Sulfuric Acid Concentration Calculator
Enter a % concentration to get density, specific gravity, g/L, and molarity — or enter a measured density to solve for concentration.
Worked examples
Sizing a 93% contact-process acid tank
An engineer specifying a storage tank for 93% sulfuric acid (a common contact-process commercial grade) needs its density and molarity for the tank's weight and mixing calculations.
- Concentration
- 93% w/w
- Basis
- 20°C
≈ 1.8279 g/cm³ (SG 1.831), 17.33 mol/L
A hydrometer reads 1.834 g/cm³ on a near-spent pickling bath
A metal-finishing tech reads 1.834 g/cm³ on a bath that started concentrated — that density sits on both sides of the density peak, so two concentrations fit equally well.
- Measured density
- 1.834 g/cm³
- Basis
- 20°C
Two possible answers: ≈95.17% or ≈99.05% w/w
How the calculator works
The reference table lists independently measured density values at each weight-percent point, all at 20°C. Going from a known concentration to density is a simple lookup: bracket your value between the two nearest rows and interpolate linearly across that short segment. Going the other way — density back to concentration — is almost as simple below about 96%, but sulfuric acid's density curve rises, peaks near 97% (1.8364 g/cm³), and then eases back down toward 100%. Above that peak, one density value can match two concentrations, so the calculator searches the rising branch and the falling branch separately and reports both matches instead of silently guessing.
Once density and concentration are both known, converting to molarity is a mass balance: a liter of solution weighs 1000 × density grams, the % w/w share of that mass is dissolved H₂SO₄, and dividing by H₂SO₄'s molar mass (98.079 g/mol) gives moles per liter.
M = 10 × density × wt% / 98.079
Baumé (°Bé) ↔ specific gravity
Concentrated sulfuric acid has long been graded and sold by Baumé hydrometer reading rather than lab-measured density. For liquids denser than water (the "heavy" Baumé scale), degrees Baumé and specific gravity convert directly into each other:
SG = 145 / (145 − °Bé)
This calculator's density and SG outputs plug straight into the second formula's SG term if you need to match a Baumé-marked hydrometer or an older supplier chart — that's how "66° Baumé oil of vitriol," the historical name for concentrated commercial sulfuric acid, gets its name.
| Degrees Baumé | Specific gravity | Approx. H₂SO₄ (w/w) |
|---|---|---|
| 60 °Bé | 1.7059 | ≈77.9% |
| 64 °Bé | 1.7901 | ≈86.0% |
| 66 °Bé | 1.8354 | ≈94.4% ("66° Baumé oil of vitriol") |
H₂SO₄ density reference table (20°C)
| Concentration | Density | Specific gravity | g/L | Molarity |
|---|---|---|---|---|
| 0.00% | 0.9982 g/cm³ | 1.0000 | 0.0 g/L | 0.00 mol/L |
| 1.00% | 1.0051 g/cm³ | 1.0069 | 10.1 g/L | 0.10 mol/L |
| 2.00% | 1.0118 g/cm³ | 1.0136 | 20.2 g/L | 0.21 mol/L |
| 3.00% | 1.0184 g/cm³ | 1.0202 | 30.6 g/L | 0.31 mol/L |
| 4.00% | 1.0250 g/cm³ | 1.0268 | 41.0 g/L | 0.42 mol/L |
| 5.00% | 1.0317 g/cm³ | 1.0336 | 51.6 g/L | 0.53 mol/L |
| 6.00% | 1.0385 g/cm³ | 1.0404 | 62.3 g/L | 0.64 mol/L |
| 7.00% | 1.0453 g/cm³ | 1.0472 | 73.2 g/L | 0.75 mol/L |
