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Q.The formula of the complex dichloridobis(ethane-1,2-diamine)platinum(IV) nitrate is (A) [PtCl2(en)2(NO3)2][PtCl_2(en)_2(NO_3)_2] (B) [PtCl2(en)2](NO3)2[PtCl_2(en)_2](NO_3)_2 (C) [PtCl2(en)2(NO3)]NO3[PtCl_2(en)_2(NO_3)]NO_3 (D) [Pt(en)2(NO3)2]Cl2[Pt(en)_2(NO_3)_2]Cl_2

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The name "dichloridobis(ethane-1,2-diamine)platinum(IV) nitrate" tells us the complex cation is [PtCl2(en)2]2+[PtCl_2(en)_2]^{2+} and the counterion is nitrate (NO3−NO_3^-). Since platinum is in +4 oxidation state, the cation has a +2 charge, requiring two nitrate ions. The correct formula is [PtCl2(en)2](NO3)2[PtCl_2(en)_2](NO_3)_2, which is option (B).

Why Nomenclature Works This Way

Coordination compound nomenclature follows a simple logic: the name is built from the inside out. The central metal is named last (with its oxidation state in Roman numerals), ligands are listed alphabetically before it, and the counterion (if any) is named as a separate word. When you see a name like "dichloridobis(ethane-1,2-diamine)platinum(IV) nitrate", you can decode it piece by piece.

The key insight: the name tells you exactly what is inside the coordination sphere (the brackets) and what is outside. Ligands named with prefixes like bis, tris, tetrakis are inside the coordination sphere. The counterion is named as a separate word at the end — here, "nitrate" is the counterion.

Step-by-Step Decoding

1. Identify the central metal and its oxidation state.

The name ends with "platinum(IV)". The Roman numeral IV means platinum is in the +4+4 oxidation state. This is crucial because it determines the overall charge of the complex.

2. Identify the ligands inside the coordination sphere.

The name begins with "dichloridobis(ethane-1,2-diamine)".

  • "dichlorido" means two chloride ligands (Cl−Cl^-). The prefix "di-" tells you there are two.
  • "bis(ethane-1,2-diamine)" means two molecules of ethane-1,2-diamine. This ligand is commonly abbreviated as en. The prefix "bis-" is used instead of "di-" to avoid confusion when the ligand name itself contains a numerical prefix.

So inside the coordination sphere we have: two Cl−Cl^- and two en ligands.

3. Determine the charge on the coordination sphere.

Platinum(IV) has a charge of +4+4.

Each chloride ligand carries a −1-1 charge. Two chlorides contribute −2-2.

Ethane-1,2-diamine (en) is a neutral ligand — it has no charge.

So the net charge on the complex cation is:

+4+(−2)+0=+2+4 + (-2) + 0 = +2.

Thus the complex cation is [PtCl2(en)2]2+[PtCl_2(en)_2]^{2+}.

4. Identify the counterion.

The name ends with "nitrate". Nitrate is NO3−NO_3^-, with a charge of −1-1.

Since the cation has a +2+2 charge, we need two nitrate ions to balance it. That gives 2×(−1)=−22 \times (-1) = -2, making the overall compound neutral.

5. Write the full formula.

The cation is written inside square brackets: [PtCl2(en)2][PtCl_2(en)_2].

The two nitrate ions are written outside the brackets: (NO3)2(NO_3)_2.

So the complete formula is [PtCl2(en)2](NO3)2[PtCl_2(en)_2](NO_3)_2. …

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