Answer:
Molar mass of protein is [tex]1.66\times 10^{4}[/tex] g/mol
Explanation:
Protein is a non-electrolyte. For a non-electrolyte-
We know, [tex]\pi =c.R.T[/tex]
where [tex]\pi[/tex] 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 [tex]c=\frac{\frac{1.00\times 10^{-3}}{M}}{1.00}\times 1000mol/L=\frac{1.00}{M}mol/L[/tex]
R = 0.0821 L.atm/(mol.K)
[tex]\pi[/tex] = 1.12 torr = 0.00147 atm
T = (273+25) K = 298 K
So, [tex]0.00147=\frac{1.00}{M}\times 0.0821\times 298[/tex]
or, M = [tex]1.66\times 10^{4}[/tex]
So, molar mass of protein is [tex]1.66\times 10^{4}[/tex] g/mol
