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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: February 2, 2026
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Enter concentration in molarity (M), e.g., 1e-7 for 0.0000001
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:
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⁺]
Calculate pH from [H⁺] = 0.001 M (10⁻³ M):
pH
3.00
pOH
11.00
Classification
Acidic
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 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 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
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.
Need help with other chemistry calculations? Check out our mole calculator and equation balancer.
Get Custom Calculator for Your PlatformResults:
pH: 3.00
pOH: 11.00
[OH⁻]: 1.0 × 10⁻¹¹ M
Type: Acidic
[H⁺] = 1 × 10⁻⁷ M
pH = 7.00 (Neutral)
[OH⁻] = 1 × 10⁻³ M
pH = 11.00 (Basic)
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