Chapter 8: Problem 36
The oxidation number of cobalt in \(\mathrm{K}_{3}\left[\mathrm{Co}\left(\mathrm{NO}_{2}\right)_{6}\right]\) is: (a) \(-3\) (b) \(+3\) (c) \(-4\) (d) \(+4\)
Short Answer
Expert verified
The oxidation number of cobalt in \(\mathrm{K}_3\left[\mathrm{Co}\left(\mathrm{NO}_2\right)_6\right]\) is +3.
Step by step solution
01
Understanding the Compound
We need to determine the oxidation number of cobalt in the complex ion \(\mathrm{Co\left(NO_2\right)_6}^{3-}\) which is a part of the compound \(\mathrm{K}_3\left[\mathrm{Co}\left(\mathrm{NO}_2\right)_6\right]\). Potassium (K) has a +1 oxidation state. There are 3 potassium ions, contributing +3 charge in total.
02
Determining the Charge of the Complex Ion
Since the compound is neutral, the charge of the complex ion must balance the charge from the potassium ions. The complex ion has a charge of -3 because there are 3 potassium ions, each with a +1 charge.
03
Identifying Oxidation Number of Nitrite Ligands
Nitrite (\(\mathrm{NO_2}^-\)) is a ligand with a -1 charge. Since there are six nitrite ligands in the complex, their total contribution to the charge is -6.
04
Calculating the Oxidation Number of Cobalt
Let the oxidation number of cobalt be x. The total charge of the complex ion is the sum of charges of cobalt and the six nitrite ligands: \(x + 6(-1) = -3\).
05
Solving the Equation
Solve for x: \(x - 6 = -3\) or \(x = -3 + 6\) which gives \(x = +3\). This means the oxidation number of cobalt is +3.
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Key Concepts
These are the key concepts you need to understand to accurately answer the question.
Coordination Compounds
Coordination compounds are a class of substances with unique chemical structures consisting of a central metal atom or ion bonded to a group of molecules or anions, termed 'ligands'. These ligands can donate pairs of electrons to the metal, forming coordinate covalent bonds. Such compounds are prevalent in biochemistry and inorganic chemistry and have extensive applications, ranging from catalysis to medicinal chemistry.
In coordination chemistry, it is essential to recognize the charge and coordination number of the central ion, as well as the nature and charge of the ligands, to deduce the overall charge and properties of the compound. The oxidation state of the central metal ion can affect the compound's color, magnetism, and reactivity. An example is the potassium hexanitritocobaltate(III) \(\mathrm{K}_3[\mathrm{Co}(\mathrm{NO}_2)_6]\), where cobalt acts as the central metal ion surrounded by ligands.
In coordination chemistry, it is essential to recognize the charge and coordination number of the central ion, as well as the nature and charge of the ligands, to deduce the overall charge and properties of the compound. The oxidation state of the central metal ion can affect the compound's color, magnetism, and reactivity. An example is the potassium hexanitritocobaltate(III) \(\mathrm{K}_3[\mathrm{Co}(\mathrm{NO}_2)_6]\), where cobalt acts as the central metal ion surrounded by ligands.
Redox Chemistry
Redox chemistry deals with the oxidation and reduction processes whereby atoms undergo changes in their oxidation state through the transfer of electrons. Oxidation pertains to the loss of electrons, while reduction refers to the gain of electrons. This dual nature of redox reactions is pivotal in explaining various chemical phenomena, including the functioning of batteries, corrosion, and metabolic processes in living organisms.
Understanding how to calculate oxidation states is crucial for predicting the outcome of redox reactions. As seen in the exercise, finding the oxidation number involves recognizing that the total charge in a neutral compound sums to zero, and in an ion, it equals the ion's charge. By considering the known oxidation states of certain elements and the overall charge, you can deduce the unknown oxidation state, as done for cobalt in the compound in question.
Understanding how to calculate oxidation states is crucial for predicting the outcome of redox reactions. As seen in the exercise, finding the oxidation number involves recognizing that the total charge in a neutral compound sums to zero, and in an ion, it equals the ion's charge. By considering the known oxidation states of certain elements and the overall charge, you can deduce the unknown oxidation state, as done for cobalt in the compound in question.