$A$ $5\% \, w/v$ solution of cane sugar is isotonic with a $1\% \, w/v$ solution of substance $X$. The molecular weight of $X$ is:

An aqueous solution of volume $300 \, cm^3$ contains $0.63 \, g$ of protein. The osmotic pressure of the solution at $300 \, K$ is $1.29 \, mbar$. The molar mass of the protein is $......... \, g \, mol^{-1}$. Given : $R = 0.083 \, L \, bar \, K^{-1} \, mol^{-1}$

$A$ solution containing $10 \ g$ per $dm^3$ of urea (molecular mass $= 60 \ g \ mol^{-1}$) is isotonic with a $5 \%$ solution of a non-volatile solute. The molecular mass of this non-volatile solute is ........ $g \ mol^{-1}$.

Calculate the osmotic pressure of a $0.2 \ M$ aqueous solution of an electrolyte at $300 \ K$. If the van't Hoff factor is $1.6$,find the osmotic pressure. $\left[R=0.0821 \ atm \ dm^3 \ K^{-1} \ mol^{-1}\right]$ (in $atm$)

$18 \ g$ glucose (Molar mass $= 180 \ g/mol$) is dissolved in $100 \ mL$ of water at $300 \ K$. If $R = 0.0821 \ L \ atm \ K^{-1} \ mol^{-1}$,what is the osmotic pressure of the solution (in $atm$)?

The osmotic pressure of a solution increases,if: