A chemist is trying to determine the molar mass of a certain protein. 1.00 x 10 -3 g of it was dissolved in enough water to make 1.00 mL of solution. The osmotic pressure of this solution was found to be 1.12 torr at 25.0°C. Calculate the molar mass of the protein.

Molar mass of protein is g/mol

Explanation:

Protein is a non-electrolyte. For a non-electrolyte-

                                 We know,

where represents osmotic pressure of solution, c represents molarity of solution and T represents temperature in kelvin scale.

Let's assume molar mass of protein is M g/mol

Then

R = 0.0821 L.atm/(mol.K)

= 1.12 torr = 0.00147 atm

T = (273+25) K = 298 K

So,

or, M =

So, molar mass of protein is g/mol