Neutralization calculator: how much base neutralizes an acid
Order the right amount of caustic before the tank goes over pH.
Result
.
| Quantity | Value |
|---|
How the stoichiometry works
Neutralization pairs hydrogen ions from the acid with hydroxide or carbonate from the base. The tool turns what you entered into moles of chemical, multiplies by the H+ each mole gives or takes, and divides by the H+ per mole of the neutralizer. In one line, mol neutralizer = mol chemical × H+ chemical ÷ H+ neutralizer, then the mass follows from the molar mass and the strength you buy it at.
Moles come from the mass of pure chemical divided by its molar mass. For a solution that is mass × % w/w ÷ 100, and for a volume it is liters × SG × % w/w ÷ 100 in kg, or liters × mol/L directly. The US gallon of 3.785411784 L and the pound of 0.45359237 kg are the exact definitions in NIST Handbook 44.
Every preset molar mass below is summed from the IUPAC CIAAW Abridged Standard Atomic Weights 2024 (H 1.0080, C 12.011, N 14.007, O 15.999, Na 22.990, Mg 24.305, P 30.974, S 32.06, Cl 35.45, K 39.098, Ca 40.078). The result is the stoichiometric charge, the amount for a complete reaction; real tanks carry buffers and dissolved metals, so trim the last few percent against a pH probe.
| Preset | g/mol | H+ per mole |
|---|---|---|
| Hydrochloric acid, HCl | 36.458 | 1 |
| Sulfuric acid, H2SO4 | 98.072 | 2 |
| Nitric acid, HNO3 | 63.012 | 1 |
| Phosphoric acid, H3PO4 | 97.994 | 3 |
| Acetic acid, CH3COOH | 60.052 | 1 |
| Sodium hydroxide, NaOH | 39.997 | 1 |
| Potassium hydroxide, KOH | 56.105 | 1 |
| Calcium hydroxide, Ca(OH)2 | 74.092 | 2 |
| Magnesium hydroxide, Mg(OH)2 | 58.319 | 2 |
| Sodium carbonate, Na2CO3 | 105.988 | 2 |
| Sodium bicarbonate, NaHCO3 | 84.006 | 1 |
| Ammonia, NH3 | 17.031 | 1 |
Worked example: spent sulfuric acid and caustic soda
The booking. A plant has 2,000 lb of spent acid at 10% w/w sulfuric acid, which is 200 lb or 90.72 kg of H2SO4. The operator divides by 98.072 g/mol to get 925.0 mol, orders the same number of moles of NaOH, and books 925.0 × 39.997 g = 81.6 lb of caustic, which looks fine on paper.
The failure. Sulfuric acid gives up two hydrogen ions per molecule, so the reaction needs 2 mol of NaOH per mol of acid. With 81.6 lb in the tank only half the acid is gone, the pH is still far too low to discharge, and the batch waits for a second delivery. Either the order changes, or the tank sits.
The fix. Leave H+ per mole at 2 for sulfuric acid and the tool returns 1,850.0 mol of NaOH, or 163.1 lb pure. Bought as 50 percent lye, that is 326.3 lb of liquid, and the tank reaches neutral on one delivery with a pH probe to trim the end.
Working from a lab result in mol/L or normality rather than % w/w? The molarity calculator turns grams, liters, and moles into each other at /tools/chemicals/molarity-calculator.
Need the molar mass of a salt or hydrate the presets do not carry? The molar mass calculator sums any formula from the same IUPAC atomic weights at /tools/chemicals/molar-mass-calculator.
Frequently asked
How much sodium hydroxide neutralizes sulfuric acid?
Two moles of NaOH for every mole of H2SO4, because sulfuric acid gives up two hydrogen ions. By mass that is 2 × 39.997 = 79.994 g of NaOH per 98.072 g of acid, or about 0.816 kg of NaOH per kg of pure sulfuric acid. The molar masses come from the IUPAC CIAAW 2024 abridged atomic weights.
What is the molar ratio in a neutralization reaction?
It is the number of hydrogen ions the acid gives per mole divided by the number the base takes per mole. HCl with NaOH is 1 to 1, H2SO4 with NaOH is 1 to 2, and HCl with Ca(OH)2 is 2 to 1, so half a mole of lime handles each mole of HCl. The tool shows both numbers so you can change either one when your reaction stops at a different end point.
Does the tool assume phosphoric acid loses all three hydrogens?
Yes, the preset counts all three acidic hydrogens, which is full stoichiometric neutralization. The third hydrogen of phosphoric acid is very weak, so a process that stops near pH 7 uses less base than the preset returns. Change the H+ per mole box to 1 or 2 to match the end point your procedure actually targets, and confirm it with a titration on a real sample.
Why does the calculator ask for % w/w and specific gravity?
Moles come from the mass of pure chemical, and a drum label gives you volume and strength instead. The tool multiplies volume by SG to get the mass of solution, then by the percent w/w to get the mass of pure acid or base. Take both values from SDS Section 9 or the certificate of analysis for the lot, since strength drifts between batches.
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File dates and links are on Data sources.