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Chemistry Tool

pH Calculator - Calculate pH from Concentration & pH Scale Calculator

Free pH calculator. Calculate pH, pOH, hydrogen ion concentration [H⁺], and hydroxide ion concentration [OH⁻] with step-by-step chemistry solutions. Perfect for acid-base chemistry and lab calculations.

Last updated: December 15, 2024

Calculate pH from [H⁺] or [OH⁻]
Find concentrations from pH/pOH
Acidity classification included

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pH Calculator
Calculate pH, pOH, and ion concentrations

Enter concentration in molarity (M), e.g., 1e-7 for 0.0000001

pH Analysis

pH:

3.0000

pOH:

11.0000

Acidity:

Acidic

[H⁺] Concentration:

1.0000e-3 M

[OH⁻] Concentration:

1.0000e-11 M

Step-by-Step Solution:

1. Given: [H⁺] = 0.001 M

2. Calculate pH: pH = -log₁₀[H⁺] = -log₁₀(0.001) = 3.0000

3. Calculate pOH: pOH = 14 - pH = 14 - 3.0000 = 11.0000

4. Calculate [OH⁻]: [OH⁻] = 10^(-pOH) = 10^(-11.0000) = 1.0000e-11 M

5. pH < 7: Solution is ACIDIC

pH Scale Tips:

  • • pH scale: 0-14 (acidic to basic)
  • • pH = -log₁₀[H⁺], pOH = -log₁₀[OH⁻]
  • • pH + pOH = 14 (at 25°C)
  • • pH < 7: Acidic, pH = 7: Neutral, pH > 7: Basic
  • • Each pH unit = 10× change in [H⁺]

pH Calculator Features

pH from [H⁺] Calculator
Calculate pH from hydrogen ion concentration

Formula

pH = -log₁₀[H⁺]

Most common pH calculation method

pOH Calculator
Calculate pOH and convert to pH

Relationship

pH + pOH = 14

At 25°C (standard temperature)

Ion Concentration Calculator
Find [H⁺] and [OH⁻] from pH

Formula

[H⁺] = 10⁻ᵖᴴ

Inverse pH calculation

pH Scale Calculator
Classify acidity/basicity

Scale

0 to 14

Acidic < 7 < Basic

Acid pH Calculator
Calculate pH of acidic solutions

Range

pH < 7

Higher [H⁺] than [OH⁻]

Base pH Calculator
Calculate pH of basic solutions

Range

pH > 7

Higher [OH⁻] than [H⁺]

Quick Example Result

Calculate pH from [H⁺] = 0.001 M (10⁻³ M):

pH

3.00

pOH

11.00

Classification

Acidic

How Our pH Calculator Works

Our pH calculator uses logarithmic relationships to convert between pH, pOH, and ion concentrations. The calculator implements the fundamental equations of acid-base chemistry: pH = -log₁₀[H⁺], pOH = -log₁₀[OH⁻], and pH + pOH = 14 (at 25°C).

pH Calculation Formulas

pH Formula: pH = -log₁₀[H⁺]

pOH Formula: pOH = -log₁₀[OH⁻]

Relationship: pH + pOH = 14 (at 25°C)

Inverse: [H⁺] = 10⁻ᵖᴴ

Water constant: [H⁺] × [OH⁻] = 1.0 × 10⁻¹⁴

The negative logarithm means that as hydrogen ion concentration increases (more acidic), the pH value decreases. Each pH unit represents a 10-fold change in [H⁺].

pH Scale Guide

pH 0-3: Strongly acidic (battery acid, stomach acid)

pH 4-6: Weakly acidic (coffee, tomatoes)

pH 7: Neutral (pure water at 25°C)

pH 8-10: Weakly basic (seawater, baking soda)

pH 11-14: Strongly basic (ammonia, bleach)

🧪 pH Scale Diagram

Showing pH 0-14 with common substances

Chemical Foundation

pH is fundamental to chemistry and biology because it measures the concentration of hydrogen ions, which drive countless chemical reactions. The pH scale is logarithmic because hydrogen ion concentrations vary over many orders of magnitude. Water self-ionizes to produce equal amounts of H⁺ and OH⁻ (10⁻⁷ M each at 25°C), defining neutral pH as 7.

  • pH measures acidity on logarithmic scale (0-14)
  • Lower pH = higher [H⁺] = more acidic
  • Higher pH = lower [H⁺] = more basic
  • Each pH unit = 10× change in concentration
  • pH 7 is neutral only at 25°C (temperature dependent)
  • Biological systems require tight pH control

Sources & References

  • Chemistry: The Central Science - Brown, LeMay, Bursten, Murphy (14th Edition)Standard reference for acid-base chemistry
  • General Chemistry - Petrucci, Herring, Madura, Bissonnette (11th Edition)Comprehensive coverage of pH and equilibria
  • Khan Academy - Acids and BasesEducational resource for learning pH chemistry

Need help with other chemistry calculations? Check out our molarity calculator and dilution calculator.

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pH Calculation Examples

Example: Calculate pH of Acidic Solution
Find pH from hydrogen ion concentration

Given Information:

  • [H⁺]: 1 × 10⁻³ M (0.001 M)
  • Temperature: 25°C
  • Goal: Find pH and pOH

Solution Steps:

  1. pH = -log₁₀(10⁻³) = 3.00
  2. pOH = 14 - 3 = 11.00
  3. [OH⁻] = 10⁻¹¹ M
  4. pH < 7 → Acidic

Results:

pH: 3.00

pOH: 11.00

[OH⁻]: 1.0 × 10⁻¹¹ M

Type: Acidic

Neutral Water

[H⁺] = 1 × 10⁻⁷ M

pH = 7.00 (Neutral)

Basic Solution

[OH⁻] = 1 × 10⁻³ M

pH = 11.00 (Basic)

Frequently Asked Questions

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