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A solution of 1.8274g of a polypeptide in 274mL of a aqueous solution has an osmotic pressure at 31.40 degrees C of 2.012 mmHg. The approximate molecular weight of this polymer is _____ g/mol.

Sagot :

Answer: Hence, the approximate molecular weight of the poymer is 64106 g/mol

Explanation:

[tex]\pi=CRT[/tex]

where,

[tex]\pi[/tex] = osmotic pressure of the solution = 2.012 mm Hg =  0.0026 atm

i = Van't hoff factor = 1 (for non-electrolytes)

Mass of solute (polypeptide) = 1.8274 g  

Volume of solution = 274 mL

R = Gas constant = [tex]0.0821Latm/Kmol[/tex]

T = temperature of the solution = [tex]31.40^0C=(273+31.40)K=304.4K[/tex]

Putting values in above equation, we get:

[tex]0.0026=\frac{1.8274 g\times 1000}{M\times 274ml}\times 0.0821\times 304.4[/tex]

[tex]M=64106g/mol[/tex]

Hence, the approximate molecular weight of the poymer is 64106 g/mol

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