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Give the ground-state electron configurations of (a) C, (b) F, (c) \(\mathrm{Ca},(\mathrm{d}) \mathrm{Ga}^{3+},(\mathrm{e}) \mathrm{Bi},(\mathrm{f}) \mathrm{Pb}^{2+}\)

Short Answer

Expert verified
C: 1s虏 2s虏 2p虏; F: 1s虏 2s虏 2p鈦; Ca: 1s虏 2s虏 2p鈦 3s虏 3p鈦 4s虏; Ga鲁鈦: 1s虏 2s虏 2p鈦 3s虏 3p鈦 3d鹿鈦; Bi: 1s虏 2s虏 2p鈦 3s虏 3p鈦 4s虏 3d鹿鈦 4p鈦 5s虏 4d鹿鈦 5p鈦 6s虏 4f鹿鈦 5d鹿鈦 6p鲁; Pb虏鈦: 1s虏 2s虏 2p鈦 3s虏 3p鈦 4s虏 3d鹿鈦 4p鈦 5s虏 4d鹿鈦 5p鈦 6s虏 4f鹿鈦 5d鹿鈦 6p虏.

Step by step solution

01

Recall the Order of Filling Orbitals

To solve this problem, you need to understand the order in which electrons fill orbitals. The order follows the Aufbau principle which is: 1s, 2s, 2p, 3s, 3p, 4s, 3d, 4p, 5s, 4d, 5p, 6s, 4f, 5d, 6p, 7s, 5f, 6d, 7p.
02

Determine the Electron Configuration of Carbon (C)

Carbon has 6 electrons. According to the Aufbau principle, start by filling the 1s orbital: 1s虏 2s虏 2p虏. Thus, the electron configuration of C is 1s虏 2s虏 2p虏.
03

Determine the Electron Configuration of Fluorine (F)

Fluorine has 9 electrons. Fill the orbitals following the order: 1s虏 2s虏 2p鈦. The electron configuration of F is 1s虏 2s虏 2p鈦.
04

Determine the Electron Configuration of Calcium (Ca)

Calcium has 20 electrons. Follow the order to fill the orbitals: 1s虏 2s虏 2p鈦 3s虏 3p鈦 4s虏. Therefore, the electron configuration of Ca is 1s虏 2s虏 2p鈦 3s虏 3p鈦 4s虏.
05

Determine the Electron Configuration of Gallium Ion (Ga鲁鈦)

Gallium in a neutral state has 31 electrons, but Ga鲁鈦 indicates it has lost 3 electrons and thus has 28 electrons. Fill the orbitals: 1s虏 2s虏 2p鈦 3s虏 3p鈦 3d鹿鈦 4s虏. Hence, Ga鲁鈦 has the configuration 1s虏 2s虏 2p鈦 3s虏 3p鈦 3d鹿鈦.
06

Determine the Electron Configuration of Bismuth (Bi)

Bismuth has 83 electrons. Follow the filling order up to Bi: 1s虏 2s虏 2p鈦 3s虏 3p鈦 4s虏 3d鹿鈦 4p鈦 5s虏 4d鹿鈦 5p鈦 6s虏 4f鹿鈦 5d鹿鈦 6p鲁. So, Bi has the configuration 1s虏 2s虏 2p鈦 3s虏 3p鈦 4s虏 3d鹿鈦 4p鈦 5s虏 4d鹿鈦 5p鈦 6s虏 4f鹿鈦 5d鹿鈦 6p鲁.
07

Determine the Electron Configuration of Lead Ion (Pb虏鈦)

Lead in the neutral state has 82 electrons. Pb虏鈦 means it lost 2 electrons, leaving 80 electrons. The configuration is: 1s虏 2s虏 2p鈦 3s虏 3p鈦 4s虏 3d鹿鈦 4p鈦 5s虏 4d鹿鈦 5p鈦 6s虏 4f鹿鈦 5d鹿鈦 6p虏. Thus, Pb虏鈦 is 1s虏 2s虏 2p鈦 3s虏 3p鈦 4s虏 3d鹿鈦 4p鈦 5s虏 4d鹿鈦 5p鈦 6s虏 4f鹿鈦 5d鹿鈦 6p虏.

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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 fundamental concept in chemistry that explains how electrons populate orbitals in an atom. According to this principle, electrons enter orbitals starting from the lowest energy level and move to higher levels. This process ensures that the atom is in its most stable (or ground-state) energy configuration. When filling orbitals, electrons follow a specific order known as the 'orbital filling order'. This order is based on the relative energies of the orbitals and is typically represented as: 1s, 2s, 2p, 3s, 3p, 4s, 3d, 4p, 5s, 4d, 5p, 6s, 4f, 5d, 6p, 7s, 5f, 6d, 7p.
Understanding the Aufbau principle helps chemists predict how an element might behave during chemical reactions. This principle is expressed using the Pauli exclusion principle and Hund's rule, which are essential for determining the correct electron configurations.
ground-state electron configurations
Ground-state electron configurations are a way to describe the arrangement of electrons in an atom's orbitals when the atom is most stable. In this configuration, electrons are arranged according to the lowest energy level they can fill, adhering to the Aufbau principle.
  • Electrons fill from lower to higher energy orbitals, ensuring the atom remains in its ground state.
  • An electron configuration also reflects the total number of electrons present in an atom or ion.
When atoms have many electrons, like heavy elements or ions, determining their ground-state electron configurations can become complex. For ions such as Ga鲁鈦, the process requires accounting for the removal of electrons, which adjusts the configuration accordingly.
Getting comfortable with electron configurations allows for a deeper understanding of an element's chemical properties and reactivity.
orbital filling order
The orbital filling order is the sequence in which electrons are added to the atomic orbitals. This order is determined by the energy levels of the orbitals. Lower energy orbitals fill before higher energy ones.
The specific order is: 1s, 2s, 2p, 3s, 3p, 4s, 3d, 4p, 5s, 4d, 5p, 6s, 4f, 5d, 6p, 7s, 5f, 6d, 7p. This sequence is based on the increasing energy of each orbital.
Typical questions students encounter involve determining the electron configuration of an element using this order. Writing electron configurations might seem daunting initially, but once one practices the order and understands how it relates to the Aufbau principle, the task becomes routine. Recognizing the nuances in electron filling can illuminate why transition metals, for example, often have unique chemistry.
electron configuration examples
Let's explore some practical examples to see how electron configurations work in reality. For carbon (C), which has 6 electrons, the configuration is: 1s虏 2s虏 2p虏.
Fluorine (F), with 9 electrons, is configured as 1s虏 2s虏 2p鈦, filling until the 2p orbital almost completely. With Calcium (Ca) having 20 electrons, you end up filling up to the 4s level with 1s虏 2s虏 2p鈦 3s虏 3p鈦 4s虏.
For ions, it becomes even more interesting. Gallium ion (Ga鲁鈦) has 28 electrons after losing three electrons. Consequently, its configuration transforms to 1s虏 2s虏 2p鈦 3s虏 3p鈦 3d鹿鈦 4s虏. In contrast, Bismuth (Bi) boasts 83 electrons, filling up to the 6p orbital: 1s虏 2s虏 2p鈦 3s虏 3p鈦 4s虏 3d鹿鈦 4p鈦 5s虏 4d鹿鈦 5p鈦 6s虏 4f鹿鈦 5d鹿鈦 6p鲁.
By examining these examples, we can appreciate how the orbital filling rules and the Aufbau principle combine to define the electronic characteristics of different elements and ions.

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