| 8.00% | 1.0522 g/cm³ | 1.0541 | 84.2 g/L | 0.86 mol/L |
| 9.00% | 1.0591 g/cm³ | 1.0610 | 95.3 g/L | 0.97 mol/L |
| 10.00% | 1.0661 g/cm³ | 1.0680 | 106.6 g/L | 1.09 mol/L |
| 11.00% | 1.0731 g/cm³ | 1.0750 | 118.0 g/L | 1.20 mol/L |
| 12.00% | 1.0802 g/cm³ | 1.0821 | 129.6 g/L | 1.32 mol/L |
| 13.00% | 1.0874 g/cm³ | 1.0893 | 141.4 g/L | 1.44 mol/L |
| 14.00% | 1.0947 g/cm³ | 1.0967 | 153.3 g/L | 1.56 mol/L |
| 15.00% | 1.1020 g/cm³ | 1.1040 | 165.3 g/L | 1.69 mol/L |
| 16.00% | 1.1094 g/cm³ | 1.1114 | 177.5 g/L | 1.81 mol/L |
| 17.00% | 1.1168 g/cm³ | 1.1188 | 189.9 g/L | 1.94 mol/L |
| 18.00% | 1.1234 g/cm³ | 1.1254 | 202.2 g/L | 2.06 mol/L |
| 19.00% | 1.1318 g/cm³ | 1.1338 | 215.0 g/L | 2.19 mol/L |
| 20.00% | 1.1394 g/cm³ | 1.1414 | 227.9 g/L | 2.32 mol/L |
| 21.00% | 1.1471 g/cm³ | 1.1492 | 240.9 g/L | 2.46 mol/L |
| 22.00% | 1.1548 g/cm³ | 1.1569 | 254.1 g/L | 2.59 mol/L |
| 23.00% | 1.1626 g/cm³ | 1.1647 | 267.4 g/L | 2.73 mol/L |
| 24.00% | 1.1704 g/cm³ | 1.1725 | 280.9 g/L | 2.86 mol/L |
| 25.00% | 1.1783 g/cm³ | 1.1804 | 294.6 g/L | 3.00 mol/L |
| 26.00% | 1.1862 g/cm³ | 1.1883 | 308.4 g/L | 3.14 mol/L |
| 27.00% | 1.1942 g/cm³ | 1.1963 | 322.4 g/L | 3.29 mol/L |
| 28.00% | 1.2023 g/cm³ | 1.2045 | 336.6 g/L | 3.43 mol/L |
| 29.00% | 1.2104 g/cm³ | 1.2126 | 351.0 g/L | 3.58 mol/L |
| 30.00% | 1.2185 g/cm³ | 1.2207 | 365.5 g/L | 3.73 mol/L |
| 31.00% | 1.2267 g/cm³ | 1.2289 | 380.3 g/L | 3.88 mol/L |
| 32.00% | 1.2349 g/cm³ | 1.2371 | 395.2 g/L | 4.03 mol/L |
| 33.00% | 1.2432 g/cm³ | 1.2454 | 410.3 g/L | 4.18 mol/L |
| 34.00% | 1.2515 g/cm³ | 1.2537 | 425.5 g/L | 4.34 mol/L |
| 35.00% | 1.2599 g/cm³ | 1.2622 | 441.0 g/L | 4.50 mol/L |
| 36.00% | 1.2684 g/cm³ | 1.2707 | 456.6 g/L | 4.66 mol/L |
| 37.00% | 1.2769 g/cm³ | 1.2792 | 472.5 g/L | 4.82 mol/L |
| 38.00% | 1.2855 g/cm³ | 1.2878 | 488.5 g/L | 4.98 mol/L |
| 39.00% | 1.2941 g/cm³ | 1.2964 | 504.7 g/L | 5.15 mol/L |
| 40.00% | 1.3028 g/cm³ | 1.3051 | 521.1 g/L | 5.31 mol/L |
| 41.00% | 1.3116 g/cm³ | 1.3140 | 537.8 g/L | 5.48 mol/L |
| 42.00% | 1.3205 g/cm³ | 1.3229 | 554.6 g/L | 5.65 mol/L |
| 43.00% | 1.3294 g/cm³ | 1.3318 | 571.6 g/L | 5.83 mol/L |
| 44.00% | 1.3384 g/cm³ | 1.3408 | 588.9 g/L | 6.00 mol/L |
| 45.00% | 1.3476 g/cm³ | 1.3500 | 606.4 g/L | 6.18 mol/L |
| 46.00% | 1.3569 g/cm³ | 1.3593 | 624.2 g/L | 6.36 mol/L |
| 47.00% | 1.3663 g/cm³ | 1.3688 | 642.2 g/L | 6.55 mol/L |
| 48.00% | 1.3758 g/cm³ | 1.3783 | 660.4 g/L | 6.73 mol/L |
| 49.00% | 1.3854 g/cm³ | 1.3879 | 678.8 g/L | 6.92 mol/L |
| 50.00% | 1.3951 g/cm³ | 1.3976 | 697.6 g/L | 7.11 mol/L |
| 51.00% | 1.4049 g/cm³ | 1.4074 | 716.5 g/L | 7.31 mol/L |
| 52.00% | 1.4148 g/cm³ | 1.4173 | 735.7 g/L | 7.50 mol/L |
| 53.00% | 1.4248 g/cm³ | 1.4274 | 755.1 g/L | 7.70 mol/L |
| 54.00% | 1.4350 g/cm³ | 1.4376 | 774.9 g/L | 7.90 mol/L |
| 55.00% | 1.4453 g/cm³ | 1.4479 | 794.9 g/L | 8.10 mol/L |
| 56.00% | 1.4557 g/cm³ | 1.4583 | 815.2 g/L | 8.31 mol/L |
| 57.00% | 1.4662 g/cm³ | 1.4688 | 835.7 g/L | 8.52 mol/L |
| 58.00% | 1.4768 g/cm³ | 1.4794 | 856.5 g/L | 8.73 mol/L |
| 59.00% | 1.4875 g/cm³ | 1.4902 | 877.6 g/L | 8.95 mol/L |
