The number of possible hydrate isomers of CrCl3·6H2O, given that the coordination number of Cr(III) is 6, is:
Answer — (b) 3
Given
CrCl3·6H2O with Cr(III) coordination number 6.
Asked
Number of hydrate isomers.
Concept
Hydrate isomers differ in how many chlorides are coordinated and how many water molecules are displaced into the lattice. The coordination number stays fixed at 6 throughout.
Formula
Water inside + chloride inside = 6
Baby steps
- 0 Cl inside → [Cr(H2O)6]Cl3, violet, gives 3 mol AgCl.
- 1 Cl inside → [Cr(H2O)5Cl]Cl2·H2O, grey-green, gives 2 mol AgCl.
- 2 Cl inside → [Cr(H2O)4Cl2]Cl·2H2O, dark green, gives 1 mol AgCl.
- 3 Cl inside would make the complex neutral with no counter ion, and is not among the isolated forms. Commonly quoted answer = 3.
ShortcutEach chloride moving in pushes one water out to the lattice and drops the AgCl yield by one mole. The AgCl count identifies the isomer uniquely.