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Which among the following paramagnetic pairs rare? (1) \(\left[\mathrm{BaO}_{2}, \mathrm{NO}_{2}\right]\) (2) \(\left[\mathrm{KO}_{2}, \mathrm{NO}\right]\) (3) \(\left[\mathrm{H}_{2} \mathrm{O}_{2}, \mathrm{NO}\right]\) (4) \(\left[\mathrm{K}_{3} \mathrm{Fe}(\mathrm{CN})_{6}, \mathrm{CuCl}_{2}\right]\) (a) 3,4 only (b) 1,3 only (c) 2,4 only (d) \(1,2,4\)

Short Answer

Expert verified
Option (c) 2,4 only: KO鈧 and NO are paramagnetic.

Step by step solution

01

Understand Paramagnetism

Paramagnetism occurs in substances that have unpaired electrons, leading to a magnetic moment. Diamagnetic substances do not have unpaired electrons and therefore are not attracted to magnets.
02

Analyze [BaO鈧俔

BaO鈧 (Barium Peroxide): In BaO鈧, barium is in the oxidation state of +2 and each oxygen atom is in the peroxide state (-1). Both ions do not have unpaired electrons, so it is diamagnetic.
03

Analyze [NO鈧俔

NO鈧 (Nitrogen Dioxide): The nitrogen atom has an unpaired electron, making NO鈧 paramagnetic.
04

Analyze [KO鈧俔

KO鈧 (Potassium Superoxide): Superoxides like KO鈧 have an unpaired electron, making KO鈧 paramagnetic.
05

Analyze [NO]

NO (Nitric Oxide): NO has an unpaired electron, which makes it paramagnetic.
06

Analyze [H鈧侽鈧俔

H鈧侽鈧 (Hydrogen Peroxide): This molecule is characterized by all paired electrons, so it is diamagnetic.
07

Analyze [K鈧僃e(CN)鈧哴

K鈧僃e(CN)鈧 (Potassium Ferricyanide): In this complex, iron is in the +3 oxidation state in a low-spin configuration due to the strong field ligand cyanide, resulting in no unpaired electrons. Therefore, it is diamagnetic.
08

Analyze [CuCl鈧俔

CuCl鈧 (Copper(II) Chloride): Copper in CuCl鈧 is in the +2 oxidation state and typically has one unpaired electron, making it paramagnetic.
09

Identify Paramagnetic Pairs

From the analysis: - Pair 1 (BaO鈧, NO鈧): Only NO鈧 is paramagnetic. - Pair 2 (KO鈧, NO): Both are paramagnetic. - Pair 3 (H鈧侽鈧, NO): Only NO is paramagnetic. - Pair 4 (K鈧僃e(CN)鈧, CuCl鈧): Only CuCl鈧 is paramagnetic. Thus, pair 2 contains both paramagnetic compounds.

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Key Concepts

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

Unpaired Electrons
Unpaired electrons are electrons that do not have a partner of opposite spin in an atom or molecule. These lonely electrons exist in orbitals that are either half-filled or are in odd numbers.
  • When electrons are paired, they share the same orbital and tend to cancel out each other's magnetic effects due to their opposite spins.
  • Unpaired electrons are responsible for the magnetic properties of a substance. The presence of these electrons means the material can be attracted to a magnetic field.
When analyzing compounds for unpaired electrons, it is typically done by looking at the electron configuration of the central atom or by considering molecular geometry. Notably, molecules with unpaired electrons are termed paramagnetic, as they display magnetic behavior when an external magnetic field is applied.
Magnetic Properties
The magnetic properties of a substance depend largely on the presence or absence of unpaired electrons. Let's break this down: - **Paramagnetism** occurs when there is at least one unpaired electron in an atom or molecule, making it attracted to a magnetic field. These materials are only magnetized in the presence of an external field. - **Diamagnetism** is the opposite; these materials consist of only paired electrons and are weakly repelled by a magnetic field. They don't retain magnetization in the absence of an external magnetic field. Substances like nitrogen dioxide (NO鈧) and nitric oxide (NO) are paramagnetic because they have unpaired electrons, making them attracted to magnetic fields. In contrast, compounds like hydrogen peroxide (H鈧侽鈧) have all paired electrons, rendering them diamagnetic.
Chemical Bonding
Chemical bonding is the force that holds atoms together in molecules. Understanding this is crucial when considering how electrons are paired or unpaired:
  • Bonds form when atoms share or transfer electrons, achieving a stable electron configuration. This often involves filling or emptying outer electron shells.
  • In covalent bonds, electrons are shared between atoms, while in ionic bonds, electrons are transferred from one atom to another.
The nature of chemical bonds affects the electron configuration of molecules and the presence of unpaired electrons. For instance, in compounds like KO鈧, the superoxide ion (O鈧傗伝) contains an extra electron not paired, contributing to its paramagnetic character. Conversely, bonds in K鈧僃e(CN)鈧 involve strong ligand field stabilization, which results in no unpaired electrons for the iron atom.
Oxidation States
Oxidation states are a way of keeping track of electron distribution in an atom within a molecule or ion. It signifies the number of electrons lost, gained, or shared during chemical reactions. - When calculating the oxidation state, shared electrons are usually assigned to the more electronegative atom in a bond. - An increase in oxidation state means loss of electrons (oxidation), while a decrease indicates gain of electrons (reduction). In our analysis, K鈧僃e(CN)鈧 is an example where the iron is in the +3 oxidation state, which significantly influences its electron configuration. The high oxidation state and the strong field provided by the cyanide ions make it a low-spin complex, with all electrons paired, hence making it diamagnetic. On the flip side, CuCl鈧 has copper in a +2 oxidation state where typically there is one unpaired electron, resulting in paramagnetism.

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