1) List known data.
Moles of sugar: 0.500
Mass of water: 0.750 kg
2) List unknown data.
Boiling point elevation:
3) Set the equation for boiling point elevation
[tex]\Delta T=K_bm[/tex]ΔT: change in temperature
Kb: Ebulloscopic constant (0.512 ºC/molal).
m: molality.
4) Molality of the solution
[tex]m=\frac{\text{moles of solute}}{\text{kilograms of solvent}}[/tex][tex]m=\frac{0.500\text{ mol of sugar}}{0.750\text{ kg of water}}=0.6667m[/tex]5) Plug in values in the equation
[tex]\Delta T=\frac{0.512ºC}{\text{molal}}\cdot0.6667\text{ molal=0.3413ºC}[/tex]The change in the boiling point is 0.341ºC.