NaOH Concentration Calculator
Enter a % concentration to get density, specific gravity, g/L, and molarity — or enter a measured density to solve for concentration.
Reading the result: range, temperature, and what to double-check
What 20°C buys you, and where the table stops
Every row behind this calculator was measured — or sits between two points that were measured — at 20°C. That's not an arbitrary lab convention: it's close to the near-universal reference temperature for aqueous-density literature, which is exactly why it's useful. A number read off this page lines up directly against a supplier data sheet, an old Baumé chart, or the hydrochloric acid or sulfuric acid calculators on this site, without a conversion step, because they're all anchored to the same 20°C basis.
Density still moves with temperature, though. Like most concentrated aqueous electrolyte solutions, caustic soda gets measurably less dense as it warms — on the rough order of a few tenths of a percent per 10°C in the mid-concentration range, enough to matter at tight tolerances even though it won't wreck a field check. If you're gauging a hot tank, a sample fresh off a heat-traced line, or a tote that just came off a delivery truck in July, let it settle to room temperature before you read it against this table, or expect the reading to run a little light.
The table stops at 50.5% w/w on purpose. That's the extent of the measured source data, and it also sits right at the practical ceiling for liquid caustic soda at ambient temperature: 50% caustic is the standard bulk commercial grade specifically because it's the strongest concentration that reliably stays liquid without heat tracing through an ordinary winter. Industry literature puts the freezing point of 50% caustic soda around 12°C (54°F) — already warm enough that most bulk tanks and rail cars carry insulation or trace heating regardless. Push past 50%, and NaOH solutions crystallize even more readily, which is why more concentrated product ships as solid flake or prill instead of solution. Don't extrapolate this calculator above 50.5% — you'd be reading a curve the source data never measured, in a strength band that barely exists as a liquid outside a heated vessel.
If your caustic lives in a bulk storage tank rather than a tote, the same idea — convert a physical reading into a quantity — carries over to inventory gauging. A strapping chart converts a dip reading to volume the same way this table converts a density reading to concentration, and some plants correct that strapping-chart volume for the actual density of what's in the tank rather than assuming water. See the tank strapping chart calculator and the guide to reading tank dip charts if that's the reading you're translating.
Two mixups that quietly wreck this calculation
% w/w vs. % w/v. Every figure on this page — in the table, in the calculator, on a technical NaOH spec sheet — is % w/w: grams of NaOH per 100 grams of total solution. That's a different quantity from % w/v (grams of NaOH per 100 mL of solution), and the two pull apart fast as the solution gets dense. Take the strongest row in the table: 50.5% w/w NaOH has a density of 1.53 g/cm³, which works out to 772.65 g of NaOH per liter of solution — divide by 10 and that's a 77.3% w/v figure for the same drum. Mix up which basis a spec sheet is quoting on a strong caustic solution and you're not off by a rounding error, you're off by more than half. The confusion does the most damage exactly where it matters most, because dilute solutions (density close to 1.00) make w/w and w/v nearly interchangeable — the very habit that gets people in trouble once they move up to commercial strength. Working from a stock solution rather than a fresh drum figure? The solution dilution calculator and the guide to dilution math in practice both work in mass or volume explicitly, rather than letting the two blur together.
Treating a warm reading as a 20°C reading. A hydrometer dropped into a tote straight off a delivery truck, or a sample pulled from a heat-traced day tank, reads warm — and because density falls as temperature rises, a warm sample of a given solution reads less dense than it would at 20°C. Run that reading through this table and you'll compute a % concentration that's too low for what's actually in the tank (a cold sample skews the other way, too high). For anything beyond a rough field check, let the sample reach room temperature first, or log the actual sample temperature alongside the reading so a wrong-temperature number doesn't get treated as gospel later in the paperwork.
Worked examples
Preparing 25% membrane-grade caustic soda
A chlor-alkali operator needs to know the density and molarity of a 25% NaOH stream before it's metered into a mixing line.
- Concentration
- 25% w/w
- Basis
- 20°C
≈ 1.2739 g/cm³ (SG 1.276), 7.96 mol/L
Checking a caustic tote with a hydrometer
A warehouse tech dips a hydrometer into an unlabeled tote and reads 1.30 g/cm³ — they need the % concentration for the shipping paperwork.
