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S3.1.6 Oxidation states

Oxidation States: Decoding Electron Behavior in Compounds

What is an Oxidation State?

Definition

Oxidation state

The oxidation state (or oxidation number) is a numerical value assigned to an atom in a compound. It reflects the hypothetical charge the atom would have if all bonds in the molecule were purely ionic.

  • In simpler terms, it tells us how many electrons an atom has gained, lost, or shared during bonding.

Example

  • In water (H₂O), oxygen is more electronegative than hydrogen, so it "pulls" the shared electrons closer to itself. As a result:
  • Oxygen is assigned an oxidation state of −2 (it "gains" two electrons).
  • Each hydrogen atom is assigned an oxidation state of +1 (it "loses" one electron).
  • Oxidation states are vital for understanding redox reactions, where electrons are transferred between substances.
  • They help us identify which species is oxidized (loses electrons) and which is reduced (gains electrons).

Analogy

Think of oxidation states as a financial ledger for electrons. If an atom gains electrons, it’s like receiving a deposit (negative balance). If it loses electrons, it’s like making a withdrawal (positive balance).

Conventions for Assigning Oxidation States

  1. To assign oxidation states, chemists follow a systematic set of rules.
  2. These rules ensure consistency and accuracy across different compounds.

Rule 1: Free Elements

The oxidation state of an atom in its elemental form is always 0. This applies to:

  • Single atoms like Na, O₂, or Cl₂.
  • Diatomic molecules like H₂ or N₂.

Example

In O₂(a molecule of elemental oxygen), each oxygen atom has an oxidation state of 0.

Rule 2: Sum of Oxidation States

The sum of the oxidation states of all atoms in:

  • A neutral compound is 0.
  • A polyatomic ion equals the charge of the ion.

Example

  • In H₂O, the sum is 0 : 2(+1)+(2)=0.
  • In the sulfate ion (SO₄²⁻), the sum equals −2: (+6)+4(2)=2.

Rule 3: Group-Specific Rules

Certain elements have predictable oxidation states in most of their compounds:

  • Fluorine is always −1(it’s the most electronegative element).
  • Group 1 metals (e.g., Na, K) are always +1.
  • Group 2 metals (e.g., Mg, Ca) are always +2.
  • Hydrogen is usually +1, except in metal hydrides (e.g., NaH), where it’s −1.
  • Oxygen is usually −2, except in peroxides (e.g., H₂O₂, where it’s −1) or when bonded to fluorine (e.g., OF₂, where it’s +2).

Common Mistake

Many students assume oxygen is always −2, forgetting exceptions like peroxides or compounds with fluorine.

Examples of Oxidation States in Common Compounds

Let’s apply these rules to deduce the oxidation states of atoms in some common compounds.

Example 1: Water (H₂O)

  1. Hydrogen is +1 (Rule 3).
  2. Oxygen is −2 (Rule 3).
  3. Total: 2(+1)+(2)=0.

Example 2: Hydrogen Peroxide (H₂O₂)

  1. Hydrogen is+1 (Rule 3).
  2. Oxygen is −1 (except for peroxides).
  3. Total: 2(+1)+2(1)=0.

Example 3: Nitrate Ion (NO₃⁻)

  1. Oxygen is−2 (Rule 3).
  2. Let the oxidation state of nitrogen be x.
  3. Total: x+3(2)=1.
  4. Solving for x: x=+5.

Example 4: Sulfate Ion (SO₄²⁻)

  1. Oxygen is −2 (Rule 3).
  2. Let the oxidation state of sulfur be x.
  3. Total: x+4(2)=2.
  4. Solving for x: x=+6.
Example question

Determine the oxidation state of manganese in potassium permanganate (KMnO₄)

Solution

  1. Potassium is +1 (Rule 3).
  2. Oxygen is−2 (Rule 3).
  3. Let the oxidation state of manganese be x.Total: (+1)+x+4(2)=0.
  4. Solving for x: x=+7.
  5. Thus, manganese has an oxidation state of +7 in KMnO₄.

Special Cases: Hydrogen in Metal Hydrides and Oxygen in Peroxides

Sometimes, the oxidation states of hydrogen and oxygen deviate from their usual values. These exceptions are worth noting:

  1. Hydrogen in Metal Hydrides: When hydrogen is bonded to a metal (e.g., NaH), it acts as the more electronegative element and has an oxidation state of −1.
  2. Oxygen in Peroxides: In peroxides (e.g., H₂O₂), oxygen has an oxidation state of −1 due to the oxygen-oxygen single bond.

Tip

To quickly identify peroxides, look for compounds with an oxygen-oxygen bond, such as H₂O₂ or Na₂O₂.

Why Do Oxidation States Matter?

Understanding oxidation states allows us to:

  1. Predict Redox Reactions: Oxidation states reveal which atoms are oxidized (increase in oxidation state) and which are reduced (decrease in oxidation state).
  2. Name Compounds: Oxidation states are used in naming compounds, particularly for transition metals and polyatomic ions. For example:
    • FeCl₂ is iron(II) chloride (Fe has an oxidation state of+2).
    • FeCl₃ is iron(III) chloride (Fe has an oxidation state of+3).
  3. Understand Variable Oxidation States: Transition metals often exhibit multiple oxidation states, which influence their chemical reactivity and the colors of their compounds.

Theory of Knowledge

To what extent are oxidation states a simplification of real molecular behavior? How do they reconcile theoretical models (ionic bonding) with experimental observations (covalent character)?

Reflection and Practice

Now that you’ve explored the rules and examples, try assigning oxidation states to the following compounds and ions:

  1. K2Cr7O4
  2. CH4
  3. CO2
  4. HClO4
  5. OF2

Self review

Can you determine the oxidation states of all atoms in these compounds? What trends or exceptions do you notice?

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Question 1

In what ways do oxidation states help in naming compounds, particularly those involving transition metals?

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What is the oxidation state of oxygen in water (H₂O)?

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Note

Introduction to Oxidation States

  • An oxidation state is a theoretical charge assigned to an atom in a compound, assuming all bonds are ionic.
  • It helps us track electron transfer in chemical reactions.

Analogy

Think of oxidation states as a scoreboard for electrons - showing who "owns" them in a compound.

Example

In NaCl, sodium has an oxidation state of +1 (losing one electron), while chlorine has -1 (gaining one electron).

Note

Oxidation states are not always the actual charges on atoms, but a useful way to understand electron distribution.

Definition

Oxidation State

The hypothetical charge an atom would have if all bonds were 100% ionic.