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How do you balance acid-base neutralization reactions?

Published in Chemical Reactions Balancing 4 mins read

Balancing acid-base neutralization reactions primarily involves ensuring that the number of hydrogen ions (H⁺) from the acid equals the number of hydroxide ions (OH⁻) from the base, as they combine to form water.

Neutralization reactions are a specific type of double displacement reaction where an acid reacts with a base to produce a salt and water. To write and balance these equations accurately, you need to ensure that atoms of each element are conserved on both sides of the reaction arrow.

Key Tip: Balancing H⁺ and OH⁻

A highly effective strategy for balancing these reactions is to focus on the species that react to form water: the H⁺ ions from the acid and the OH⁻ ions from the base. According to a helpful tip, you should balance the acid and base so that their respective H⁺ and OH⁻ ions are present in equal numbers, allowing them to neutralize each other completely to form water.

For instance, consider the reaction between potassium hydroxide (KOH) and phosphoric acid (H₃PO₄).

Example: Balancing KOH and H₃PO₄

  • Reactants: KOH (a base providing one OH⁻ ion) and H₃PO₄ (an acid providing three H⁺ ions).
  • Products: Potassium phosphate (K₃PO₄), the salt, and Water (H₂O).

The initial unbalanced reaction is:

KOH + H₃PO₄ → K₃PO₄ + H₂O

To balance the H⁺ and OH⁻:

  • H₃PO₄ provides 3 H⁺ ions.
  • KOH provides 1 OH⁻ ion.

To make the number of H⁺ and OH⁻ equal, you need three KOH molecules for every one H₃PO₄ molecule (3 OH⁻ to react with 3 H⁺). This ensures that all H⁺ and OH⁻ ions can form water molecules.

Adjusting the coefficients:

3 KOH + H₃PO₄ → K₃PO₄ + ? H₂O

Now, check the atoms:

  • Reactants:
    • K: 3
    • O: 3 (from KOH) + 4 (from H₃PO₄) = 7
    • H: 3 (from KOH) + 3 (from H₃PO₄) = 6
    • P: 1
  • Products:
    • K: 3
    • P: 1
    • Water (H₂O) is the source of the remaining H and O. Since we have 6 H atoms on the reactant side that will form water, we need 3 molecules of H₂O (3 x 2 H = 6 H). This also accounts for 3 O atoms (3 x 1 O = 3 O).

Adding the coefficient for water:

3 KOH + H₃PO₄ → K₃PO₄ + 3 H₂O

Now, let's check the atom count again:

Element Reactants Products Balanced?
K 3 (from 3KOH) 3 (from K₃PO₄) Yes
O 3 (from 3KOH) + 4 (from H₃PO₄) = 7 4 (from K₃PO₄) + 3 (from 3H₂O) = 7 Yes
H 3 (from 3KOH) + 3 (from H₃PO₄) = 6 6 (from 3H₂O) Yes
P 1 (from H₃PO₄) 1 (from K₃PO₄) Yes

The reaction is now fully balanced. The key was matching the 3 H⁺ from H₃PO₄ with 3 OH⁻ from 3 KOH molecules.

General Steps for Balancing Neutralization Reactions

Here's a general approach:

  1. Write the Unbalanced Equation: Identify the acid and base reactants and the salt and water products. (Remember, the salt is formed from the cation of the base and the anion of the acid).
  2. Identify H⁺ and OH⁻ Sources: Determine how many H⁺ ions the acid can donate and how many OH⁻ ions the base can accept (or provides). This depends on whether the acid is monoprotic (1 H⁺), diprotic (2 H⁺), triprotic (3 H⁺), and similarly for the base (e.g., KOH vs. Ca(OH)₂).
  3. Balance H⁺ and OH⁻: Find the least common multiple (LCM) of the number of H⁺ and OH⁻ ions. Use coefficients in front of the acid and base to ensure you have an equal total number of H⁺ and OH⁻ ions reacting.
  4. Balance Water: The number of water molecules formed will equal the total number of H⁺ (or OH⁻) ions that reacted. Add the appropriate coefficient to H₂O.
  5. Balance the Salt: Finally, check the coefficients of the metal cation (from the base) and the non-metal anion (from the acid) in the salt to ensure they are balanced. If you balanced the acid and base correctly in step 3, the salt should often fall into place.
  6. Verify All Atoms: Do a final check of all elements on both sides of the equation to ensure they are equal.

By focusing on the crucial H⁺ and OH⁻ balance, you streamline the process of accurately representing the stoichiometry of acid-base neutralization reactions.