| 60.00% | 1.4983 g/cm³ | 1.5010 | 899.0 g/L | 9.17 mol/L |
| 61.00% | 1.5091 g/cm³ | 1.5118 | 920.6 g/L | 9.39 mol/L |
| 62.00% | 1.5200 g/cm³ | 1.5227 | 942.4 g/L | 9.61 mol/L |
| 63.00% | 1.5310 g/cm³ | 1.5337 | 964.5 g/L | 9.83 mol/L |
| 64.00% | 1.5421 g/cm³ | 1.5449 | 986.9 g/L | 10.06 mol/L |
| 65.00% | 1.5533 g/cm³ | 1.5561 | 1009.6 g/L | 10.29 mol/L |
| 66.00% | 1.5646 g/cm³ | 1.5674 | 1032.6 g/L | 10.53 mol/L |
| 67.00% | 1.5760 g/cm³ | 1.5788 | 1055.9 g/L | 10.77 mol/L |
| 68.00% | 1.5874 g/cm³ | 1.5902 | 1079.4 g/L | 11.01 mol/L |
| 69.00% | 1.5989 g/cm³ | 1.6018 | 1103.2 g/L | 11.25 mol/L |
| 70.00% | 1.6105 g/cm³ | 1.6134 | 1127.4 g/L | 11.49 mol/L |
| 71.00% | 1.6221 g/cm³ | 1.6250 | 1151.7 g/L | 11.74 mol/L |
| 72.00% | 1.6338 g/cm³ | 1.6367 | 1176.3 g/L | 11.99 mol/L |
| 73.00% | 1.6456 g/cm³ | 1.6486 | 1201.3 g/L | 12.25 mol/L |
| 74.00% | 1.6574 g/cm³ | 1.6604 | 1226.5 g/L | 12.50 mol/L |
| 75.00% | 1.6692 g/cm³ | 1.6722 | 1251.9 g/L | 12.76 mol/L |
| 76.00% | 1.6810 g/cm³ | 1.6840 | 1277.6 g/L | 13.03 mol/L |
| 77.00% | 1.6927 g/cm³ | 1.6957 | 1303.4 g/L | 13.29 mol/L |
| 78.00% | 1.7043 g/cm³ | 1.7074 | 1329.4 g/L | 13.55 mol/L |
| 79.00% | 1.7158 g/cm³ | 1.7189 | 1355.5 g/L | 13.82 mol/L |
| 80.00% | 1.7270 g/cm³ | 1.7301 | 1381.6 g/L | 14.09 mol/L |
| 81.00% | 1.7383 g/cm³ | 1.7414 | 1408.0 g/L | 14.36 mol/L |
| 82.00% | 1.7491 g/cm³ | 1.7522 | 1434.3 g/L | 14.62 mol/L |
| 83.00% | 1.7594 g/cm³ | 1.7626 | 1460.3 g/L | 14.89 mol/L |
| 84.00% | 1.7693 g/cm³ | 1.7725 | 1486.2 g/L | 15.15 mol/L |
| 85.00% | 1.7786 g/cm³ | 1.7818 | 1511.8 g/L | 15.41 mol/L |
| 86.00% | 1.7872 g/cm³ | 1.7904 | 1537.0 g/L | 15.67 mol/L |
| 87.00% | 1.7951 g/cm³ | 1.7983 | 1561.7 g/L | 15.92 mol/L |
| 88.00% | 1.8022 g/cm³ | 1.8054 | 1585.9 g/L | 16.17 mol/L |
| 89.00% | 1.8087 g/cm³ | 1.8119 | 1609.7 g/L | 16.41 mol/L |
| 90.00% | 1.8144 g/cm³ | 1.8177 | 1633.0 g/L | 16.65 mol/L |
| 91.00% | 1.8195 g/cm³ | 1.8228 | 1655.7 g/L | 16.88 mol/L |
| 92.00% | 1.8240 g/cm³ | 1.8273 | 1678.1 g/L | 17.11 mol/L |
| 93.00% | 1.8279 g/cm³ | 1.8312 | 1699.9 g/L | 17.33 mol/L |
| 94.00% | 1.8312 g/cm³ | 1.8345 | 1721.3 g/L | 17.55 mol/L |
| 95.00% | 1.8337 g/cm³ | 1.8370 | 1742.0 g/L | 17.76 mol/L |
| 96.00% | 1.8355 g/cm³ | 1.8388 | 1762.1 g/L | 17.97 mol/L |
| 97.00% | 1.8364 g/cm³ | 1.8397 | 1781.3 g/L | 18.16 mol/L |
| 98.00% | 1.8361 g/cm³ | 1.8394 | 1799.4 g/L | 18.35 mol/L |
| 99.00% | 1.8342 g/cm³ | 1.8375 | 1815.9 g/L | 18.51 mol/L |
| 100.00% | 1.8305 g/cm³ | 1.8338 | 1830.5 g/L | 18.66 mol/L |
Sources: Density–concentration data: engineering reference tables for aqueous sulfuric acid at 20 °C (1% steps, consistent with Perry's Chemical Engineers' Handbook-style tables), cross-checked against independent industrial references. Note the real density maximum near 97 wt%.
Frequently asked questions
Why is this table based on 20°C instead of my process temperature?
20°C is the standard reference temperature used by essentially every published aqueous-density reference, so every table shares a common, comparable baseline. Sulfuric acid density is temperature-sensitive — a hot batch reads less dense than a cold one at the same concentration, and concentrated H₂SO₄ can self-heat significantly on dilution — so a reading taken far from 20°C will be off. For routine dosing and tank checks this table is accurate enough as-is; let the sample cool to room temperature first for a tighter result.
What is the difference between density and specific gravity?
Density is mass per volume with real units (g/cm³). Specific gravity (SG) is a unitless ratio — the acid's density divided by the density of water under a reference condition, here 20°C water at 0.9982 g/cm³. Because water's density is so close to 1, density in g/cm³ and SG end up numerically close, but they aren't the same quantity: a hydrometer marked "SG" or "Baumé" reads a ratio, not grams per milliliter.
How does this relate to Baumé degrees on an old hydrometer?
For liquids denser than water, °Bé = 145 − (145 / SG), or the other way, SG = 145 / (145 − °Bé). Sulfuric acid has a famous benchmark on this scale: "66° Baumé" oil of vitriol, the historical name for concentrated commercial sulfuric acid, which works out to roughly 94% H₂SO₄ (SG ≈ 1.84) on this page's table. This calculator reports density and SG directly — run either figure through the formula above if you need to match an old Baumé-labeled chart or tank gauge.
Why does density peak near 97% instead of climbing all the way to 100%?
This is a real, repeatable property of the H₂SO₄/water system, not a data error. Near the top of the concentration range, the small amount of remaining water is tightly bound to H₂SO₄ molecules through hydrogen bonding, which packs the mixture unusually dense; as the last bit of water is removed heading toward 100%, that packing effect fades and pure H₂SO₄ itself is slightly less dense than the near-100% hydrated mixture. The result is a density curve that rises, peaks around 97 wt% (≈1.8364 g/cm³ at 20°C), and then eases back down to 1.8305 g/cm³ at 100%.
Why did the calculator show me two possible concentrations for one density reading?
Because density peaks and then declines, a density value between roughly 1.8305 and 1.8364 g/cm³ sits on the curve twice — once on the way up (below the peak) and once on the way back down (above the peak). Rather than silently guessing which side you meant, the calculator solves both branches and shows both answers when this happens. If you know roughly what concentration to expect (freshly diluted stock acid is almost always below the peak; a near-fuming, highly concentrated batch is more likely above it), pick the branch that matches. When it truly matters, confirm with an independent check such as titration.
How accurate is a value computed between two table rows?
Linear interpolation between two closely spaced, independently measured points tracks the true curve closely — the error from treating a short segment as a straight line is far smaller than typical field-measurement error. This table steps in 1-percentage-point increments across the full 0–100% range, which is tight enough for process dosing, tank inventory, and QC; for certified analytical results, confirm with a lab titration.