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Electrochemistry

Calculate oxidation number:

To calculate the oxidation number of an element in a compound or ion, you need to assign electrons to each atom according to certain rules. The most common rules are:

  • The oxidation number of an atom in an element is always 0.

  • The oxidation number of an ion is equal to its charge.

  • The sum of the oxidation numbers of all atoms in a neutral molecule is 0.

Example:

Calculate the oxidation number of sulfur in H₂SO₄.

Solution:

  • The oxidation number of hydrogen is +1. Since there are two hydrogen atoms, their total contribution is +2.

  • The oxidation number of oxygen is -2. Since there are four oxygen atoms, their total contribution is -8.

  • The sum of the oxidation numbers must be equal to the charge of the molecule, which is 0.

  • Therefore, the oxidation number of sulfur can be calculated as follows:

+2 - 8 + x = 0

where x is the oxidation number of sulfur.

Solving for x gives x = +6.

Thus, the oxidation number of sulfur in H₂SO₄ is +6.


Balance chemical equations:

  • Changes in oxidation numbers can be used to help balance chemical equations, particularly those involving redox reactions.

  • In a redox reaction, there is a transfer of electrons from one reactant to another.

  • The reactant that loses electrons is said to be oxidized, while the reactant that gains electrons is said to be reduced.

  • The overall charge must be conserved in a chemical reaction, so the oxidation numbers of the atoms must balance on both sides of the equation.

Example:

MnO₄⁻ + H₂C₂O₄ → Mn²⁺ + CO₂


1. Assign oxidation numbers to each element in the equation:

  • Mn: +7 in MnO₄⁻ and +2 in Mn²⁺

  • C: +3 in H₂C₂O₄ and +4 in CO₂

  • O: -2 in MnO₄⁻, -2 in H₂C₂O₄, and -2 in CO₂

  • H: +1 in H₂C₂O₄

2. Identify the elements undergoing oxidation and reduction:

  • Mn is being reduced (its oxidation number decreases from +7 to +2)

  • C is being oxidized (its oxidation number increases from +3 to +4)

3. Write half-reactions for oxidation and reduction:

Separate the oxidation and reduction reactions into two half-reactions.

In the oxidation half-reaction, the element that is oxidized loses electrons, and in the reduction half-reaction, the element that is reduced gains electrons.

4. Balance the atoms and charges in each half-reaction so that the number of electrons lost in the oxidation half-reaction equals the number of electrons gained in the reduction half-reaction.

For example, in the equation

MnO₄⁻ + H₂C₂O₄ → Mn²⁺ + CO₂ + H₂O,

The oxidation half-reaction is:

MnO₄⁻ → Mn²⁺

The oxidation state of Mn changes from +7 to +2, so it loses 5 electrons.

The balanced half-reaction is:

MnO₄⁻ + 8H⁺ + 5e⁻ → Mn²⁺ + 4H₂O

To balance the number of oxygen, H₂O is added.

To balance the number of hydrogen H⁺ is added.


The reduction half-reaction is:

H₂C₂O₄ → CO₂

The oxidation state of C changes from +3 to +4, so it loses 1 electron. The balanced half-reaction is:

H₂C₂O₄ + 2H₂O + 2e⁻ → 2CO₂ + 6H⁺

To balance the number of oxygens, water(H₂O) is added.

To balance the number of hydrogens, H⁺ is added.


Balance the overall equation:

To balance the overall equation, multiply each half-reaction by an integer so that the number of electrons lost in the oxidation half-reaction equals the number of electrons gained in the reduction half-reaction.


5. Then add the two half-reactions together, cancelling out any spectator ions that appear on both sides of the equation.

After adding both of them the balanced equation is:

MnO₄⁻ + 8H⁺ + 5H₂C₂O₄ → Mn²⁺ + 5CO₂ + 13H₂O


Redox agents

Oxidizing agents

  • An oxidizing agent is a substance that causes another substance to lose electrons, and in the process, the oxidizing agent itself is reduced.

  • This means that the oxidizing agent gains electrons, as it accepts them from the substance it is oxidizing.

  • For example, when chlorine gas (Cl₂) reacts with sodium metal (Na), the chlorine is the oxidizing agent as it accepts an electron from sodium, forming sodium chloride (NaCl).

  • The oxidation state of chlorine decreases from 0 to -1, indicating that it has been reduced.

Reducing Agents

  • A reducing agent is a substance that causes another substance to gain electrons, and in the process, the reducing agent itself is oxidized.

  • This means that the reducing agent loses electrons, as it donates them to the substance it is reducing.

  • For example, in the reaction of zinc metal (Zn) with hydrochloric acid (HCl) to form hydrogen gas (H₂) and zinc chloride (ZnCl₂), the zinc metal is the reducing agent as it donates electrons to hydrogen ions from the acid.

  • The oxidation state of zinc increases from 0 to +2, indicating that it has been oxidized.




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