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The \(\left[\mathrm{Fe}(\mathrm{CN})_{6}\right]^{3-}\) complex is more labile than the \(\left[\mathrm{Fe}(\mathrm{CN})_{6}\right]^{4-}\) complex. Suggest an experiment that would prove that \(\left[\mathrm{Fe}(\mathrm{CN})_{6}\right]^{3-}\) is a labile complex.

Short Answer

Expert verified
Conduct a ligand exchange experiment using spectroscopic analysis to show that \([ \mathrm{Fe}( \mathrm{CN})_{6} ]^{3-}\) undergoes faster substitution compared to \([ \mathrm{Fe}( \mathrm{CN})_{6} ]^{4-}\).

Step by step solution

01

Understanding Lability

Lability refers to the ease with which a complex can undergo ligand substitution. A labile complex will react rapidly with incoming ligands, while an inert complex will not. In this context, \([\mathrm{Fe}(\mathrm{CN})_{6}]^{3-}\) and \([\mathrm{Fe}(\mathrm{CN})_{6}]^{4-}\) are iron cyanide complexes with different oxidation states, affecting their lability.
02

Selecting Experiment Type

To demonstrate lability, conduct an experiment such as a ligand exchange reaction. Observe how easily the complex exchanges one of its cyanide ligands with an alternative ligand. For example, replacing a CN ligand with a nitro, nitrosyl, or thiocyanate ligand could indicate lability.
03

Setting Up the Reaction

Prepare an aqueous solution of \([\mathrm{Fe}(\mathrm{CN})_{6}]^{3-}\) and introduce an alternative ligand, such as \(NO_2^-\), that can replace the cyanide ligands. Maintain a constant temperature and monitor the reaction over time.
04

Monitoring the Reaction

Use spectroscopic methods like UV-Vis spectroscopy to monitor the reaction. This technique can help detect changes in the solution's absorbance as the ligand exchange progresses, indicating the reaction rate.
05

Comparing Results

Perform a similar ligand exchange experiment with \([\mathrm{Fe}(\mathrm{CN})_{6}]^{4-}\) under the same conditions. Compare the rate of ligand exchange between the two complexes. \([\mathrm{Fe}(\mathrm{CN})_{6}]^{3-}\) should exhibit a faster ligand exchange rate, demonstrating its lability.

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Key Concepts

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

Ligand Exchange Reaction
Ligand exchange reactions are an essential concept in coordination chemistry. They involve the substitution of a ligand in a complex with another ligand. This process can indicate how stable or "labile" a complex is. A labile complex changes its ligands quickly, meaning that new ligands can attach to it easily, whereas an inert complex is resistant to such changes.

In our context, when examining the \([\mathrm{Fe}(\mathrm{CN})_{6}]^{3-}\) and \([\mathrm{Fe}(\mathrm{CN})_{6}]^{4-}\) complexes, the speed of the ligand exchange can reveal their lability. By observing how quickly CN ligands are swapped out for other ligands such as nitro or thiocyanate, scientists can infer relative lability. A rapid swap indicates a more labile complex, establishing the ease of ligand exchange as a key indicator of a complex's reactivity.
Iron Cyanide Complexes
Iron cyanide complexes are a fascinating area in the study of coordination compounds. These complexes consist of iron atoms surrounded by cyanide ligands. The particular structures of \([\mathrm{Fe}(\mathrm{CN})_{6}]^{3-}\) and \([\mathrm{Fe}(\mathrm{CN})_{6}]^{4-}\) highlight their different oxidation states.

These states influence their behavior in ligand exchange reactions. The \([\mathrm{Fe}(\mathrm{CN})_{6}]^{3-}\) complex, with its higher positive charge, appears more comfortable in swiftly adopting and releasing ligands. By understanding the fundamental composition and behavior of these complexes, we gain deeper insights into how their structures influence chemical reactivity and properties.
  • Structure: Iron core surrounded by cyanide ligands.
  • Lability related to oxidation states.
  • Reactivity difference highlights potential for varied applications.
Spectroscopic Methods
Spectroscopic methods are crucial in studying ligand exchange reactions due to their efficiency in monitoring reactions. Techniques like UV-Vis spectroscopy allow chemists to observe changes in the absorbance of a solution, indicating a chemical change.

