Chapter 19: Problem 25
Which one of the following ions is colourless in its aqueous solution? (a) \(\mathrm{Ti}^{3+}\) (b) \(\mathrm{Cu}^{2+}\) (c) \(\mathrm{Ni}^{2+}\) (d) \(\mathrm{Zn}^{2+}\)
Short Answer
Expert verified
(d) \(\mathrm{Zn}^{2+}\) is colorless in its aqueous solution.
Step by step solution
01
Understanding the Role of d-Electrons
Transition metal ions display colors due to the d-electron configuration. When light passes through the aqueous solution, certain wavelengths are absorbed for d-d transitions, often resulting in a colored appearance.
02
Analyzing the Electron Configuration of Each Ion
1. x2922Ti^{3+}x2922: Has one electron in the 3d subshell, which can undergo d-d transitions, making it appear colored.
2. x2922Cu^{2+}x2922: Has a partially filled d subshell (3d^9), which allows for d-d transitions, resulting in a color.
3. x2922Ni^{2+}x2922: Has a partially filled d subshell (3d^8), which can also result in a color.
4. x2922Zn^{2+}x2922: Has a completely filled 3d subshell (3d^10), which prevents d-d transitions, making it typically colorless.
03
Concluding the Color of each Ion Based on Electron Configuration
Since x2922Zn^{2+}x2922 has a fully filled d-shell (3d^10), it does not have the possibility for d-d transitions as these transitions require unpaired d-electrons. This results in a colorless aqueous solution.
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Key Concepts
These are the key concepts you need to understand to accurately answer the question.
d-Electron Configuration
The d-electron configuration is crucial in determining the properties and behaviors of transition metal ions. Transition metals are defined by their ability to form ions with partially filled d-subshells. These d-electrons play a significant role in various chemical phenomena.
For example, the electronic configuration of a transition metal like zinc for - \Zn would be: \([ \text{Ar} ] 3d^{10} 4s^2\) in its elemental state- In the \(\mathrm{Zn}^{2+}\) ion, it loses two electrons, resulting in a configuration of \([ \text{Ar} ] 3d^{10}\)
Having a complete d-subshell, as seen in \( \mathrm{Zn}^{2+} \), can influence the ion's chemical reactivity and optical properties. For instance, the absence of unpaired d-electrons in \( \mathrm{Zn}^{2+} \) leads to specific optical behavior and reactivity compared to ions with incomplete d subshells, like \( \mathrm{Cu}^{2+} \) or \( \mathrm{Ni}^{2+} \). This difference in electron configurations is foundational to understanding their properties.
For example, the electronic configuration of a transition metal like zinc for - \Zn would be: \([ \text{Ar} ] 3d^{10} 4s^2\) in its elemental state- In the \(\mathrm{Zn}^{2+}\) ion, it loses two electrons, resulting in a configuration of \([ \text{Ar} ] 3d^{10}\)
Having a complete d-subshell, as seen in \( \mathrm{Zn}^{2+} \), can influence the ion's chemical reactivity and optical properties. For instance, the absence of unpaired d-electrons in \( \mathrm{Zn}^{2+} \) leads to specific optical behavior and reactivity compared to ions with incomplete d subshells, like \( \mathrm{Cu}^{2+} \) or \( \mathrm{Ni}^{2+} \). This difference in electron configurations is foundational to understanding their properties.
d-d Transitions
d-d transitions refer to the phenomena where electrons in a partially filled d-orbital gain energy and jump to a higher energy d-orbital. This process is common in transition metal ions with unpaired d-electrons. Transition metal ions absorb specific wavelengths of light which correspond to the energy difference between these d orbitals.
These transitions occur primarily in ions with:- Partially filled d-orbitals For instance, analyzing the ion \( \mathrm{Cu}^{2+} \), we find that it has one more favorable condition for these transitions. It extracts energy from visible light, facilitating d-electron transitions between different d-orbitals. This absorbed light subsequently leads to the ion exhibiting various colors.