- Measured density
- 1.30 g/cm³
- Basis
- 20°C
≈ 27.41% w/w, 8.91 mol/L
Sizing a CIP caustic wash batch
A brewery's clean-in-place program specifies a 2.0% w/w caustic wash. The sanitation skid doses 50% bulk caustic into the day tank by weight on load cells, but the tank's sight gauge reads a level, not a mass — the technician needs the wash solution's density to convert the target batch weight into a fill height.
- Concentration
- 2.0% w/w
- Basis
- 20°C
≈ 1.0207 g/cm³ (SG 1.023), 0.51 mol/L
How the calculator works
The reference table lists independently measured density values at specific weight-percent points, all at 20°C. Real solutions rarely follow one tidy algebraic formula across their whole range — ion-solvent interactions change how tightly the mixture packs as concentration rises — so instead of forcing a single curve-fit, the calculator brackets your input between the two nearest table rows and interpolates linearly across that short segment, which stays accurate wherever adjacent points aren't too far apart. The same nonideal-mixing effect, where combined volumes don't just add together, shows up in other aqueous systems too — most visibly in ethanol-water blends; see the guide to alcohol-water volume contraction for that version of the story.
Once density is 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 NaOH, and dividing by NaOH's molar mass (39.997 g/mol) gives moles per liter. The same 20°C interpolation method, and the same reasoning for using linear segments rather than one global formula, underlies this site's hydrochloric acid and sulfuric acid concentration calculators.
M = 10 × density × wt% / 39.997
Validation: checking this against published reference points
Rather than trust the interpolation blind, it's worth checking it against a number that comes from an independent published source. The 10% w/w row is a good test case, because 1.1089 g/cm³ is one of the most frequently reproduced figures in the aqueous-NaOH literature — it traces back to the CRC Handbook of Chemistry and Physics's concentrative-properties tables and turns up, largely unchanged, in chemical-engineering references from Perry's to modern process-design texts. Feed 10.00% into the calculator above — or interpolate it by hand between this table's 9.19%/1.10 g/cm³ and 10.10%/1.11 g/cm³ rows — and the result is 1.1089 g/cm³, matching the published figure to all four decimal places.
The high end checks out the same way. 50% w/w caustic soda, the standard bulk commercial grade, is documented across supplier data sheets in the 1.525–1.530 g/cm³ band at 20°C. This table's own compilation notes flag the same spot check: interpolating to exactly 50.0% returns 1.5253 g/cm³, squarely inside that band, and the adjacent measured row (50.5% → 1.5300 g/cm³) confirms the curve isn't drifting as it approaches the top of the range.
Two points don't make a full validation study, but they bracket the range this calculator actually gets used for — dilute process streams at one end, commercial-strength bulk caustic at the other — and both land on the published figure within noise. That's a stronger check than a single spot-check at one concentration: interpolation error, if the underlying curve were poorly approximated, would tend to show up worse at one end of the range than the other, and it doesn't here.
