Solution
Core Logic
Analyzing the standard solubility rules for metal chlorides: Most metal chlorides are soluble in water at room temperature (e.g., MgCl₂, AlCl₃, CuCl₂, BaCl₂). This represents 'x'. However, there are notable exceptions that are sparingly soluble: AgCl, Hg₂Cl₂, and PbCl₂. These represent 'y'. Among these exceptions, PbCl₂ has a unique property: it is sparingly soluble in cold water but highly soluble in hot water. This represents 'z'.
Step 1: Option Elimination
Option (1): AlCl₃ (z) is highly soluble in cold water, not specifically requiring hot water.
Option (2): AgCl (x) is not water soluble at room temperature.
Option (3): BaCl₂ (z) is soluble in cold water.
Option (4): CuCl₂ (x) is soluble at RT. AgCl (y) is sparingly soluble. PbCl₂ (z) is soluble in hot water.
Step 2: Final Conclusion
The set that perfectly maps to x, y, and z is CuCl₂, AgCl and PbCl₂.
Pattern Recognition
The keyword "soluble in hot water" uniquely flags PbCl₂ in qualitative analysis (Group I cations).
Chapter Mix
Class 11 Chemistry: The p-Block Elements Class 12 Chemistry: Qualitative Analysis