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
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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
Formula
pH = -log₁₀[H⁺]
Most common pH calculation method
Relationship
pH + pOH = 14
At 25°C (standard temperature)
Formula
[H⁺] = 10⁻ᵖᴴ
Inverse pH calculation
Scale
0 to 14
Acidic < 7 < Basic
Range
pH < 7
Higher [H⁺] than [OH⁻]
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)
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.
Get Custom Calculator for Your PlatformpH Calculation Examples
Given Information:
- [H⁺]: 1 × 10⁻³ M (0.001 M)
- Temperature: 25°C
- Goal: Find pH and pOH
Solution Steps:
- pH = -log₁₀(10⁻³) = 3.00
- pOH = 14 - 3 = 11.00
- [OH⁻] = 10⁻¹¹ M
- 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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