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The osmotic pressure of equimolar solution of urea,\[\text{ }BaC{{l}_{2}}\] and \[AlC{{l}_{3}}\] will be in the order of:
a.\[AlC{{l}_{3}}>Urea>\text{ }BaC{{l}_{2}}\]
b.\[Urea>\text{ }BaC{{l}_{2}}>AlC{{l}_{3}}\]
c.\[AlC{{l}_{3}}>BaC{{l}_{2}}>Urea\]
d.\[\text{ }BaC{{l}_{2}}>AlC{{l}_{3}}>Urea\]

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Last updated date: 15th Jun 2024
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Answer
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Hint: Urea chemical formula is \[\left( CO{{\left( N{{H}_{2}} \right)}_{2}} \right)\].Equimolar solution is referred to having the same molar concentration of solute in a solvent and having the same number of moles of a given substance.

Complete answer:
Colligative properties are properties that vary in terms of solvent concentration, but not in terms of the form of solution.
The factor of van 't Hoff is the ratio between the actual concentration of particles formed when the material is dissolved and the concentration of a substance as determined from its mass. The factor of van' t Hoff I is a measure of the impact of a solution on colligative properties such as osmotic pressure, relative decrease in vapour pressure, of the elevation in boiling point and the depression in freezing point.
Dissociation\[\left( \eta \right)\]is a process in which molecules split into smaller particles such as atoms, ions, or radicals. When acid dissolves water, a covalent bond between an electronegative atom and a hydrogen atom is broken, which produces proton (H+) and a negative ion. Dissociation is the opposite process of association.
Where dissociation of:
Urea: \[\eta =1\]
BaCl2: \[\eta =3\]
AlCl3: \[\eta =4\]
Dissociation has a relation which is related to Van’t Hoff factor and Osmotic pressure.
Van’t Hoff factor \[\left( i \right)\]measures the effect of a solute upon colligative properties
Osmotic pressure \[\left( \pi \right)\] refers to the minimum pressure which needs to be applied over a solution to prevent the inward flow of its pure solvent across a semipermeable membrane.
Where the relation shared by them is:
          \[\]
So, the correct answer is option C
     \[AlC{{l}_{3}}>BaC{{l}_{2}}>Urea\]

Note:
-In Van’t Hoff factor the colligative properties are referred to such as osmotic pressure.
-Osmotic pressure \[\propto \] number of solute particles in the solution. Hence, it is a colligative property.
-Osmotic pressure is the minimum pressure that must be applied to a solution to avoid the leakage of the pure solvent across a semipermeable membrane into the interior. It is also known as the measure of a solution 's propensity to absorb pure solvent by osmosis.