Final answer:
The 1 M CaCl2 solution will have the lowest freezing point as it dissociates into three ions, offering a higher concentration of dissolved particles compared to the other listed solutions, hence affecting the freezing point more significantly.
Step-by-step explanation:
The question is about identifying which solution has the lowest freezing point among the given options: 1 M CaCl2, 1 M MgSO4, 1 M NaCl, and 1 M sugar. The freezing point depression is a colligative property that depends on the number of particles the solute breaks down into when dissolved. Since CaCl2 and MgSO4 are ionic compounds, they will break down into more ions than NaCl (which breaks into two ions) or sugar (which does not break at all in solution).
The freezing point depression is more significant in solutions where the solute dissociates into more particles. CaCl2 dissociates into three ions (${Ca^{2+}} + 2{Cl^-}$), MgSO4 dissociates into two ions (${Mg^{2+}} + {SO4^{2-}}$), NaCl dissociates into two ions (${Na^+} + {Cl^-}$), and sugar does not dissociate. Therefore, 1 M CaCl2 will have the lowest freezing point as it provides the highest concentration of dissolved particles after dissociation.