Calculate the Molar Mass of an Unknown Protein

How to calculate the molar mass of the unknown protein?

Can you explain the steps to determine the molar mass of the protein dissolved in the solution?

Calculation of Molar Mass

To calculate the molar mass of the unknown protein, we can follow these steps:

Mass of protein = 220 mg = 0.220 g

Volume of solution = 5.00 mL = 0.00500 L

Molarity = Osmotic pressure × R constant × Temperature / Volume

Molarity = 0.149 atm × 0.08206 L × atm / mol × K × 298.15 K / 0.00500 L = 3.82 mol / L

Molar mass = Mass of protein / Molarity = 0.220 g / 3.82 mol / L = 57.4 g / mol

Therefore, the molar mass of the protein is 57.4 g / mol.

To determine the molar mass of an unknown protein dissolved in a solution, we need to first convert the mass of the protein from milligrams to grams. In this case, the mass given is 220 mg, which is equivalent to 0.220 g. Next, we convert the volume of the solution from milliliters to liters. The volume given is 5.00 mL, which is equal to 0.00500 L.

After that, we can calculate the molarity of the solution using the formula Molarity = Osmotic pressure × R constant × Temperature / Volume. By substituting the values 0.149 atm for osmotic pressure, 0.08206 L × atm / mol × K for R constant, 298.15 K for temperature, and 0.00500 L for volume, we get a molarity of 3.82 mol / L.

Finally, we find the molar mass of the protein by dividing the mass of the protein by the molarity. The molar mass calculation is Molar mass = Mass of protein / Molarity = 0.220 g / 3.82 mol / L = 57.4 g / mol. Therefore, the molar mass of the protein in the solution is 57.4 g / mol.