Chapter 8: Problem 59
Write an orbital diagram for the ground state of the potassium atom. Is the atomic substance diamagnetic or paramagnetic?
Short Answer
Expert verified
Potassium is paramagnetic due to the unpaired electron in the 4s orbital.
Step by step solution
01
Determine the Atomic Number of Potassium
The atomic number of potassium (K) is 19, which means it has 19 electrons in its atomic structure.
02
Write the Electron Configuration
The electron configuration for potassium is determined based on the order of filling of atomic orbitals:
1. Start with the 1s orbital: 1s虏
2. Move to the 2s orbital: 2s虏
3. Then fill the 2p orbitals: 2p鈦
4. Proceed to the 3s orbital: 3s虏
5. Fill the 3p orbitals: 3p鈦
6. Finally, fill the 4s orbital: 4s鹿.
Thus, the electron configuration for potassium is: 1s虏 2s虏 2p鈦 3s虏 3p鈦 4s鹿.
03
Draw the Orbital Diagram
An orbital diagram illustrates each electron's spin in an atom orbitally.
1. The 1s orbital is filled with 2 electrons (鈫戔啌).
2. The 2s orbital is filled with 2 electrons (鈫戔啌).
3. The 2p orbitals are filled with 6 electrons (鈫戔啌, 鈫戔啌, 鈫戔啌).
4. The 3s orbital is filled with 2 electrons (鈫戔啌).
5. The 3p orbitals are filled with 6 electrons (鈫戔啌, 鈫戔啌, 鈫戔啌).
6. The last is the 4s orbital, which contains 1 electron (鈫).
Thus, the orbital diagram is:
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
4s: 鈫
04
Determine the Magnetic Property
The magnetic property of an atom is determined by the presence of unpaired electrons:
1. In the orbital diagram for potassium, the 4s orbital has only one electron, which indicates an unpaired electron.
2. Because of this unpaired electron, potassium is considered paramagnetic.
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Key Concepts
These are the key concepts you need to understand to accurately answer the question.
Electrons
Electrons are the negatively charged particles of an atom. They are found in orbitals around the nucleus, which contains protons and neutrons. Electrons dictate many properties of an element, such as how it bonds with other elements and its place within the periodic table.
For an atom to remain neutral, it must have the same number of electrons as protons. These electrons are distributed in different energy levels or shells, with each shell having a certain capacity for electrons. Lower energy levels are filled first according to the Aufbau principle. Electrons in an atom such as potassium, with 19 total electrons, will occupy the available orbitals from lowest to highest energy.
For an atom to remain neutral, it must have the same number of electrons as protons. These electrons are distributed in different energy levels or shells, with each shell having a certain capacity for electrons. Lower energy levels are filled first according to the Aufbau principle. Electrons in an atom such as potassium, with 19 total electrons, will occupy the available orbitals from lowest to highest energy.
Potassium Atom
The potassium atom, symbolized as \(K\), is an essential element found in nature and plays significant roles in both biology and industrial applications. With an atomic number of 19, a potassium atom has 19 electrons. To understand its electron configuration, an examination of its electron arrangement across different atomic orbitals is necessary.
The electron configuration states how electrons are distributed among the atom's orbitals. For potassium, its configuration is
The electron configuration states how electrons are distributed among the atom's orbitals. For potassium, its configuration is
- 1s虏 2s虏 2p鈦 3s虏 3p鈦 4s鹿
Paramagnetic
The term "paramagnetic" refers to substances that have one or more unpaired electrons in their atomic or molecular structure, which align with an external magnetic field. This means that paramagnetic substances are weakly attracted to a magnet.
In the case of potassium, its outermost electron in the 4s orbital is unpaired, which makes it paramagnetic. Unpaired electrons have magnetic dipoles that are not canceled out, allowing them to interact with external magnetic fields. This is in contrast to diamagnetic substances, which have all electrons paired and are generally not attracted to magnetic fields.
In the case of potassium, its outermost electron in the 4s orbital is unpaired, which makes it paramagnetic. Unpaired electrons have magnetic dipoles that are not canceled out, allowing them to interact with external magnetic fields. This is in contrast to diamagnetic substances, which have all electrons paired and are generally not attracted to magnetic fields.
Atomic Orbitals
Atomic orbitals are regions within an atom where electrons have a high probability of being found. Each orbital can hold a maximum of two electrons with opposite spins. Orbitals come in various shapes and sizes, and they are grouped into different subshells denoted as \(s\), \(p\), \(d\), and \(f\).
- \(s\) orbitals are spherical and can hold 2 electrons.
- \(p\) orbitals are dumbbell-shaped and can hold a total of 6 electrons across three orbitals (\(p_x, p_y, p_z\)).
- Higher energy orbitals \(d\) and \(f\) can hold more electrons but are not occupied in a ground state potassium atom.