Chapter 8: Problem 11
Using orbital box diagrams, depict an electron configuration for each of the following ions: (a) \(\mathrm{Mg}^{2+},\) (b) \(\mathrm{K}^{+}\) (c) \(\mathrm{Cl}^{-},\) and \((\mathrm{d}) \mathrm{O}^{2-}\).
Short Answer
Expert verified
Remove/adjust electrons as per ion charge, depict with orbital diagrams.
Step by step solution
01
Determine the Electron Configuration of the Neutral Atom
Before dealing with the ions, we first need to know the electron configuration of the neutral atoms.
- Magnesium (Mg) has an atomic number of 12, which means its electron configuration is
1s虏 2s虏 2p鈦 3s虏.
- Potassium (K) has an atomic number of 19, leading to an electron configuration of
1s虏 2s虏 2p鈦 3s虏 3p鈦 4s鹿.
- Chlorine (Cl) has an atomic number of 17, with an electron configuration of
1s虏 2s虏 2p鈦 3s虏 3p鈦.
- Oxygen (O) has an atomic number of 8, with an electron configuration of
1s虏 2s虏 2p鈦.
Thus, we know the configurations for the neutral atoms.
02
Adjust Electron Configurations for Ions
For each ion, adjust the electron configuration by adding or removing electrons according to the charge of the ion:
- **Mg虏鈦**: Remove 2 electrons from Mg, which would be from the outermost shell (3s). New configuration: 1s虏 2s虏 2p鈦.
- **K鈦**: Remove 1 electron from K, from the outermost shell (4s). New configuration: 1s虏 2s虏 2p鈦 3s虏 3p鈦.
- **Cl鈦**: Add 1 electron to Cl, filling the 3p subshell. New configuration: 1s虏 2s虏 2p鈦 3s虏 3p鈦.
- **O虏鈦**: Add 2 electrons to O, filling the 2p subshell. New configuration: 1s虏 2s虏 2p鈦.
03
Draw the Orbital Box Diagrams
The orbital box diagrams are visual representations of the electron configurations within specific subshells:
- **Mg虏鈦**:
- [1s] 鈫戔啌 [2s] 鈫戔啌 [2p] 鈫戔啌 鈫戔啌 鈫戔啌
- **K鈦**:
- [1s] 鈫戔啌 [2s] 鈫戔啌 [2p] 鈫戔啌 鈫戔啌 鈫戔啌 [3s] 鈫戔啌 [3p] 鈫戔啌 鈫戔啌 鈫戔啌
- **Cl鈦**:
- [1s] 鈫戔啌 [2s] 鈫戔啌 [2p] 鈫戔啌 鈫戔啌 鈫戔啌 [3s] 鈫戔啌 [3p] 鈫戔啌 鈫戔啌 鈫戔啌
- **O虏鈦**:
- [1s] 鈫戔啌 [2s] 鈫戔啌 [2p] 鈫戔啌 鈫戔啌 鈫戔啌
Each box represents an orbital with a pair of arrows indicating the electrons with opposite spins.
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Key Concepts
These are the key concepts you need to understand to accurately answer the question.
Electron Configurations
Electron configurations describe how electrons are distributed in an atom's orbitals. They provide key insights into chemical properties and reactivity. Typically, we write out electron configurations using a notation method where the superscript indicates the number of electrons occupying a particular subshell. For instance, in the configuration 1s虏, '1' refers to the principal energy level, 's' is the type of orbital, and the superscript '2' denotes two electrons in that orbital.
To better understand these configurations, we often represent them with orbital diagrams. These diagrams visually display the placement of electrons in orbitals using arrows inside boxes. Each arrow signifies an electron and each box represents an orbital. Arrows are drawn in pairs to demonstrate opposite spins, conforming to the Pauli Exclusion Principle.
To better understand these configurations, we often represent them with orbital diagrams. These diagrams visually display the placement of electrons in orbitals using arrows inside boxes. Each arrow signifies an electron and each box represents an orbital. Arrows are drawn in pairs to demonstrate opposite spins, conforming to the Pauli Exclusion Principle.
Mg虏鈦 Ion
Magnesium in its neutral state has an electron configuration of 1s虏 2s虏 2p鈦 3s虏. To form a Mg虏鈦 ion, magnesium loses two electrons. These electrons are removed from the outermost shell, which is the 3s subshell.
After losing two electrons, the electron configuration of Mg虏鈦 becomes 1s虏 2s虏 2p鈦. This electron removal results in a fully filled 2p level, providing Mg虏鈦 with a stable electron arrangement similar to the noble gas neon. This process demonstrates how losing electrons affects electron configurations and leads to a more stable energy state.
