To determine which compound(s) crystallize when hydrochloric acid (HCl) is passed through a solution containing \(CaCl_2\), \(MgCl_2\), and \(NaCl\), we need to consider the solubility of these chlorides and the common ion effect.
- Understanding the Solubility Principle: In a solution with common ions, the compound with lower solubility in the presence of its common ion is likely to crystallize first.
- Solubility of the Chlorides:
- \(CaCl_2\) and \(MgCl_2\) are highly soluble in water.
- \(NaCl\) is also highly soluble, but when HCl is added, the solubility product (Ksp) of NaCl is exceeded, leading to crystallization due to the common ion effect (increased Cl- concentration).
- Effect of HCl Addition:
- When HCl is added to the solution, the concentration of Cl- ions increases.
- The common ion effect decreases the solubility of NaCl. This is because NaCl has a lower solubility product threshold compared to CaCl2 and MgCl2 in the presence of chloride ions.
- Conclusion: As a result of these considerations, \(NaCl\) will crystallize out of the solution when HCl is introduced, due to the common ion effect reducing its solubility.
Thus, the correct answer is: Only \(NaCl\).