The solubility of sodium halides in water at 25°C increases in the order of NaI > NaBr > NaCl. This is because as the ionic radius of the halide ion increases, the lattice energy of the salt decreases, allowing it to dissolve more easily in water.
The solubility of an ionic solid in water depends on the balance between its lattice energy (the energy holding the ions together in the solid) and its hydration energy (the energy released when the ions get surrounded by water molecules). For a series of sodium halides, the cation stays fixed as Na+ while the halide ion gets bigger going from Cl- to Br- to I-. Let's check each option against this balance.
Since lattice energy falls faster than hydration energy as the halide ion gets bigger, solubility keeps rising from NaCl to NaBr to NaI.
So the correct answer is NaI > NaBr > NaCl.