On the other hand, \( \mathrm{Zn}^{2+} \), with a full \( 3d^{10} \) configuration possesses no unpaired electrons, hence is incapable of undergoing d-d transitions. This immobilizes the possibility for color formation, rendering zinc ions generally colorless.
These transitions occur primarily in ions with:- Partially filled d-orbitals For instance, analyzing the ion \( \mathrm{Cu}^{2+} \), we find that it has one more favorable condition for these transitions. It extracts energy from visible light, facilitating d-electron transitions between different d-orbitals. This absorbed light subsequently leads to the ion exhibiting various colors.
On the other hand, \( \mathrm{Zn}^{2+} \), with a full \( 3d^{10} \) configuration possesses no unpaired electrons, hence is incapable of undergoing d-d transitions. This immobilizes the possibility for color formation, rendering zinc ions generally colorless.
Color of Ions
The color of transition metal ions in aqueous solutions is largely attributed to their d-electron configurations and the resulting d-d transitions. The absorption of light at particular wavelengths results in the complementary color being observed.
Key points influencing ion color include:- The presence of unpaired electrons in the d-orbitals.- The specific wavelengths absorbed by the particular electron transitions.When \(\mathrm{Ni}^{2+} \) with its \(3d^8\) configuration absorbs light, it shows a characteristic green or blue color. Similarly,\( \mathrm{Ti}^{3+} \), with its one electron in the d-shell, tends to show a purple hue due to its specific absorption pattern.
Colorlessness, as seen in \( \mathrm{Zn}^{2+} \), stems from the absent d-d transitions due to a fully filled 3d subshell hindering the capacity to alter electron energy levels. Thus, the absence of light absorption in the visible spectrum results in a clear, colorless presentation.
Key points influencing ion color include:- The presence of unpaired electrons in the d-orbitals.- The specific wavelengths absorbed by the particular electron transitions.When \(\mathrm{Ni}^{2+} \) with its \(3d^8\) configuration absorbs light, it shows a characteristic green or blue color. Similarly,\( \mathrm{Ti}^{3+} \), with its one electron in the d-shell, tends to show a purple hue due to its specific absorption pattern.
Colorlessness, as seen in \( \mathrm{Zn}^{2+} \), stems from the absent d-d transitions due to a fully filled 3d subshell hindering the capacity to alter electron energy levels. Thus, the absence of light absorption in the visible spectrum results in a clear, colorless presentation.
Electron Configuration Analysis
Performing an electron configuration analysis is essential to predict the behavior and properties of ions. Here’s a simplified approach for determining configurations and understanding their implications.1. **Identify the neutral atom's electron configuration:**- Consider zinc (Zn) with an atomic number of 30: \([ \text{Ar} ] 3d^{10} 4s^2 \)
2. **Determine the charge and resulting configuration of the ion:**- For \( \mathrm{Zn}^{2+} \): Removing two electrons results in \( [ \text{Ar} ] 3d^{10} \)
3. **Analyze the impact of electron arrangements:**- Unpaired electrons facilitate d-d transitions, allowing vibrant colors in aqueous solutions.- The absence of partially filled d-orbitals, as in \( \mathrm{Zn}^{2+} \), eliminates these transitions, leading to colorlessness.
Understanding electron configurations enables predictions about color, chemical reactivity, and magnetic properties of transition metal ions.
2. **Determine the charge and resulting configuration of the ion:**- For \( \mathrm{Zn}^{2+} \): Removing two electrons results in \( [ \text{Ar} ] 3d^{10} \)
3. **Analyze the impact of electron arrangements:**- Unpaired electrons facilitate d-d transitions, allowing vibrant colors in aqueous solutions.- The absence of partially filled d-orbitals, as in \( \mathrm{Zn}^{2+} \), eliminates these transitions, leading to colorlessness.
Understanding electron configurations enables predictions about color, chemical reactivity, and magnetic properties of transition metal ions.