Produces the most particles solution

b) 1.0 m Li3PO4

c) 1.0 m sucrose

NaCl dissociates into one sodium ion (Na+) and one chloride ion (Cl-). Therefore, it produces two particles (Na+ and Cl-) in solution.

b) 1.0 m Li3PO4:

MgCl2 dissociates into one magnesium ion (Mg2+) and two chloride ions (2 Cl-). Therefore, it produces three particles (1 Mg2+ and 2 Cl-) in solution.

Comparing the number of particles, we can see that:

Based on the number of particles, the solution with the highest theoretical freezing point depression would be b) 1.0 m Li3PO4, as it produces the most particles in solution.