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
Confirming a forklift battery's charge state
A technician dips a hydrometer into a freshly-charged traction battery cell and reads SG 1.265 — the spec-sheet value for a fully charged cell — and needs the equivalent H₂SO₄ strength for the service log.
- Measured SG
- 1.265
- Basis
- 20°C
≈ 35.33% w/w, 4.55 mol/L
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.
That flatness is more dramatic than the chart makes it look. From 95% to 99%, the entire density curve spans only 1.8337 to 1.8364 g/cm³ — a swing of roughly 0.003 g/cm³, well inside the reading error of a typical field or drum-check hydrometer. In practice that means density alone usually can't tell 96% technical acid from 98% or 99% acid; a hydrometer confirms you're near the top of the range, not which specific grade is in the drum. Where the extra percent actually matters — invoicing an incoming shipment, or a process sensitive to trace water content — titration is the method that resolves it, not a finer-reading hydrometer.
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") |
From battery acid to drain cleaner: what the percentage on a label means
The 0–100% range on this table isn't an abstraction — it spans several products that get handled very differently. Fully charged lead-acid battery electrolyte sits at the dilute end, typically specified around SG 1.265–1.280 at 20°C, which this table puts at roughly 35–37% w/w H₂SO₄ (the worked example above runs the exact conversion). That's deliberately weak: the electrolyte has to stay conductive and non-boiling across a wide charge and temperature swing, and anything much more concentrated would attack the plates and separators faster than the battery's rated life allows.
At the other end of the shelf, sulfuric-acid drain openers sold for clearing grease clogs are simply concentrated technical-grade acid — typically in the 90–98% range covered by the upper rows of this table, chemically identical to the contact-process tank acid in the first worked example above, just repackaged into a smaller bottle with a hazard label. There's no meaningful chemical difference between "drain-opener grade" and "industrial grade" at the same percentage; treat a drain-cleaner bottle with full concentrated-acid precautions, because it genuinely is one.
One thing this table doesn't cover: oleum, or fuming sulfuric acid, sold by a rating like "20% oleum." That percentage refers to free SO₃ dissolved in 100% H₂SO₄ — a different chemical system from acid-in-water — so treat any oleum figure as outside this calculator's 0–100% w/w range rather than an extrapolation of it.
Diluting any of these grades down releases real heat, and the order you combine them in is not a formatting preference. Add acid to a larger volume of water, slowly, with stirring — never the reverse — because pouring water onto concentrated acid can flash-boil at the point of contact and throw acid back out of the vessel. The acid dilution safety guide works through the actual heat released by a 1:1 H₂SO₄ dilution and the PPE and container choices that follow from it; the volume math for hitting a target strength — including why "dilute to the mark" isn't the same as "add this much water" — is in dilution math that survives the shop floor.
A short list of what actually skews a reading in the field:
- Reading density right after mixing. Sulfuric acid self-heats on dilution; a hot sample reads less dense than it really is, understating the concentration until it cools back to 20°C.
- Treating an old drum's Baumé rating as SG. °Bé and SG are related but not equal — run the Baumé figure through the conversion above before typing it into the density field.
- Assuming % w/w and % w/v mean the same thing. At this acid's density they diverge by nearly a factor of two near the top of the range — see dilution math that survives the shop floor for why that gap opens up.
- Picking the wrong branch above the peak. A density between about 1.8337 and 1.8364 g/cm³ genuinely fits two concentrations — see the FAQ below rather than assuming the calculator's first answer is the only one.
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 | 1.0894 | 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 | 1.1415 | 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 | 1.1964 | 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 | 1.2538 | 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 | 1.4174 | 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 | 1.4795 | 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 | 1.5338 | 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 | 1.5903 | 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 | 1.6958 | 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 | 1.7523 | 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 | 1.8120 | 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%. Validation spot-check: the high-concentration anchors used here — 1.8144 g/cm³ at 90%, 1.8337 g/cm³ at 95%, and 1.8361 g/cm³ at 98% — match the values published in the CRC Handbook of Chemistry and Physics' aqueous sulfuric acid density table, the standard independent cross-check for this range.
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.
Is drain-cleaner sulfuric acid the same thing as battery acid?
Chemically, yes — both are just aqueous H₂SO₄, and this one table covers both ends of that range. They differ enormously in strength, not identity. Fully charged automotive or forklift battery electrolyte is deliberately dilute, around 35–37% w/w (SG 1.265–1.280), so it stays conductive without eating the plates. Sulfuric-acid drain openers, by contrast, are sold as concentrated technical-grade acid, typically in the 90–98% w/w range — essentially the same commodity acid used in tank and process work, just bottled for retail. Treat a drain-cleaner bottle with full concentrated-acid precautions; unlike some other household chemicals, it isn't diluted down for consumer safety.
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.