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Home/Chemistry/pH Scale

pH Scale

The pH scale is a logarithmic measure of the activity of hydrogen ions (H⁺) in an aqueous solution, quantifying its acidity or basicity. This simulator models the core relationship defined by the equation pH = -log₁₀[H⁺], where [H⁺] is the molar concentration of hydrogen ions. As a user moves the slider from 0 to 14, the underlying hydrogen ion concentration changes by ten orders of magnitude for each unit change in pH. A pH of 7 represents a neutral solution where [H⁺] equals the concentration of hydroxide ions [OH⁻] (1 x 10⁻⁷ M at 25°C), governed by the water autoionization constant, K_w = [H⁺][OH⁻] = 1 x 10⁻¹⁴. Values below 7 indicate an acidic excess of H⁺, while values above 7 indicate a basic (alkaline) excess of OH⁻. The model visually connects this abstract mathematical concept to the real world by displaying common substances—like battery acid, coffee, blood, and bleach—at their typical pH values. It also shows the color changes of universal indicator paper, providing an intuitive link between numerical value, chemical property, and observational test. A key simplification is the assumption of ideal behavior at 25°C; real-world temperature effects on K_w and the activity coefficients of ions are not modeled. Furthermore, the pH of common substances is given as a typical range, not an exact fixed point. By interacting, students learn to interpret the logarithmic nature of the scale, predict the relative strength of acids and bases, correlate pH with indicator colors, and classify everyday materials chemically.

Who it's for: High school and introductory college chemistry students learning about acids, bases, and solution chemistry, as well as educators seeking a visual tool for classroom demonstration.

Key terms

  • pH
  • Acid
  • Base
  • Logarithmic Scale
  • Hydrogen Ion Concentration
  • Neutralization
  • Indicator
  • Autoionization of Water

Indicator view

7.00

Neutral

0 acid714 base

pH

7

pH = −log₁₀[H⁺] for dilute aqueous solutions. At 25 °C, Kw ≈ 10⁻¹⁴ so pH + pOH ≈ 14.

Examples (tap)

Measured values

CategoryNeutral
pOH7
[H⁺] (mol/L)1.00e-7
[OH⁻] (mol/L)1.00e-7

How it works

The pH scale measures hydrogen-ion activity in water-based solutions. pH 7 is neutral at 25 °C. Lower pH means more acidic (higher [H⁺]); higher pH means more basic. Colors mimic a universal indicator — real lab measurements use calibrated probes or dyes.

Key equations

pH = −log₁₀[H⁺] · pOH = −log₁₀[OH⁻] · pH + pOH ≈ 14

Frequently asked questions

Why is a pH of 7 considered neutral?
At 25°C (77°F), pure water autoionizes to produce equal concentrations of hydrogen ions (H⁺) and hydroxide ions (OH⁻), each at 1 x 10⁻⁷ M. Since pH = -log(1 x 10⁻⁷) = 7, this defines neutrality. It's crucial to remember that the neutral point changes slightly with temperature because the autoionization constant of water (K_w) is temperature-dependent.
What does it mean that the pH scale is logarithmic?
A logarithmic scale means each whole number change represents a tenfold change in hydrogen ion concentration. For example, a solution with pH 3 has ten times more H⁺ ions than a solution at pH 4, and one hundred times more than a solution at pH 5. This is why small numerical differences on the pH scale correspond to huge differences in chemical activity.
Can pH be less than 0 or greater than 14?
Yes. While the typical scale runs from 0 to 14 for common aqueous solutions, highly concentrated strong acids can have negative pH values (e.g., 10 M HCl has a pH ≈ -1), and highly concentrated strong bases can have a pH > 14. The simulator's 0–14 range covers the vast majority of substances encountered in daily life and introductory labs.
How do pH indicator papers or liquids work?
Indicators are weak acids or bases that have different colors in their protonated and deprotonated forms. The color change occurs over a specific pH range. Universal indicator, shown in the simulator, is a mixture of several indicators designed to produce a continuous spectrum of colors across the full pH scale, providing a visual estimate of a solution's pH.