Question:

In the complex with formula $MCl_3 \cdot 4H_2O,$ the coordination number of the metal M is six and there is no molecule of hydration in it. The volume, if 0.1 M $AgNO_3$ solution needed to precipitate the free chloride ions in 200 mL of 0.01 M solution of the complex, is

Updated On: Jun 3, 2024
  • 40 mL
  • 20 mL
  • 60 mL
  • 80 mL
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The Correct Option is B

Solution and Explanation

The coordination number of metaI M = 6
Number of molecules of hydration = 0
Thus, the formula of complex = $[ M (H_2O)_4 Cl_2 ]Cl $
$[M(H_2O)_4Cl_2]Cl+AgNO_3 \longrightarrow [M(H_2O)_4Cl_2]NO_3 +AgCI $
$\, \, \, \, \, \, \, \, \, \, \, \, Cl^- + AgNO_3 \longrightarrow NO^-_3 + AgCl$
Let the volume of $AgNO_3$ used = V
$\because \, \, \, \, \, \, \, \, \, \, \, ^{M_1VC_1}_{for\, AgNO_3}=\, ^{M_2VC_2}_{for\, Cl^-}$
$\therefore \, \, \, \, \, \, \, \, \, \, \, 0. 1 \times V = 200\times 0.01 $
$or \, \, \, \, \, \, \, \, \, \, \, \, \, \, \, \, \, \, \, \, \, \, \, \, \, \, \, V=20 mL$
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Concepts Used:

Coordination Compounds

A coordination compound holds a central metal atom or ion surrounded by various oppositely charged ions or neutral molecules. These molecules or ions are re-bonded to the metal atom or ion by a coordinate bond.

Coordination entity:

A coordination entity composes of a central metal atom or ion bonded to a fixed number of ions or molecules.

Ligands:

A molecule, ion, or group which is bonded to the metal atom or ion in a complex or coordination compound by a coordinate bond is commonly called a ligand. It may be either neutral, positively, or negatively charged.