How to Calculate the pH When Mixing Acids and Bases

Dot-Point 6: calculate the pH of the resultant solution when solutions of acids and/or bases are diluted or mixed

When acids and bases are mixed, the resulting pH of the solution depends on which substance (acid or base) is in excess. To calculate the pH, we need to follow a few steps to figure out how much of each reactant is left after they neutralize each other. Here’s a simple guide to help you approach these types of problems.

Key Steps to Solve pH Calculation Problems

  1. Write the balanced chemical equation for the neutralization reaction.

  2. Calculate the moles of acid and base in the initial solutions.

  3. Determine the limiting reagent (the substance that will be used up first) and calculate the moles of the excess reagent.

  4. Calculate the concentration of the excess reagent in the final volume of the solution.

  5. Use the excess reagent to calculate the final pH or pOH of the solution.

Example 1: Mixing Sodium Hydroxide with Hydrochloric Acid

Problem:

Calculate the pH of the final solution when 30 mL of 0.10 mol/L sodium hydroxide is added to 50 mL of 0.30 mol/L hydrochloric acid solution.

show ANswer

Calculate the pH of the final solution when 30 mL of 0.10 mol/L sodium hydroxide is added to 50 mL of 0.30 mol/L hydrochloric acid solution.

show ANswer

Calculate the pH of the final solution when 30 mL of 0.10 mol/L sodium hydroxide is added to 50 mL of 0.30 mol/L hydrochloric acid solution.

show ANswer


Example 2: Adding Sodium Hydroxide to Hydrochloric Acid

Problem:

5g of solid sodium hydroxide is added to 100.0 mL of 1.00 M HCl solution. Find the pH of the final solution.

show ANswer

5g of solid sodium hydroxide is added to 100.0 mL of 1.00 M HCl solution. Find the pH of the final solution.

show ANswer

5g of solid sodium hydroxide is added to 100.0 mL of 1.00 M HCl solution. Find the pH of the final solution.

show ANswer

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CATALYST

The fastest path to crushing chemistry.

(C) Catalyst Chemistry 2025

CATALYST

The fastest path to crushing chemistry.

(C) Catalyst Chemistry 2025