Chapter 23: Problem 10
Using the periodic table to locate each element, write the electron configuration of (a) \(\mathrm{V} ;\) (b) \(\mathrm{Y} ;\) (c) \(\mathrm{Hg}\).
Short Answer
Expert verified
(a) \([Ar] 4s^2 3d^3\) (b) \([Kr] 5s^2 4d^1\) (c) \([Xe] 4f^{14} 5d^{10} 6s^2\).
Step by step solution
01
- Locate Vanadium (V) on the Periodic Table
Vanadium (V) is located in period 4, group 5 of the periodic table. Its atomic number is 23, meaning it has 23 electrons.
02
- Write Electron Configuration for Vanadium
Start filling electrons in the orbitals based on the Aufbau principle: \(1s^2, 2s^2, 2p^6, 3s^2, 3p^6, 4s^2, 3d^3\). So the electron configuration of Vanadium (V) is \([Ar] 4s^2 3d^3\).
03
- Locate Yttrium (Y) on the Periodic Table
Yttrium (Y) is located in period 5, group 3 of the periodic table. Its atomic number is 39, meaning it has 39 electrons.
04
- Write Electron Configuration for Yttrium
Start filling electrons in the orbitals based on the Aufbau principle: \(1s^2, 2s^2, 2p^6, 3s^2, 3p^6, 4s^2, 3d^{10}, 4p^6, 5s^2, 4d^1\). So the electron configuration of Yttrium (Y) is \([Kr] 5s^2 4d^1\).
05
- Locate Mercury (Hg) on the Periodic Table
Mercury (Hg) is located in period 6, group 12 of the periodic table. Its atomic number is 80, meaning it has 80 electrons.
06
- Write Electron Configuration for Mercury
Start filling electrons in the orbitals based on the Aufbau principle: \(1s^2, 2s^2, 2p^6, 3s^2, 3p^6, 4s^2, 3d^{10}, 4p^6, 5s^2, 4d^{10}, 5p^6, 6s^2, 4f^{14}, 5d^{10}\). So the electron configuration of Mercury (Hg) is \([Xe] 4f^{14} 5d^{10} 6s^2\).
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Key Concepts
These are the key concepts you need to understand to accurately answer the question.
Aufbau Principle
The Aufbau principle is a rule used to determine the electron configuration of an atom. It states that electrons fill orbitals starting from the lowest energy level to the highest. This means that electrons will start filling the 1s orbital before moving to the 2s orbital and so on.
The order in which orbitals are filled is not always straightforward because some orbitals overlap in energy levels. For example, the 4s orbital is filled before the 3d orbital. Remember, electrons always occupy the lowest available energy orbital, moving upwards as they fill up.
The order in which orbitals are filled is not always straightforward because some orbitals overlap in energy levels. For example, the 4s orbital is filled before the 3d orbital. Remember, electrons always occupy the lowest available energy orbital, moving upwards as they fill up.
- Lowest energy orbitals are filled first
- Electrons occupy orbitals in a way that minimizes the energy of the atom
- Order of orbitals: 1s, 2s, 2p, 3s, 3p, 4s, 3d, etc.
Periodic Table
The periodic table is an essential tool for understanding the properties and the electron configurations of elements. By knowing an element's location on the periodic table, you can determine its atomic number, its electron configuration, and its chemical properties.
Each element is positioned in a specific column called a 'group', and a row called a 'period'. Group numbers help predict the number of valence electrons, which in turn determine the chemical reactivity of the element. Period numbers indicate the energy levels that are being filled. For example, elements in the fourth period have electrons filling up to the 4th energy level.
Each element is positioned in a specific column called a 'group', and a row called a 'period'. Group numbers help predict the number of valence electrons, which in turn determine the chemical reactivity of the element. Period numbers indicate the energy levels that are being filled. For example, elements in the fourth period have electrons filling up to the 4th energy level.
- Group: Vertical columns (elements with similar properties)
- Period: Horizontal rows (indicates the highest energy level being filled)
- Key to find atomic number and electron configuration
Atomic Number
The atomic number of an element is a critical piece of information when determining its electron configuration. It represents the number of protons in an atom's nucleus and, for neutral atoms, it also equals the number of electrons.
The atomic number increases as you move from left to right on the periodic table. Elements are arranged in ascending order of their atomic numbers. This number essentially tells us how many electrons need to be assigned to an element's orbitals following the Aufbau principle.
The atomic number increases as you move from left to right on the periodic table. Elements are arranged in ascending order of their atomic numbers. This number essentially tells us how many electrons need to be assigned to an element's orbitals following the Aufbau principle.
- Represents number of protons and electrons in a neutral atom
- Increases from left to right across the periodic table
- Important for writing correct electron configurations
Orbitals
Orbitals are regions around an atom's nucleus where electrons are likely to be found. These are essential for understanding the organization of electrons within an atom. Each type of orbital has a different shape and can hold a specific number of electrons: s-orbitals hold 2, p-orbitals hold 6, d-orbitals hold 10, and f-orbitals hold 14 electrons.
Orbitals are filled in a specific sequence dictated by their energy levels, thanks to the Aufbau principle. The shapes and orientations of orbitals also determine how atoms interact when forming chemical bonds.
Orbitals are filled in a specific sequence dictated by their energy levels, thanks to the Aufbau principle. The shapes and orientations of orbitals also determine how atoms interact when forming chemical bonds.
- s-orbital: Spherical shape, holds 2 electrons
- p-orbital: Dumbbell shape, holds 6 electrons
- d-orbital: Complex shape, holds 10 electrons
- f-orbital: Even more complex shape, holds 14 electrons