Why dissolved particles raise the boiling point
Boiling point elevation is a colligative property, which means the size of the effect depends mainly on how many dissolved particles are present rather than on their identity. Adding solute lowers the solvent's escaping tendency, so the solution must be heated slightly more to reach the same vapour-pressure condition as the pure solvent.
For dilute ideal solutions, the shift is proportional to particle molality. That is why the calculator reports both the molality and the effective particle molality i × m side by side.