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Calculate The Ph for Each of The Following

Reviewed by Calculator Editorial Team

Understanding pH is essential in chemistry, biology, and environmental science. This guide explains how to calculate pH values for different solutions and interpret the results.

What is pH?

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

  • pH values less than 7 are acidic
  • pH 7 is neutral
  • pH values greater than 7 are basic (alkaline)

The pH scale is logarithmic, meaning each whole number change represents a tenfold difference in acidity or alkalinity.

The pH scale was introduced by Danish chemist Søren Sørensen in 1909. It's based on the concentration of hydrogen ions (H+) in a solution.

The pH Scale

The pH scale is a logarithmic scale that measures the acidity or basicity of a solution. The formula to calculate pH is:

pH = -log10[H+]

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

Common pH values for familiar substances:

Substance pH Range Classification
Battery acid 0-1 Very strong acid
Lemon juice 2-3 Weak acid
Pure water 7 Neutral
Human blood 7.35-7.45 Slightly basic
Ammonia solution 11-12 Strong base
Household bleach 12-13 Very strong base

Calculating pH

To calculate the pH of a solution, you need to know the concentration of hydrogen ions (H+) in moles per liter (mol/L). The formula for pH is:

pH = -log10[H+]

For example, if a solution has a hydrogen ion concentration of 1 × 10-5 mol/L:

pH = -log10(1 × 10-5) = 5

This solution would be neutral with a pH of 5.

Remember that the pH scale is logarithmic. A pH of 3 is ten times more acidic than a pH of 4, and a pH of 11 is ten times more basic than a pH of 10.

Examples

Example 1: Calculating pH from Hydrogen Ion Concentration

Given a solution with [H+] = 1 × 10-8 mol/L, calculate the pH.

pH = -log10(1 × 10-8) = 8

This solution is slightly basic with a pH of 8.

Example 2: Calculating pH from Hydroxide Ion Concentration

Given a solution with [OH-] = 1 × 10-4 mol/L, calculate the pH.

[H+] = 1 × 10-14 / [OH-] = 1 × 10-10 mol/L

pH = -log10(1 × 10-10) = 10

This solution is basic with a pH of 10.

Example 3: Calculating pH from pOH

Given a solution with pOH = 12, calculate the pH.

pH + pOH = 14

pH = 14 - pOH = 2

This solution is acidic with a pH of 2.

FAQ

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.

What is the pH of pure water?

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

How does temperature affect pH?

Temperature can affect the ionization of water, which in turn affects the pH. Generally, as temperature increases, the pH of a solution may change slightly, but this effect is usually small for most practical purposes.

What is the pH of human blood?

The pH of human blood typically ranges from 7.35 to 7.45, which is slightly basic.