For our experiment, using UV-Vis spectroscopy provides a way to "see" the reaction between \([\mathrm{Fe}(\mathrm{CN})_{6}]^{3-}\) and a new ligand, such as \(NO_2^-\). As ligands are replaced, the spectroscopic signature changes, allowing scientists to track the reaction rate effectively.
  • Detects changes in electronic transitions.
  • Provides real-time data on ligand exchange.
  • Non-invasive, allowing continuous monitoring.
Understanding these methods enhances our ability to characterize complex reactions and determine lability.
Oxidation States in Complexes
The oxidation state of a metal in a complex plays a crucial role in its reactivity and stability. For iron cyanide complexes, the oxidation states significantly affect their lability. In complexes like \([\mathrm{Fe}(\mathrm{CN})_{6}]^{3-}\}\) and \([\mathrm{Fe}(\mathrm{CN})_{6}]^{4-}\}\), the iron atom exhibits different oxidation states, impacting how the complex interacts with other molecules.

The \([\mathrm{Fe}(\mathrm{CN})_{6}]^{3-}\}\) complex, being in a more positive oxidation state, tends to be more labile, as fewer electrons surrounding the metal make it easier for incoming ligands to replace existing ones. Thus, the oxidation state can be directly linked to the rate and ease of ligand exchange and can be utilized to predict and understand the properties of a complex under different conditions. Understanding these oxidation states allows for better theoretical and practical manipulation of complex chemistry behaviors.

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Most popular questions from this chapter

Copper is known to exist in the +3 oxidation state, which is believed to be involved in some biological electron-transfer reactions. (a) Would you expect this oxidation state of copper to be stable? Explain. (b) Name the compound \(\mathrm{K}_{3} \mathrm{CuF}_{6}\) and predict the geometry and magnetic properties of the complex ion. (c) Most of the known Cu(III) compounds have square planar geometry. Are these compounds diamagnetic or paramagnetic?

The formation constant for the reaction \(\mathrm{Ag}^{+}+2 \mathrm{NH}_{3}\) \(\rightleftarrows\left[\mathrm{Ag}\left(\mathrm{NH}_{3}\right)_{2}\right]^{+}\) is \(1.5 \times 10^{7},\) and that for the reaction $$ \mathrm{Ag}^{+}+2 \mathrm{CN}^{-} \rightleftarrows\left[\mathrm{Ag}(\mathrm{CN})_{2}\right]^{-} \text {is } 1.0 \times 10^{21} \text { at } 25^{\circ} \mathrm{C} $$ (see Table 17.5). Calculate the equilibrium constant and \(\Delta G^{\circ}\) at \(25^{\circ} \mathrm{C}\) for the reaction: $$ \left[\mathrm{Ag}\left(\mathrm{NH}_{3}\right)_{2}\right]^{+}+2 \mathrm{CN}^{-} \rightleftarrows\left[\mathrm{Ag}(\mathrm{CN})_{2}\right]^{-}+2 \mathrm{NH}_{3} $$

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A student has prepared a cobalt complex that has one of the following three structures: \(\left[\mathrm{Co}\left(\mathrm{NH}_{3}\right)_{6}\right] \mathrm{Cl}_{3}\), \(\left[\mathrm{Co}\left(\mathrm{NH}_{3}\right)_{5} \mathrm{Cl}\right] \mathrm{Cl}_{2},\) or \(\left[\mathrm{Co}\left(\mathrm{NH}_{3}\right)_{4} \mathrm{Cl}_{2}\right] \mathrm{Cl} .\) Explain how the student would distinguish between these possibilities by an electrical conductance experiment. At the student's disposal are three strong electrolytes \(-\mathrm{NaCl}, \mathrm{MgCl}_{2}\), and \(\mathrm{FeCl}_{3}-\) which may be used for comparison purposes.

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