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200cm^3 ofan aqueous solution of protein...

`200cm^3` ofan aqueous solution of protein contains 1.26 of prote. The osmotic pressure of the solution at 300 K is found to be `257 xx 10^(-3)` bar Calculate the molar mass of protein ?

Text Solution

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Given: Mass of the protein`(w_2)` = 1.26g
Volume of the solution (v) = `200 cm^3`=0.200 L
Osmotic pressure `(pi)` = `2.57 xx10^(-3)` bar
Temperature (T) = 300 K
R = gas constant`M_2`=`(w_2 xxRxxT)/(pi v)`
=`(1.26g xx0.083L "bar" K^(-1) "mol"^(-1) xx 300K)/(2.57 xx 10^(-3) "bar" xx 0.200L)`
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