## **Core Concept**
The osmotic pressure of a solution can be calculated using the equation derived from the ideal gas law and van 't Hoff factor, which relates the osmotic pressure of a solution to the concentration of solute particles. This concept is crucial in understanding how solutions behave, especially in biological systems.

## **Why the Correct Answer is Right**
The correct formula to calculate osmotic pressure (π) is given by π = cRT, where c is the concentration of the solute in moles per liter (molarity), R is the ideal gas constant, and T is the temperature in Kelvin. This equation can also be expressed as π = (n/V)RT, where n is the number of moles of solute and V is the volume of the solution in liters. This formula is directly related to option , which represents the van 't Hoff equation for calculating osmotic pressure.

## **Why Each Wrong Option is Incorrect**
- **Option A:** is incorrect because it does not accurately represent the formula for calculating osmotic pressure. This equation seems to relate to the ideal gas law (PV = nRT) but does not apply directly to osmotic pressure calculations without proper modification.
- **Option B:** is incorrect because it seems to confuse the formula for osmotic pressure with another physical or chemical principle. The correct relationship for osmotic pressure does not involve squaring the concentration or directly using it in such a manner.
- **Option D:** is incorrect because it does not accurately represent the van 't Hoff equation or any standard formula for calculating osmotic pressure.

## **Clinical Pearl / High-Yield Fact**
A key point to remember is that osmotic pressure is a colligative property, which means it depends on the number of solute particles in a solution, not their identity. This principle is crucial in various clinical settings, such as calculating the osmolarity of intravenous solutions to avoid causing hemolysis or shrinkage of cells.

## **Correct Answer:** .