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Calculate The Ph for Each of The Following Solutions.

Reviewed by Calculator Editorial Team

Determining the pH of chemical solutions is essential in chemistry, biology, and environmental science. This guide explains how to calculate pH values, understand the pH scale, and interpret results for various solutions.

What is pH?

The pH scale measures how acidic or basic a solution is. It ranges from 0 to 14, where:

  • pH 0-6.9: Acidic solutions
  • pH 7: Neutral (pure water)
  • pH 7.1-14: Basic (alkaline) solutions

The pH scale is logarithmic, meaning each whole number change represents a tenfold difference in hydrogen ion concentration.

Key Point: The pH scale is not linear. A solution with pH 3 is 10 times more acidic than one with pH 4.

How to Calculate pH

To calculate pH, you need to know the concentration of hydrogen ions (H⁺) in the solution. The formula for pH is:

pH = -log[H⁺]

Where [H⁺] is the molar concentration of hydrogen ions in moles per liter (mol/L).

Steps to Calculate pH

  1. Measure or determine the concentration of H⁺ ions in the solution.
  2. Take the negative logarithm (base 10) of the H⁺ concentration.
  3. Round the result to one decimal place for practical use.

For example, if a solution has an H⁺ concentration of 1 × 10⁻⁵ mol/L:

pH = -log(1 × 10⁻⁵) = -(-5) = 5

pH Scale Examples

Here are some common solutions and their pH values:

Solution pH Value Classification
Battery acid 0.8 Very acidic
Lemon juice 2.0 Acidic
Pure water 7.0 Neutral
Human blood 7.4 Slightly basic
Ammonia solution 11.6 Basic
Bleach 12.5 Very basic

pH Calculation Formula

The pH of a solution is calculated using the following formula:

pH = -log[H⁺]

Where:

  • pH = potential of Hydrogen (measure of acidity/basicity)
  • [H⁺] = concentration of hydrogen ions in moles per liter (mol/L)

This formula is derived from the definition of pH as the negative logarithm of the hydrogen ion activity coefficient.

Example Calculation

Let's calculate the pH of a solution with an H⁺ concentration of 1 × 10⁻⁶ mol/L:

pH = -log(1 × 10⁻⁶)

= -(-6)

= 6

Therefore, this solution has a pH of 6, which is slightly acidic.

FAQ

What is the pH of pure water?

The pH of pure water is 7 at 25°C, which is considered neutral.

How does temperature affect pH measurements?

Temperature can affect pH measurements because the ionization of water changes with temperature. Most pH measurements are standardized to 25°C.

What is the difference between pH and pOH?

pH measures the concentration of hydrogen ions (H⁺), while pOH measures the concentration of hydroxide ions (OH⁻). They are related by the equation: pH + pOH = 14 at 25°C.

How is pH measured in the laboratory?

pH is typically measured using a pH meter or pH test strips. The pH meter measures the electrical potential difference between a reference electrode and a pH-sensitive electrode.