Aprotein subunit from an enzyme is part of a research study and needs to be characterized. a total of 0.145 g of this subunit was dissolved in enough water to produce 2.00 ml of solution. at 28 ∘c the osmotic pressure produced by the solution was 0.138 atm. what is the molar mass of the protein?

The molar mass of the protein is 12982.8 g/mol.

Explanation:

The osmptic pressure is given by:

π=MRT

Where,

M: is molarity of the solution

R: the ideal gas constant (0.0821 L·atm/mol·K)

T: the temperature in kelvins

Hence, we look for molarity:

= =5.584×10⁻³mol/l

As we have 2 ml of solution, we can get the moles quantity:

Moles of protein: 5.584×10⁻³×2ml=1.117×10⁻⁵mol

Finally, the moles quantity is the division between the mass of the protein and the molar mass of the protein, so:

Moles=Mass/Molar mass

Molar mass= Mass/Moles==12982.8 g/mol