1. Tardigrade
  2. Question
  3. Chemistry
  4. Osmotic pressure of a solution containing 2 g dissolved protein per 300 cm 3 of solution is 20 mm of Hg at 27° C. The molecular mass of protein is:

Question Error Report

Thank you for reporting, we will resolve it shortly

Back to Question

Q. Osmotic pressure of a solution containing $2\, g$ dissolved protein per $300 \,cm ^{3}$ of solution is $20\, mm$ of $Hg$ at $27^{\circ} C$. The molecular mass of protein is:

Solutions

Solution:

$\pi=\frac{ n _{ B } RT }{ V }: n _{ B }=\frac{ w _{ B }}{ M _{ B }}$

$\pi=\frac{ w _{ B }}{ M _{ B }} \times \frac{ RT }{ V }$

$\Rightarrow M _{ B }=\frac{ W _{ B }}{ V } \times \frac{ RT }{\pi}$

$=\frac{2 \times 0.0821 \times 300 \times 760}{0.3 \times 20}$

$=0.0821 \times 100 \times 760=6239.6 \,g \,mol ^{-1}$