pH Calculator

Calculate pH from [H⁺] concentration, or find [H⁺] from pH. Convert between pH and pOH.

🔬 pH Calculator
pH
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pOH
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[H⁺] mol/L
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[OH⁻] mol/L
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Classification
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Kw at 25°C
1×10⁻¹⁴

📖 What is pH?

pH stands for "potential of Hydrogen" and is a logarithmic scale used to specify the acidity or basicity (alkalinity) of an aqueous solution. The scale runs from 0 to 14, where 7 is neutral (pure water at 25°C), values below 7 are acidic, and values above 7 are basic or alkaline.

The pH scale was developed by Danish chemist Søren Peder Lauritz Sørensen in 1909. Because it is logarithmic, each unit change represents a 10-fold change in hydrogen ion concentration. This means pH 3 is 10 times more acidic than pH 4, and 100 times more acidic than pH 5 - making the scale very powerful for expressing the enormous range of concentrations found in chemistry.

pH is critical across many fields: biology (maintaining cellular pH is essential for enzyme function and life itself), medicine (blood pH must be maintained between 7.35 and 7.45 - even small deviations cause serious illness), food science (controlling pH affects taste, safety, and shelf life), water treatment, agriculture (soil pH determines nutrient availability), and industrial chemistry.

📐 Formula

pH = -log₁₀[H⁺]
[H⁺] = 10^(-pH)
pOH = -log₁₀[OH⁻]
pH + pOH = 14 (at 25°C, since Kw = 10⁻¹⁴)

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

📖 How to Use This Calculator

1
[H⁺] → pH: Enter the hydrogen ion concentration in mol/L (e.g. 0.001 for 10⁻³ M). Click Calculate.
2
pH → [H⁺]: Switch to the second tab, enter the pH value, and click Calculate.
3
Results show pH, pOH, [H⁺], [OH⁻], and the acidity classification with a visual scale indicator.

💡 Example Calculations

Example 1 - Lemon juice

1
[H⁺] = 0.005 mol/L (5 × 10⁻³ mol/L)
2
pH = -log₁₀(0.005) = -(-2.301) = pH 2.30
3
pOH = 14 - 2.30 = 11.70
4
Classification: Acidic
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Example 2 - Baking soda solution

1
pH = 8.3
2
[H⁺] = 10⁻⁸·³ = 5.01 × 10⁻⁹ mol/L
3
pOH = 14 - 8.3 = 5.70
4
[OH⁻] = 10⁻⁵·⁷ = 2 × 10⁻⁶ mol/L
5
Classification: Weakly Basic
Try this example →

Frequently Asked Questions

What is pH?+
pH stands for 'power of Hydrogen'. It is a logarithmic scale from 0 to 14 that measures how acidic or basic (alkaline) a solution is. pH = -log₁₀[H+], where [H+] is the hydrogen ion concentration in mol/L. pH 7 is neutral; below 7 is acidic; above 7 is basic.
What is the difference between pH and pOH?+
pH measures hydrogen ion concentration; pOH measures hydroxide ion concentration. At 25°C, pH + pOH = 14 (the ion product of water, Kw = 10⁻¹⁴). If pH = 4, then pOH = 10. A low pOH means a high [OH-] concentration - a basic solution.
What are common substances and their pH?+
Battery acid: ~0, stomach acid: ~1.5, lemon juice: ~2, vinegar: ~3, coffee: ~5, milk: ~6.5, pure water: 7, blood: ~7.4, baking soda: ~8.3, sea water: ~8, bleach: ~12, lye (NaOH): ~13.
How does pH relate to acid strength?+
A strong acid (like HCl, H₂SO₄) fully dissociates in water, releasing all its H+ ions. A 0.1 M HCl solution has pH = 1. A weak acid (like acetic acid in vinegar) only partially dissociates, so a 0.1 M solution has a higher pH (around 2.87).
What is a buffer solution?+
A buffer solution resists changes in pH when small amounts of acid or base are added. It contains a weak acid and its conjugate base (or weak base and its conjugate acid). Blood uses a carbonate buffer to maintain pH between 7.35 and 7.45 - variations outside this range are life-threatening.
What pH is neutral, acidic, or basic?+
pH ranges from 0 to 14 (and beyond in concentrated solutions). pH 7 is neutral (pure water at 25 degrees Celsius). pH below 7 is acidic - the lower the number, the stronger the acid. pH above 7 is basic (alkaline) - the higher the number, the stronger the base. Common examples: gastric acid pH 1.5-3.5, coffee pH 5, blood pH 7.35-7.45 (slightly alkaline), baking soda pH 8.3, bleach pH 12-13.
What does a 1-unit change in pH mean?+
The pH scale is logarithmic (base 10). A change of 1 pH unit represents a 10-fold change in hydrogen ion concentration. A change of 2 pH units = 100-fold change. So pH 3 is 10 times more acidic than pH 4, and 100 times more acidic than pH 5. This explains why strong acid spills are so dangerous: even small volumes of pH 1 acid have a hydrogen ion concentration 1 million times higher than neutral water (pH 7).
How does temperature affect pH measurements?+
Temperature significantly affects pH readings. The neutral point of water is pH 7.0 only at 25 degrees C. At higher temperatures, the neutral pH decreases - at 37 degrees C (body temperature), neutral water has a pH of about 6.8. pH electrodes are also temperature-sensitive in their voltage output, which is why precision pH meters have automatic temperature compensation (ATC). For critical measurements, always record the temperature alongside pH and use ATC-enabled equipment. For biological systems like blood, the Henderson-Hasselbalch equation accounts for temperature effects on buffer systems.
Why does pH change with temperature?+
The pH of pure water at 25 degrees C is 7.0 (neutral). At 100 degrees C, pure water has pH approximately 6.14 - still neutral, but the neutral point shifts because Kw (water's ionization constant) changes with temperature. A blood sample at body temperature (37 degrees C) has neutral pH approximately 6.8. Always specify temperature when reporting precise pH values in scientific work.

