$2 \text{ g}$ of a non-electrolyte solute, when dissolved in $50 \text{ g}$ of water, increases its boiling point by $0.13 \text{ K}$. Calculate the molar mass of the solute if the molal elevation constant $(K_b)$ of water is $0.52 \text{ K kg mol}^{-1}$.

The plot given below shows $P-T$ curves (where $P$ is the pressure and $T$ is the temperature) for two solvents $X$ and $Y$ and isomolal solutions of $NaCl$ in these solvents. $NaCl$ completely dissociates in both the solvents.
On addition of equal number of moles of a non-volatile solute $S$ in equal amount (in $kg$) of these solvents,the elevation of boiling point of solvent $X$ is three times that of solvent $Y$. Solute $S$ is known to undergo dimerization in these solvents. If the degree of dimerization is $0.7$ in solvent $Y$,the degree of dimerization in solvent $X$ is. . . . . . .

Exactly $1 \ g$ of urea dissolved in $75 \ g$ of water gives a solution that boils at $100.114 \ ^oC$ at $760 \ torr$. The molecular weight of urea is $60.1$. The boiling point elevation constant for water is

Calculate the molality of a solution containing a non-volatile solute if the boiling point elevation of the solution is $0.2 \ K$ $[K_{b} = 0.52 \ K \ kg \ mol^{-1}]$.

What is elevation in boiling point? Explain.

Calculate the number of moles of nonvolatile solute dissolved in $0.5 \ kg$ solvent if molal elevation constant for solvent is $2 \ K \ kg \ mol^{-1}$ and the elevation in boiling point is $\Delta T_{b} = 0.8 \ K$.