Step 1: Understanding the Question:
The question presents an Assertion regarding osmotic pressure being a function of solute concentration, and a Reason explaining this relationship.
Step 2: Key Formula or Approach:
Osmotic pressure (\(\pi\)) is a colligative property defined by the formula:
\[ \pi = iCRT \]
where:
\(i\) is the van 't Hoff factor
\(C\) is the molar concentration of the solute
\(R\) is the gas constant
\(T\) is the absolute temperature
This formula shows that osmotic pressure is directly proportional to solute concentration.
Step 3: Detailed Explanation:
• Assertion (A): Osmotic pressure is the hydrostatic pressure required to stop the inward diffusion of pure water across a semipermeable membrane.
Because it depends on the number of solute particles in the solution, it is directly proportional to solute concentration. Hence, Assertion (A) is correct.
• Reason (R): Adding solute to water lowers its chemical potential (water potential).
Water naturally diffuses from areas of high water potential (dilute solution) to low water potential (concentrated solution).
A higher solute concentration creates a larger concentration gradient, drawing water in more rapidly.
As a result, more counter-pressure is required to prevent water from entering the solution.
Therefore, Reason (R) is correct and explains why osmotic pressure is a function of solute concentration.
Step 4: Final Answer:
Both Assertion (A) and Reason (R) are correct, and Reason (R) is the correct explanation of Assertion (A).