Answer:
molar mass is [tex]6.39\times10^3\ g/mol[/tex]
Explanation:
Osmotic pressure is related with concentration as follows:
[tex]\pi =CRT[/tex]
Where, C is concentration or molarity , R is gas constant and T is temperature.
Osmostic pressure given is 0.0766 atm
R is [tex]0.0821 L \ atm \ K^{1}mol^{-1}[/tex]
T = 25 + 273 = 298 K
Rearrange the above equation to calculate concetration of the solution as follows:
C = P/RT
[tex]C=\frac{0.0766}{0.0821 \times 298} \\=0.00313\ M[/tex]
molarity = moles/volume in L
moles = molarity × volume in L
volume = 5.00 mL = 0.005 L
moles = 0.00313 × 0.005
      =[tex]1.565 \times 10^{-5}[/tex]
[tex]molar\ mass=\frac{mass\ in\ g}{moles} \\=\frac{0.1\ g}{1.565\times 10^{-5}mol} \\=6.389\times 10^3\ g/mol\\[/tex]
Therefore, molecular mass of protein is [tex]6.39\times10^3\ g/mol[/tex]
