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A coordination compound of cobalt(III) contains four ammonia molecules, one sulfate ion, and one chloride ion. Addition of aqueous \(\mathrm{BaCl}_{2}\) solution to an aqueous solution of the compound gives no precipitate. Addition of aqueous \(\mathrm{AgNO}_{3}\) to an aqueous solution of the compound produces a white precipitate. Propose a structure for this coordination compound.

Short Answer

Expert verified
The coordination compound of cobalt(III) contains a central cobalt ion bonded to four ammonia molecules as monodentate ligands and a bidentate sulfate ion within the coordination sphere, making an octahedral geometry. The overall formula is \(\mathrm{[Co(SO_4)(NH_3)_4]Cl}\), with the chloride ion acting as a counter-ion to maintain charge neutrality.

Step by step solution

01

Examine the coordination complex

In a cobalt(III) coordination compound, the cobalt ion has a +3 charge. Since four ammonia molecules and one sulfate ion are coordinated to the cobalt, the sulfate is acting as a bidentate ligand, and the overall charge of the coordination sphere will be zero.
02

Identify the ligands and counter-ions

Since the sulfate ion is part of the coordination sphere and not a counter-ion, it must be bonded to the cobalt within the coordination sphere. This is supported by the fact that there is no precipitation upon the addition of BaCl2 solution. The chloride ion is the counter-ion for this compound, as indicated by the formation of a white precipitate after the addition of AgNO3.
03

Write the formula of the coordination compound

We can now write the formula for the cobalt(III) coordination compound. The cobalt ion, four ammonia molecules, and bidentate sulfate ion form the coordination sphere, resulting in a neutral charge. The chloride ion is a counter-ion, giving an overall formula of: \[ \mathrm{[Co(SO_4)(NH_3)_4]Cl} \]
04

Propose the structure of the coordination compound

Based on the given information and our formula, we can now propose the structure of the cobalt(III) coordination compound. The cobalt(III) ion, acting as the central metal atom, is bonded to four ammonia molecules as monodentate ligands, and to the bidentate sulfate ion within the coordination sphere. The overall structure would have a six-coordinate octahedral geometry around the cobalt metal center. The chloride ion is present outside the coordination sphere as a counter-ion to maintain overall charge neutrality.

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Key Concepts

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

Cobalt(III) Complexes
Cobalt(III) complexes are a fascinating part of coordination chemistry where cobalt exhibits a +3 oxidation state. In such a state, cobalt prefers to create coordination compounds due to its tendency to form stable bonds with surrounding ligands. These ligands can be molecules or ions that act as Lewis bases, donating electron pairs to the cobalt ion. In the exercise, cobalt is coordinated with four ammonia molecules and a sulfate ion. This combination forms a stable coordination sphere around the cobalt(III) ion. The positive charge of cobalt is essential as it allows cobalt to firmly hold onto the ligands by coordinating them in a specific geometric arrangement.
Bidentate Ligands
Bidentate ligands, like the sulfate ion in our exercise, are capable of forming two bonds with the central metal ion. They possess two donor atoms which can simultaneously attach to the metal center, creating a chelate. This doubly-chelating behavior enhances the stability of a complex.
  • Sulfate acts as a bidentate ligand in this case, wrapping around the cobalt ion in two places.
  • The term 'bidentate' comes from the Latin words 'bi-' meaning two, and 'dentate' meaning tooth-like, referring to the two points of attachment.
By forming such a connection, bidentate ligands influence the geometry and stability of coordination compounds significantly.
Counter-Ions
The role of counter-ions in coordination chemistry is to balance the charges of the coordination complexes. They are not directly bonded to the central metal ion but exist outside the coordination sphere. In the example from the exercise, the chloride ion serves as the counter-ion.
  • Counter-ions are essential for maintaining the electrical neutrality of a compound.
  • The presence of a white precipitate upon the addition of AgNO\(_3\) indicates that the chloride ion is free and not part of the coordination sphere.
In summary, counter-ions like chloride do not partake in the inner coordination environment of cobalt but complete the overall structural formula.
Octahedral Geometry
Octahedral geometry is a common structure around metal ions like cobalt(III) in coordination compounds, especially when six ligands are involved. This geometry resembles an octahedron, where the metal ion is at the center and the ligands are located at six vertices.
  • The arrangement provides maximum ligand interaction due to the angles of 90° between bonds, minimizing electron pair repulsion.
  • In the coordination compound described in our exercise, four ammonia molecules and one sulfate ion create this octahedral arrangement around the cobalt ion.
This geometric formation not only stabilizes the metallic center but also can influence the compound's properties such as color and reactivity. Understanding such structures is critical for grasping the behaviors of coordination compounds.

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Consider aqueous solutions of the following coordination compounds: \(\mathrm{Co}\left(\mathrm{NH}_{3}\right)_{6} \mathrm{I}_{3}, \mathrm{Pt}\left(\mathrm{NH}_{3}\right)_{4} \mathrm{I}_{4}, \mathrm{Na}_{2} \mathrm{Pt} \mathrm{I}_{6}\), and \(\mathrm{Cr}\left(\mathrm{NH}_{3}\right)_{4} \mathrm{I}_{3} .\) If aqueous \(\mathrm{AgNO}_{3}\) is added to separate beakers containing solutions of each coordination compound, how many moles of AgI will precipitate per mole of transition metal present? Assume that each transition metal ion forms an octahedral complex.

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