pH and pOH Calculator
Find the pH and pOH of a solution.
Result
How it is calculated
Enter the hydrogen-ion concentration [H⁺] in mol/L (molar). The tool calculates pH = −log₁₀[H⁺] and then pOH = 14 − pH, rounding both to two decimals. The value 14 holds at 25 °C, where the product [H⁺] × [OH⁻] equals 10⁻¹⁴; at other temperatures it is somewhat different, so the pOH is only exact at 25 °C. The concentration must be greater than zero. Very large values are allowed: a concentration above 1 mol/L gives a negative pH (for example 2 mol/L gives −0.30), and the pOH then exceeds 14. The tool takes the concentration you give as the real [H⁺]. It does not work out [H⁺] from an acid's strength, so for weak acids you must find the equilibrium concentration first.
Worked example
A solution has [H⁺] = 0.0003 mol/L (3 × 10⁻⁴). The base-10 logarithm of 0.0003 is about −3.523, so pH = 3.52. Then pOH = 14 − 3.52 = 10.48 (10.477 unrounded). The pH is below 7, so the solution is acidic. A tenfold lower concentration, 0.00003, would raise the pH by exactly one unit to 4.52.
Common mistakes
- Typing the pH itself in the concentration field. The field expects the concentration in mol/L, such as 0.001, not 3.
- Entering the acid concentration of a weak acid such as acetic acid instead of its [H⁺]. Only a small part ionises, so the real pH is higher than the result.
- Applying the formula to extremely dilute acids. At 10⁻⁹ mol/L the tool gives pH 9.00 (a base), but water itself supplies about 10⁻⁷ mol/L of H⁺ and the true pH is just under 7.
- Using the pH + pOH = 14 rule at a temperature far from 25 °C without adjusting.
- Forgetting that pH is logarithmic: a change of 1 unit is a tenfold change in [H⁺], and 2 units is a hundredfold change.
About this calculator
pH and pOH measure how acidic or basic a solution is using negative log-base-10 scales: pH = −log₁₀[H⁺] and pOH = −log₁₀[OH⁻]. At 25°C, the two always sum to 14, because water's ion product constant Kw = [H⁺][OH⁻] = 1×10⁻¹⁴ links them — so knowing one instantly gives the other.
Chemistry students use this relationship constantly when titrating acids and bases in lab, biologists monitor pH because human blood must stay within a narrow 7.35–7.45 range for enzymes to function, and environmental scientists and agronomists test soil and water pH because it governs nutrient availability and aquatic-life tolerance.
Was this helpful?
You can pick up to 3 reactions.
Popular calculators
Loan Calculator
Monthly payment, total interest and full amortization schedule.
Percentage Calculator
Percent change, percent of, and ratio calculations.
Discount Calculator
Calculate final price, savings, and discount amount.
BMI Calculator
Body mass index from height and weight (metric or imperial).
Age Calculator
Compute your exact age in years, months and days from a birth date.
Compound Interest Calculator
Calculate the final amount and interest earned with compounding.
All Calculators
- Loan Calculator
- Profit Calculator
- Discount Calculator
- BMI Calculator
- Percentage Calculator
- Ideal Weight Calculator
- Age Calculator
- Pregnancy Due Date Calculator
- Compound Interest Calculator
- BMR Calculator (Basal Metabolic Rate)
- Tip Calculator
- Fuel Cost Calculator
- Date Difference Calculator
- Sleep Cycle Calculator
- Daily Water Intake Calculator
- Simple Interest Calculator
- Heart Rate Zones Calculator
- Running Pace Calculator
- Pet Age Calculator
- Calories Burned Calculator
- Macro Calculator
- TDEE Calculator (Total Daily Energy Expenditure)
- Waist-to-Hip Ratio Calculator
- Honor Roll Calculator
- One Rep Max (1RM) Calculator
- Ovulation Calculator
- Electricity Cost Calculator
- Unit Price Calculator
- Savings Goal Calculator
- Break-Even Point Calculator
- Paint Calculator
- Course Grade Average Calculator
- Business Days Calculator
- Time Duration Calculator
- Fuel Economy Calculator
- Temperature Converter
- Tile Calculator
- Aspect Ratio Calculator
- Roman Numeral Converter
- Goal Weight Timeline Calculator
- Salary Converter (Hourly to Annual)
- Credit Card Validator (Luhn)
- Body Surface Area (BSA) Calculator
- Feels-Like Temperature Calculator
- Ohm’s Law Calculator
- PPI (Pixel Density) Calculator
- Molar Mass Calculator
- Zodiac Sign Calculator (Western + Chinese)
- IBAN Validator
- Shoe Size Converter
- Country Info & Dialing Code Lookup
- Time Zone Difference (World Clock)
- CAGR (Compound Annual Growth Rate) Calculator
- Rule of 72 Calculator
- Blood Alcohol Content (BAC) Calculator
- Lean Body Mass (LBM) Calculator
- Pythagorean Theorem Calculator
- Speed Converter
- Download Time Calculator
- Date Calculator (Add/Subtract)
No calculators found
Comments