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Question #44904

Difficulty: 8/10 | 🟢 Free

The Question

A coordination complex C\mathbf{C} of a 5d5d transition metal MM has the empirical formula MCl4⋅TEPAMCl_4 \cdot \text{TEPA} (where TEPA = tetraethylenepentamine). The central metal ion MM possesses a diamagnetic t2g6eg0t_{2g}^6 e_g^0 electronic configuration in this complex. Upon treating 1 mole1 \text{ mole} of C\mathbf{C} with excess AgNO3(aq)AgNO_3(aq) at 298 K298 \text{ K}, z molesz \text{ moles} of AgClAgCl precipitate. According to Werner's coordination theory, if pp and ss represent the primary and secondary valencies of the metal MM respectively, determine the value of (p2+s2+z2)(p^2 + s^2 + z^2).

Options

  • A.

    61

  • B.

    56

  • C.

    54

  • D.

    68

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Correct Answer

Step-by-Step Solution

Explanation

How the Examiner Thinks

Exception_Exposure

Learn to identify edge cases and boundary exceptions that JEE examiners hide in math problems.

Concepts Behind This Question

Werner’s Theory Postulates|Ligand Denticity Variations

Why This Question Is Tricky

Common Mistakes

The question tests the fundamental postulates of Werner's Coordination Theory while introducing a complex polydentate ligand (TEPA) to create multiple cognitive traps.

Trap 1: Students often confuse the prefix 'tetra' in tetraethylenepentamine, mistakenly assuming it is a tetradentate ligand (like trien), which leads to an incorrect coordination sphere [Pt(TEPA)Cl2]Cl2[Pt(\text{TEPA})Cl_2]Cl_2 and z=2z=2 (Option B).

Trap 2: A common misconception is equating Werner's primary valency directly to the number of ionizable counter-ions precipitated by AgNO3AgNO_3, leading to p=z=3p=z=3 (Option C).

Primary valency is strictly the oxidation state.

Trap 3: Failing to deduce the coordination number from the crystal field electronic configuration (t2g6eg0t_{2g}^6 e_g^0 dictates an octahedral CN=6CN=6 geometry for 5d5d metals).

Quick Facts About This Question

Question Information

SubjectChemistry
ChapterCoordination Compounds - Class 12
ConceptWerner’s Theory Postulates
Difficulty8
Cognitive Load7
Target Solve Time160 sec
AccessFree