypotonic solution is one that has a higher solute concentration inside the cell than outside.