Answer:
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:
![0.138 atm=M(0.0821\frac{l*atm}{mol*K} )(28+273K)](https://tex.z-dn.net/?f=0.138%20atm%3DM%280.0821%5Cfrac%7Bl%2Aatm%7D%7Bmol%2AK%7D%20%29%2828%2B273K%29)
= =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