371. mg of an unknown protein are dissolved in enough solvent to make 5.00 ml of solution. the osmotic pressure of this solution is measured to be at 0.118 atm at 25 c
calculate the molar mass of the protein.

The molar mass of the protein is 15394.2 g/mol

Explanation:

To calculate the concentration of solute, we use the equation for osmotic pressure, which is:

where,

= osmotic pressure of the solution = 0.118 atm

i = Van't hoff factor = 1 (for non-electrolytes)

M = molarity of solute = ?

R = Gas constant =

T = temperature of the solution =

Putting values in above equation, we get:

To calculate the molecular mass of solute, we use the equation used to calculate the molarity of solution:

We are given:

Molarity of solution =

Given mass of protein = 371. mg = 0.371 g   (Conversion factor:  1 g = 1000 mg)

Volume of solution = 5.00 mL

Putting values in above equation, we get:

Hence, the molar mass of the protein is 15394.2 g/mol