/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Problem 52 Write the full electron configur... [FREE SOLUTION] | 91影视

91影视

Write the full electron configuration \(\left(1 s^{2} 2 s^{2}, \text { etc. }\right)\) for each of the following elements. a. potassium, \(Z=19\) b. chlorine, \(Z=17\) c. magnesium, \(Z=12\) d. carbon, \(Z=6\)

Short Answer

Expert verified
a. Potassium (Z=19): \(1s^{2}2s^{2}2p^{6}3s^{2}3p^{6}4s^{1}\) b. Chlorine (Z=17): \(1s^{2}2s^{2}2p^{6}3s^{2}3p^{5}\) c. Magnesium (Z=12): \(1s^{2}2s^{2}2p^{6}3s^{2}\) d. Carbon (Z=6): \(1s^{2}2s^{2}2p^{2}\)

Step by step solution

01

Potassium (Z=19)

As potassium has an atomic number (Z) of 19, it has 19 electrons. We fill the orbitals referring to the periodic table: 1. 1s orbital can hold 2 electrons, so it is filled first as 1s虏. 2. Then, 2s orbital is filled, which can hold 2 electrons. The configuration now is 1s虏2s虏. 3. After that, the 2p orbital is filled, which can hold 6 electrons. The configuration becomes 1s虏2s虏2p鈦. 4. Next, the 3s orbital is filled with 2 electrons, and the configuration is now 1s虏2s虏2p鈦3s虏. 5. The 3p orbital is filled with 6 electrons. The configuration becomes 1s虏2s虏2p鈦3s虏3p鈦. 6. Finally, we fill the 4s orbital with 1 electron, as we have only one electron left. The overall electron configuration for potassium (Z=19) is \(1s^{2}2s^{2}2p^{6}3s^{2}3p^{6}4s^{1}\).
02

Chlorine (Z=17)

For chlorine with an atomic number (Z) of 17, there are 17 electrons. Following the Aufbau principle and filling the orbitals: 1. 1s虏 2. 1s虏2s虏 3. 1s虏2s虏2p鈦 4. 1s虏2s虏2p鈦3s虏 5. 1s虏2s虏2p鈦3s虏3p鈦 (last 5 electrons are filled in the 3p orbital) So, the electron configuration for chlorine (Z=17) is \(1s^{2}2s^{2}2p^{6}3s^{2}3p^{5}\).
03

Magnesium (Z=12)

Magnesium has an atomic number (Z) of 12, with 12 electrons. Filling the orbitals: 1. 1s虏 2. 1s虏2s虏 3. 1s虏2s虏2p鈦 4. 1s虏2s虏2p鈦3s虏 (last two electrons are filled in the 3s orbital) The electron configuration for magnesium (Z=12) is \(1s^{2}2s^{2}2p^{6}3s^{2}\).
04

Carbon (Z=6)

Carbon has an atomic number (Z) of 6, with 6 electrons. Filling the orbitals: 1. 1s虏 2. 1s虏2s虏 3. 1s虏2s虏2p虏 (last two electrons are filled in the 2p orbital) The electron configuration for carbon (Z=6) is \(1s^{2}2s^{2}2p^{2}\).

Unlock Step-by-Step Solutions & Ace Your Exams!

  • Full Textbook Solutions

    Get detailed explanations and key concepts

  • Unlimited Al creation

    Al flashcards, explanations, exams and more...

  • Ads-free access

    To over 500 millions flashcards

  • Money-back guarantee

    We refund you if you fail your exam.

Over 30 million students worldwide already upgrade their learning with 91影视!

Key Concepts

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

Aufbau Principle
Understanding the Aufbau principle is essential when determining the electron configuration of an element. This principle, which means 'building up' in German, refers to the sequence in which electrons populate atomic orbitals. Electrons are not simply scattered around the atom; they follow a specific filling order that minimizes the energy of the atom.

According to the Aufbau principle, electrons fill the lowest energy levels first before moving to higher levels. For instance, the 1s orbital, being the closest to the nucleus, has the lowest energy and is filled first, followed by 2s, 2p, 3s, and so on. This pattern of filling is crucial for predicting and explaining the chemical properties of elements. It helps us understand why elements in the same column of the periodic table have similar chemical characteristics鈥攖hey have the same valence electron configuration.
Atomic Number
The atomic number, symbolized as 'Z', is a fundamental property of an element that tells us the number of protons found in the nucleus of an atom. This number also equals the number of electrons in a neutral atom, as the positive charge of the protons is balanced by the negative charge of the electrons. Consequently, the atomic number dictates the chemical behavior of the element.

For example, carbon with an atomic number of 6 has six electrons to place in orbitals according to the Aufbau principle. Potassium, on the other hand, with an atomic number of 19, has 19 electrons to distribute. The atomic number thus directly influences the electron configuration which, in turn, affects how an element will interact with other atoms and form compounds.
Orbital Filling Order
Orbital filling order is the sequence followed by electrons when they are arranged into orbitals. This sequence is determined by the relative energies of the orbitals, and it can be remembered through various mnemonics and diagrams, such as the often-used 'aufbau diagram'. Following the Aufbau principle, the sequence in which orbitals are filled is usually: 1s, 2s, 2p, 3s, 3p, 4s, 3d, 4p, and so on.

Within each type of orbital (s, p, d, f), there are a set number of orbital spaces that can be filled with up to two electrons each. The s orbitals can hold 2 electrons, p orbitals can hold 6, d orbitals can hold 10, and f orbitals can hold 14. The order of filling is crucial in predicting the electron configurations for elements and plays a significant role in chemical reactions and bonding.

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Study anywhere. Anytime. Across all devices.