Calculate the osmotic pressure of a solution containing 18.75 mg of hemoglobin in 15.0 mL of solution at 25 °C. The molar mass of hemoglobin is 6.5 x 10^4 g/mol.

Osmotic pressure is the pressure required to prevent the flow of solvent into a solution through a semipermeable membrane. It is directly proportional to the concentration of solute particles in the solution and can be calculated using the formula π = iCRT, where π is the osmotic pressure, i is the van 't Hoff factor, C is the molarity of the solution, R is the ideal gas constant, and T is the temperature in Kelvin.

Molarity is a measure of concentration defined as the number of moles of solute per liter of solution. It is calculated by dividing the mass of the solute (in grams) by its molar mass (in g/mol) and then dividing by the volume of the solution (in liters). Understanding molarity is essential for determining how concentrated a solution is, which directly affects osmotic pressure.

Molar mass is the mass of one mole of a substance, typically expressed in grams per mole (g/mol). It is calculated by summing the atomic masses of all atoms in a molecule. In this question, the molar mass of hemoglobin is crucial for converting the mass of hemoglobin present in the solution into moles, which is necessary for calculating the molarity and subsequently the osmotic pressure.