The osmotic pressure of a urea solution at $10\,^oC$ is $500\, mm\, of\, Hg$. The solution is diluted such that the temperature increases to $25\,^oC$ and the osmotic pressure becomes $131.6\, mm\, of\, Hg$. By what factor has the solution been diluted?

The osmotic pressure of a $5\% \ (w/V)$ solution of cane sugar at $150\,^{\circ}C$ will be $.......$ $atm$.

$50 \ mL$ of $0.2$ molal urea solution (density $= 1.012 \ g \ mL^{-1}$ at $300 \ K$) is mixed with $250 \ mL$ of a solution containing $0.06 \ g$ of urea. Both the solutions were prepared in the same solvent. The osmotic pressure (in Torr) of the resulting solution at $300 \ K$ is . . . . . $[\Delta_{mix} V = 0]$

$300 \ mL$ of an aqueous solution of a protein contains $2.52 \ g$ of the protein. If the osmotic pressure of such a solution at $300 \ K$ is $5.04 \times 10^{-3} \ bar$,the molar mass of the protein in $g \ mol^{-1}$ is:

Which of the following can pass through a semi-permeable membrane?

Osmotic pressure of a solution can be measured quickly and accurately by