The osmotic pressure of dilute solution is given below by relationship:

Correct answer: B. π = RCT/M

  • A. π = iCRT
  • B. π = RCT/M
  • C. π = nRT/V
  • D. π = PV = nRT

Explanation

The correct relationship for the osmotic pressure of a dilute solution is given by the equation π = RCT/M. This equation shows that osmotic pressure is directly proportional to the temperature (T) and molar concentration (C) of the solute, and inversely proportional to the molar mass (M). The formula accounts for the behavior of the solution as it approaches ideal conditions, where R is the ideal gas constant.Option A is incorrect because it includes the van 't Hoff factor, which is not needed for non-electrolyte dilute solutions. Options C and D are incorrect as they refer to the ideal gas law, which is not applicable for calculating osmotic pressure in solutions.

This question appeared on the ETEA MDCAT 2016 paper, which you can sit online with every answer explained.

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About Colligative Properties

Colligative properties depend on the number of dissolved particles rather than their chemical identity. The topic covers relative lowering of vapour pressure, elevation of boiling point, depression of freezing point and osmotic pressure, including electrolyte dissociation, the van’t Hoff factor and molar-mass calculations.

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