Answer:
Molecular mass of β‑galactosidase = 1.16*10^5g
Explanation:
The osmotic pressure (π) is related to the molarity (M) of a solution by the following equation:
[tex]\Pi = i*M*R*T[/tex]
i = Von't hoff factor = 1 for non-electrolytes
R = gas constant = 0.0821Latm/mol-K
T = temperature
Based on the above equation, molarity of β‑galactosidase is:
[tex]\M = \frac{\Pi}{iRT}=\frac{0.000842atm}{1*0.0821Latm/mol-K*(25+273)K)}= 3.44*10^{-5}mol/L[/tex]
[tex]Moles\ galactosidase=molarity*volume= 3.44*10^{-5}moles/L*0.199L=6.85*10^{-6} moles\\\\Molar\ Mass\ galactosidase = \frac{mass}{moles} =\frac{0.797g}{6.85*10^{-6}mol } =1.16*10^{5} g[/tex]