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Some of the first complexes discovered by Werner in the 1890 s had the empirical formulas given below. Also given are the number of chloride ions per formula unit precipitated by the addition of \(\mathrm{Ag}^{+}(a q) .\) Explain these observations. $$ \begin{array}{lc} \hline \begin{array}{l} \text { Empirical } \\ \text { formula } \end{array} & \begin{array}{l} \text { Number of Cl }^{-} \text {per formula } \\ \text { unit precipitated by } \mathbf{A g}^{+}(a q) \end{array} \\ \hline \mathrm{PtCl}_{2} \cdot 4 \mathrm{NH}_{3} & 2 \\ \mathrm{PtCl}_{2} \cdot 3 \mathrm{NH}_{3} & 1 \\ \mathrm{PtCl}_{2} \cdot 2 \mathrm{NH}_{3} & 0 \end{array} $$

Short Answer

Expert verified
Chloride ions can be counter-ions or ligands. More \(\mathrm{NH}_3\) decreases chloride ligands, thus increasing the count of precipitated chloride ions.

Step by step solution

01

Understand Coordination Complex

Coordination complexes involve a central metal atom bonded to surrounding ligands. In these complexes, chloride ions could be either directly bonded to the metal or remain as free counter-ions, which can be precipitated by adding silver ions (Ag鈦).
02

Analyze the First Complex

For the empirical formula \( \mathrm{PtCl}_2 \cdot 4 \mathrm{NH}_3 \), two chloride ions are precipitated by \( \mathrm{Ag}^+ \). This implies that both chloride ions are acting as counter-ions and are not bonded to the platinum, which has a coordination number of 4, satisfied by the four \( \mathrm{NH}_3 \) ligands.
03

Evaluate the Second Complex

For \( \mathrm{PtCl}_2 \cdot 3 \mathrm{NH}_3 \), only one chloride ion is precipitated. This suggests one chloride is bonded to the platinum along with three \( \mathrm{NH}_3 \) molecules (completing the coordination number), and the second chloride ion is free as a counter-ion.
04

Analyze the Third Complex

With \( \mathrm{PtCl}_2 \cdot 2 \mathrm{NH}_3 \), no chloride ions are precipitated by \( \mathrm{Ag}^+ \). Both chloride ions must be bonded directly to the metal, satisfying the coordination number of 4 when combined with the two \( \mathrm{NH}_3 \) ligands.

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Key Concepts

These are the key concepts you need to understand to accurately answer the question.

Werner's Complexes
Werner's complexes offer great insight into the arrangement of atoms within a molecule. These are coordination complexes discovered by the chemist Alfred Werner in the late 19th century. Werner was instrumental in advancing our understanding of how metals bond with other molecules.

In a coordination complex, a central metal, often a transition metal, is surrounded by molecules or ions known as ligands. Werner's insights helped clarify that metal ions could form more than one bond with ligands. This was a significant advancement because it explained the formation of complex structures, not just simple ionic or covalent bonds.

These complexes are crucial for understanding chemical reactions and properties. They illustrate how a metal's surrounding environment affects the chemical behavior of the entire complex. These structures were among the first to show that not all compounds fit traditional bonding theories. Thanks to Werner, scientists could rationalize the arrangements of atoms in many compounds.
- **Central Metal**: Acts as the core of the complex. - **Ligands**: Molecules or ions that surround and bond with the central metal. - **Complexes**: Unique structures formed due to bonding patterns Werner described.
Coordination Number
The coordination number in a coordination complex is a key element to understand. It refers to the number of ligand atoms that are directly bonded to the central metal ion. In these complexes, the coordination number helps define the structure and stability of the molecule.

For example, in Werner's complexes such as PtCl\(_2 \cdot 4 \)NH\(_3\), the coordination number is 4. This means that four ligands, namely NH\(_3\) molecules in this case, are bonded to the platinum ion. The coordination number indicates how many "connections" the metal ion forms with surrounding ligands.

Here's how coordination number influences a complex:
  • It determines the spatial arrangement of the ligands around the metal ion.
  • A coordination number of 4 generally leads to either a square planar or tetrahedral geometry.
  • Changing the coordination number alters the molecular geometry and often the chemical reactivity.
Thus, by understanding the coordination number, scientists can predict a lot about a complex's chemical behavior and how it interacts with other substances.
Ligands
Ligands are essential components of coordination complexes. They are the atoms, ions, or molecules that donate at least one pair of electrons to the central metal atom or ion, forming a coordinate bond.

The nature of ligands can significantly influence the properties and reactivity of the entire complex. Ligands can vary in size, shape, charge, and electron-donating ability. They're crucial because they complete the coordination sphere of the metal ion.

There are several types of ligands based on how many donor atoms they possess:
  • **Monodentate ligands**: Attach through a single atom, like NH\(_3\) or Cl\(^-\).
  • **Bidentate ligands**: Attach through two atoms, examples include ethylenediamine.
  • **Polydentate ligands**: Ligands that can attach through multiple atoms; a familiar example is EDTA.
The choice of ligands and their properties directly affect the stability and formation of coordination complexes.

Understanding ligands allows chemists to tailor complexes for specific functions and applications, such as catalysis, material synthesis, and medicinal chemistry.

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Most popular questions from this chapter

Ores containing as little as \(0.25 \%\) copper are sometimes used to obtain copper metal. What mass of such an ore is needed to produce 91 metric tons of copper, the amount used in the Statue of Liberty?

Silver nitrate was added to solutions of the following octahedral complexes and \(\mathrm{AgCl}(s)\) was precipitated immediately in the mole ratios indicated:$$ \begin{array}{lc} \hline \begin{array}{l} \text { Formula of the } \\ \text { complex } \end{array} & \begin{array}{c} (\mathrm{mol} \mathrm{AgCl} / \\ \mathrm{mol} \text { complex }) \end{array} \\ \hline \mathrm{CoCl}_{3}\left(\mathrm{NH}_{3}\right)_{6} & 3 \\ \mathrm{CoCl}_{3}\left(\mathrm{NH}_{3}\right)_{5} & 2 \\ \mathrm{CoCl}_{3}\left(\mathrm{NH}_{3}\right)_{4}(\text { purple }) & 1 \\ \mathrm{CoCl}_{3}\left(\mathrm{NH}_{3}\right)_{4} \text { (green) } & 1 \\ \hline \end{array} $$ (a) Draw the structures expected for each of these complexes. (b) Explain the fact that \(\mathrm{CoCl}_{3}\left(\mathrm{NH}_{3}\right)_{4}\) can be purple or green but that both forms give one mole of \(\operatorname{AgCl}(s)\) per mole complex.

Name a catalyst in the production of sulfuric acid by the contact process.

Give the oxidation state of the metal in (a) \(\left[\mathrm{Mo}(\mathrm{CO})_{4} \mathrm{Cl}_{2}\right]^{+}\) (b) \(\left[\mathrm{Ta}\left(\mathrm{NO}_{2}\right)_{3} \mathrm{Cl}_{3}\right]^{3-}\) (c) \(\left[\mathrm{Co}(\mathrm{CN})_{6}\right]^{3-}\) (d) \(\left[\mathrm{Ni}(\mathrm{CO})_{4}\right]\)

Draw all the geometric and optical isomers for (a) tetraamminedibromoiron(III) ion (b) diamminebromochloroplatinum(II) (square-planar) (c) \(\left[\mathrm{Pt}\left(\mathrm{NH}_{3}\right)_{2} \mathrm{Cl}_{2} \mathrm{~F}_{2}\right]\) (d) \([\) CoBrCl \((e n)]\) (tetrahedral)

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