A solution of glucose (${\mathrm{C}}_6{\mathrm{H}}_{12}{\mathrm{O}}_6$) in water is labeled as $10\% \mathrm{w}/\mathrm{w}$. What would be the molality and mole fraction of each component of the solution?

Calculate the amount of benzoic acid (${\mathrm{C}}_6{\mathrm{H}}_5\mathrm{COOH}$) required for preparing $250 \mathrm{mL}$, of $0.15 \mathrm{M}$ solution in methanol.

Vapour pressure of water is $12.3 \mathrm{kPa}$ at $300 \mathrm{K}$. Calculate vapour pressure of $1$ molal solution of a non-volatile solute in it.

A solution containing $18 \mathrm{g}$ of non-volatile solute in $200 \mathrm{g}$ of water freezes at $272.07 \mathrm{K}$. Calculate the molecular mass of the solute in $\mathrm{g}/\mathrm{mol}$ (Water freezes at $273 \mathrm{K}$ and its ${\mathrm{K}}_{\mathrm{f}}=1.86 \mathrm{K} \mathrm{kg} {\mathrm{mol}}^{-1}$).

A $5\%$ solution of ${\mathrm{CaCl}}_2$ at $0°\mathrm{C}$ developed an osmotic pressure of $15$ atmosphere. Calculate the degree of dissociation.