What is pH?

pH stands for 'power of Hydrogen'. It is a logarithmic scale from 0 to 14 that measures how acidic or basic (alkaline) a solution is. pH = -log₁₀[H+], where [H+] is the hydrogen ion concentration in mol/L. pH 7 is neutral; below 7 is acidic; above 7 is basic.

What is the difference between pH and pOH?

pH measures hydrogen ion concentration; pOH measures hydroxide ion concentration. At 25°C, pH + pOH = 14 (the ion product of water, Kw = 10⁻¹⁴). If pH = 4, then pOH = 10. A low pOH means a high [OH-] concentration - a basic solution.

What are common substances and their pH?

Battery acid: ~0, stomach acid: ~1.5, lemon juice: ~2, vinegar: ~3, coffee: ~5, milk: ~6.5, pure water: 7, blood: ~7.4, baking soda: ~8.3, sea water: ~8, bleach: ~12, lye (NaOH): ~13.

How does pH relate to acid strength?

A strong acid (like HCl, H₂SO₄) fully dissociates in water, releasing all its H+ ions. A 0.1 M HCl solution has pH = 1. A weak acid (like acetic acid in vinegar) only partially dissociates, so a 0.1 M solution has a higher pH (around 2.87).

What is a buffer solution?

A buffer solution resists changes in pH when small amounts of acid or base are added. It contains a weak acid and its conjugate base (or weak base and its conjugate acid). Blood uses a carbonate buffer to maintain pH between 7.35 and 7.45 - variations outside this range are life-threatening.

What pH is neutral, acidic, or basic?

pH ranges from 0 to 14 (and beyond in concentrated solutions). pH 7 is neutral (pure water at 25 degrees Celsius). pH below 7 is acidic - the lower the number, the stronger the acid. pH above 7 is basic (alkaline) - the higher the number, the stronger the base. Common examples: gastric acid pH 1.5-3.5, coffee pH 5, blood pH 7.35-7.45 (slightly alkaline), baking soda pH 8.3, bleach pH 12-13.

What does a 1-unit change in pH mean?

The pH scale is logarithmic (base 10). A change of 1 pH unit represents a 10-fold change in hydrogen ion concentration. A change of 2 pH units = 100-fold change. So pH 3 is 10 times more acidic than pH 4, and 100 times more acidic than pH 5. This explains why strong acid spills are so dangerous: even small volumes of pH 1 acid have a hydrogen ion concentration 1 million times higher than neutral water (pH 7).

Why does pH change with temperature?

The pH of pure water at 25 degrees C is 7.0 (neutral). At 100 degrees C, pure water has pH approximately 6.14 - still neutral, but the neutral point shifts because Kw (water's ionization constant) changes with temperature. A blood sample at body temperature (37 degrees C) has neutral pH approximately 6.8. Always specify temperature when reporting precise pH values in scientific work.