Question

$ 200\text{ }c{{m}^{3}} $ of an aqueous solution of a protein contains 1.26 g. of protein. The O.P. of such a solution at 300 K is found to be $ 2.57\times {{10}^{-3}} $ atm. Molar mass of protein is

• A. $ 60287\text{ }g.mo{{l}^{-1}} $
• B. $ 30242.\text{ }g.mo{{l}^{-1}} $
• C. $ 40404\text{ }g.\text{ }mo{{l}^{-1}} $
• D. $ 50404\text{ }g.\text{ }mo{{l}^{-1}} $

Answer 1

Answer: (A)

: Osmotic pressure $ =\frac{n}{V}RT $ $ 2.57\times {{10}^{-3}}=\frac{1.26}{M\times 200}\times 1000\times 0.0821\times 300 $ $ M=60377.0\text{ }gmo{{l}^{-1}} $ .