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Q.

200 mL of a very dilute aqueous solution of a protein contains 1.9 gm of the protein. If osmotic rise of such a solution at 300 K is found to be 38 mm of solution then calculate molar mass of the protein  (Take R=0.008Latmmol1K1 ) 

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a

62016 g/mole

b

517230 g/mole

c

123150 milli g/mole

d

 24630 g/mole

answer is D.

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Detailed Solution

Density of solution = 1 g/mL 

Osmotic rise in terms of mm of Hg=3813.6

Now, π=CST;3813.6×1760=1.9M200×1000×0.08×300

M=62016g/ mole 

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200 mL of a very dilute aqueous solution of a protein contains 1.9 gm of the protein. If osmotic rise of such a solution at 300 K is found to be 38 mm of solution then calculate molar mass of the protein  (Take R=0.008Latmmol−1K−1 )