To calculate the molar mass of a protein from its osmotic pressure, the equation p = i M R T is used, where p is the osmotic pressure, M is molarity, R is the gas constant, T is temperature in Kelvin, and i is the van't Hoff factor. In this case, 1.00E-3 grams of the protein is dissolved in 1.00 mL of water, resulting in an osmotic pressure of 1.12 torr at 25.0°C. The van't Hoff factor (i) for proteins is typically assumed to be 1, as proteins generally do not dissociate in solution. Understanding the van't Hoff factor is crucial, as it can vary for different substances depending on their dissociation in water. The discussion emphasizes the importance of determining the correct values for these variables to successfully calculate the molar mass of the protein.