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Using orbital box diagrams and noble gas notation, depict the electron configurations of (a) \(\mathrm{V},\) (b) \(\mathrm{V}^{2+},\) and (c) \(\mathrm{V}^{5+} .\) Are any of the ions paramagnetic?

Short Answer

Expert verified
V and V虏鈦 are paramagnetic; V鈦碘伜 is diamagnetic.

Step by step solution

01

Identify Atomic Number and Electron Configuration of Vanadium (V)

Vanadium (V) has an atomic number of 23. It is located in group 5 of the periodic table. The electron configuration of a neutral Vanadium atom using the Aufbau principle can be written as (1s虏 2s虏 2p鈦 3s虏 3p鈦 4s虏 3d鲁). In noble gas notation, it is written as [Ar] 4s虏 3d鲁.
02

Orbital Box Diagram for V

For Vanadium, we fill the orbitals using Hund's Rule and the Pauli Exclusion Principle. The orbital box diagram can be represented as: - 4s orbital: 鈫戔啌 (completely filled) - 3d orbital: 鈫 鈫 鈫 (3 electrons singly placed) Overall Configuration: [Ar] 4s虏 3d鲁.
03

Electron Configuration of V虏鈦

Removing two electrons from the neutral Vanadium results in V虏鈦. Electrons are removed from the outermost shell first, which is usually the 4s orbital for transition metals. Therefore, the configuration is (1s虏 2s虏 2p鈦 3s虏 3p鈦 4s鈦 3d鲁), written as [Ar] 3d鲁.
04

Orbital Box Diagram for V虏鈦

For V虏鈦, we have: - 4s orbital: (empty) - 3d orbital: 鈫 鈫 鈫 (3 unpaired electrons) This indicates that V虏鈦 is paramagnetic due to unpaired electrons.
05

Electron Configuration of V鈦碘伜

Vanadium loses a total of five electrons to form V鈦碘伜. This includes all three 3d electrons and the two 4s electrons. The electron configuration becomes 1s虏 2s虏 2p鈦 3s虏 3p鈦, which is equivalent to the noble gas configuration of [Ar].
06

Orbital Box Diagram for V鈦碘伜

There are no electrons in the 4s and 3d orbitals, as they are all removed: - 4s orbital: (empty) - 3d orbital: (empty) Since no unpaired electrons remain, V鈦碘伜 is diamagnetic.
07

Determine Paramagnetism

Paramagnetism occurs when there are unpaired electrons present in the orbital configuration. Vanadium (V) and V虏鈦 both have unpaired electrons, making them paramagnetic. However, V鈦碘伜 has no unpaired electrons, making it diamagnetic.

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Key Concepts

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

Orbital Box Diagrams
Orbital box diagrams are a visual representation of electron configurations that help us understand how electrons are arranged in an atom. Each box in the diagram represents an orbital, and arrows within these boxes show electrons. We use two main principles when filling these boxes:
  • Hund's Rule: Every orbital in a subshell gets one electron before pairing begins. This is why always place single arrows (electrons) in separate boxes before starting to pair them up.
  • Pauli Exclusion Principle: Each orbital can contain a maximum of two electrons and they must have opposite spins. This is why you see arrows pointing in opposite directions when two are in one box.
In vanadium's case, the electron configuration is [Ar] 4s虏 3d鲁, which means the 4s orbital has two electrons, and three electrons in the 3d orbitals are singly occupied, so we show them as single up arrows in three separate boxes.
Noble Gas Notation
Noble gas notation is a shorthand way of writing electron configurations that makes it easier and quicker. Instead of writing out the entire list of orbitals and electrons, chemists use the nearest noble gas that comes before the element on the periodic table and write it in brackets. Noble gases, like Argon (Ar), which is used for vanadium, do not react easily with other elements because they have full electron shells. This stability is what other elements are trying to achieve through bonding. For Vanadium, instead of stating the entire electron configuration: 1s虏 2s虏 2p鈦 3s虏 3p鈦 4s虏 3d鲁, we simplify it with [Ar] 4s虏 3d鲁. This indicates that it has the same electron configuration as Argon up to the 3p鈦 level, plus two electrons in the 4s and three in the 3d orbitals.
Paramagnetism
Paramagnetism is a phenomenon that occurs in atoms or ions that have unpaired electrons. An unpaired electron provides a magnetic moment, allowing the material to be attracted to a magnetic field. For example, both neutral vanadium (V) and the ion V虏鈦 have unpaired electrons with their electron configurations:
  • Vanadium: [Ar] 4s虏 3d鲁 鈥 with three unpaired 3d electrons.
  • V虏鈦: [Ar] 3d鲁 鈥 losing two 4s electrons leaves three unpaired 3d electrons.
These unpaired electrons in the 3d orbital make both vanadium and V虏鈦 paramagnetic, allowing them to be attracted to magnets.
Transition Metals
Transition metals are elements found in groups 3 to 12 of the periodic table. A unique feature of these metals is their ability to use d orbitals for bonding. This often results in them having several oxidation states and the ability to form complex ions. Vanadium is a prime example of transition metals, able to form multiple ions such as V虏鈦 and V鈦碘伜, with configurations adjusted by losing electrons from 3d and 4s orbitals. Their characteristic behavior also ties into their appearance and the industrial skills they provide, such as producing colored compounds and acting as catalysts in reactions. This versatility comes from their d-orbital electrons that can move in different bonding situations.
Vanadium
Vanadium is a silver-grey transition metal that resides in group 5 of the periodic table and has an atomic number of 23. What makes vanadium special is its variability in forming various ions, sharing similar characteristics with other transition metals. Starting with its base form, Vanadium (V), it contains 23 electrons in the [Ar] 4s虏 3d鲁 configuration. When forming V虏鈦, it loses the two 4s electrons, rearranging to [Ar] 3d鲁, making it paramagnetic with unpaired electrons. If you strip even more electrons to form V鈦碘伜, all electrons in both 4s and 3d are removed, leaving a [Ar] bare noble gas configuration, which is diamagnetic. This loss of electrons affects its chemical behavior, allowing vanadium to be incredibly versatile in chemistry and technology applications. Whether in its metallic state or as various ions, vanadium's properties make it invaluable in steel alloys and catalytic processes.

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