After losing two electrons, the electron configuration of Mg虏鈦 becomes 1s虏 2s虏 2p鈦. This electron removal results in a fully filled 2p level, providing Mg虏鈦 with a stable electron arrangement similar to the noble gas neon. This process demonstrates how losing electrons affects electron configurations and leads to a more stable energy state.
K鈦 Ion
Potassium (K) begins with an electron configuration of 1s虏 2s虏 2p鈦 3s虏 3p鈦 4s鹿. When forming a K鈦 ion, potassium loses a single electron. This electron is removed from the 4s orbital, which is the highest energy level that contains electrons.
Thus, the electron configuration for K鈦 becomes 1s虏 2s虏 2p鈦 3s虏 3p鈦. Similar to many cations, the reduction in electron count results in a more stable electron arrangement. Achieving the configuration of an inert noble gas like argon helps potassium reach lower energy and increased stability through this ionization process.
Thus, the electron configuration for K鈦 becomes 1s虏 2s虏 2p鈦 3s虏 3p鈦. Similar to many cations, the reduction in electron count results in a more stable electron arrangement. Achieving the configuration of an inert noble gas like argon helps potassium reach lower energy and increased stability through this ionization process.
Cl鈦 Ion
Chlorine in its neutral form has an electron configuration of 1s虏 2s虏 2p鈦 3s虏 3p鈦. When forming a Cl鈦 ion, chlorine gains one additional electron. This electron is added to the 3p subshell, completing it.
The resulting electron configuration of Cl鈦 is 1s虏 2s虏 2p鈦 3s虏 3p鈦. By gaining an electron, chlorine achieves an electron configuration like argon鈥攁nother example of atoms stabilizing through electron addition to reach a noble gas electron distribution. This process highlights the balance between electron gain and achieving optimal energy stability that is common in many anions.
The resulting electron configuration of Cl鈦 is 1s虏 2s虏 2p鈦 3s虏 3p鈦. By gaining an electron, chlorine achieves an electron configuration like argon鈥攁nother example of atoms stabilizing through electron addition to reach a noble gas electron distribution. This process highlights the balance between electron gain and achieving optimal energy stability that is common in many anions.
O虏鈦 Ion
Oxygen's neutral electron configuration is 1s虏 2s虏 2p鈦. To form the oxide ion (O虏鈦), oxygen gains two electrons. These electrons are added to the 2p subshell.
After these additions, the electron configuration changes to 1s虏 2s虏 2p鈦. With a complete 2p subshell, the oxide ion achieves a stable electronic structure akin to that of neon. This complete octet configuration is energetically favorable, emphasizing how electron addition can stabilize ions by emulating the configurations of noble gases.
After these additions, the electron configuration changes to 1s虏 2s虏 2p鈦. With a complete 2p subshell, the oxide ion achieves a stable electronic structure akin to that of neon. This complete octet configuration is energetically favorable, emphasizing how electron addition can stabilize ions by emulating the configurations of noble gases.
Chemical Ions
Chemical ions are atoms that have gained or lost electrons, resulting in a net positive or negative charge. Ions are important for a wide range of chemical reactions and processes, including conductivity in solutions, biological functions, and the formation of different types of compounds.
Cations are positively charged ions, formed when an atom loses one or more electrons. Anions, on the other hand, are negatively charged and are created when atoms gain electrons. Both cations and anions will adjust their electron configurations to achieve more stable energy states, often emulating the closest noble gas configuration.
Cations are positively charged ions, formed when an atom loses one or more electrons. Anions, on the other hand, are negatively charged and are created when atoms gain electrons. Both cations and anions will adjust their electron configurations to achieve more stable energy states, often emulating the closest noble gas configuration.
Electron Removal and Addition
The processes of electron removal and addition are fundamental to understanding ion formation. When atoms lose electrons, they form cations, resulting in a decrease in energy levels or electron shells. This can lead to more stable, lower-energy configurations.
Conversely, when atoms gain electrons, they form anions. The added electrons occupy the available orbitals, often filling the outermost shell to reach an energetically favorable octet configuration.
Both actions are driven by the quest for stability, as atoms and molecules seek the least energy demanding states through these electron transfer processes. Ion formation thus plays a critical role in chemical bonding and reactivity.
Conversely, when atoms gain electrons, they form anions. The added electrons occupy the available orbitals, often filling the outermost shell to reach an energetically favorable octet configuration.
Both actions are driven by the quest for stability, as atoms and molecules seek the least energy demanding states through these electron transfer processes. Ion formation thus plays a critical role in chemical bonding and reactivity.