Baumé (°Bé) ↔ specific gravity
Caustic soda has long been bought 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 "50° Baumé caustic," the classic commercial grade of roughly 50% NaOH, gets its name.
| Degrees Baumé | Specific gravity | Approx. NaOH (w/w) |
|---|---|---|
| 30 °Bé | 1.2609 | ≈23.6% |
| 40 °Bé | 1.3810 | ≈34.9% |
| 50 °Bé | 1.5263 | ≈49.8% ("50° Baumé caustic") |
NaOH 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 |
| 0.16% | 1.0000 g/cm³ | 1.0018 | 1.6 g/L | 0.04 mol/L |
| 1.04% | 1.0100 g/cm³ | 1.0118 | 10.6 g/L | 0.26 mol/L |
| 1.94% | 1.0200 g/cm³ | 1.0218 | 19.8 g/L | 0.49 mol/L |
| 2.84% | 1.0300 g/cm³ | 1.0319 | 29.3 g/L | 0.73 mol/L |
| 3.75% | 1.0400 g/cm³ | 1.0419 | 38.9 g/L | 0.97 mol/L |
| 4.66% | 1.0500 g/cm³ | 1.0519 | 48.9 g/L | 1.22 mol/L |
| 5.56% | 1.0600 g/cm³ | 1.0619 | 58.9 g/L | 1.47 mol/L |
| 6.47% | 1.0700 g/cm³ | 1.0719 | 69.2 g/L | 1.73 mol/L |
| 7.38% | 1.0800 g/cm³ | 1.0819 | 79.7 g/L | 1.99 mol/L |
| 8.28% | 1.0900 g/cm³ | 1.0920 | 90.3 g/L | 2.26 mol/L |
| 9.19% | 1.1000 g/cm³ | 1.1020 | 101.1 g/L | 2.53 mol/L |
| 10.10% | 1.1100 g/cm³ | 1.1120 | 112.1 g/L | 2.80 mol/L |
| 11.01% | 1.1200 g/cm³ | 1.1220 | 123.3 g/L | 3.08 mol/L |
| 11.92% | 1.1300 g/cm³ | 1.1320 | 134.7 g/L | 3.37 mol/L |
| 12.83% | 1.1400 g/cm³ | 1.1421 | 146.3 g/L | 3.66 mol/L |
| 13.73% | 1.1500 g/cm³ | 1.1521 | 157.9 g/L | 3.95 mol/L |
| 14.64% | 1.1600 g/cm³ | 1.1621 | 169.8 g/L | 4.25 mol/L |
| 15.54% | 1.1700 g/cm³ | 1.1721 | 181.8 g/L | 4.55 mol/L |
| 16.44% | 1.1800 g/cm³ | 1.1821 | 194.0 g/L | 4.85 mol/L |
| 17.34% | 1.1900 g/cm³ | 1.1921 | 206.4 g/L | 5.16 mol/L |
| 18.25% | 1.2000 g/cm³ | 1.2022 | 219.1 g/L | 5.48 mol/L |
| 19.16% | 1.2100 g/cm³ | 1.2122 | 231.8 g/L | 5.80 mol/L |
| 20.07% | 1.2200 g/cm³ | 1.2222 | 244.9 g/L | 6.12 mol/L |
| 20.98% | 1.2300 g/cm³ | 1.2322 | 258.1 g/L | 6.45 mol/L |
| 21.90% | 1.2400 g/cm³ | 1.2422 | 271.6 g/L | 6.79 mol/L |
| 22.82% | 1.2500 g/cm³ | 1.2523 | 285.3 g/L | 7.13 mol/L |
| 23.73% | 1.2600 g/cm³ | 1.2623 | 299.0 g/L | 7.48 mol/L |
| 24.64% | 1.2700 g/cm³ | 1.2723 | 313.0 g/L | 7.83 mol/L |
| 25.56% | 1.2800 g/cm³ | 1.2823 | 327.2 g/L | 8.18 mol/L |
| 26.48% | 1.2900 g/cm³ | 1.2923 | 341.6 g/L | 8.54 mol/L |
| 27.41% | 1.3000 g/cm³ | 1.3023 | 356.3 g/L | 8.91 mol/L |
| 28.33% | 1.3100 g/cm³ | 1.3124 | 371.1 g/L | 9.28 mol/L |
| 29.26% | 1.3200 g/cm³ | 1.3224 | 386.2 g/L | 9.66 mol/L |
| 30.20% | 1.3300 g/cm³ | 1.3324 | 401.7 g/L | 10.04 mol/L |
| 31.14% | 1.3400 g/cm³ | 1.3424 | 417.3 g/L | 10.43 mol/L |
| 32.10% | 1.3500 g/cm³ | 1.3524 | 433.4 g/L | 10.83 mol/L |
| 33.06% | 1.3600 g/cm³ | 1.3625 | 449.6 g/L | 11.24 mol/L |
| 34.03% | 1.3700 g/cm³ | 1.3725 | 466.2 g/L | 11.66 mol/L |
| 35.01% | 1.3800 g/cm³ | 1.3825 | 483.1 g/L | 12.08 mol/L |
| 36.00% | 1.3900 g/cm³ | 1.3925 | 500.4 g/L | 12.51 mol/L |
| 36.99% | 1.4000 g/cm³ | 1.4025 | 517.9 g/L | 12.95 mol/L |
| 37.99% | 1.4100 g/cm³ | 1.4125 | 535.7 g/L | 13.39 mol/L |
| 38.99% | 1.4200 g/cm³ | 1.4226 | 553.7 g/L | 13.84 mol/L |
| 40.00% | 1.4300 g/cm³ | 1.4326 | 572.0 g/L | 14.30 mol/L |
| 41.03% | 1.4400 g/cm³ | 1.4426 | 590.8 g/L | 14.77 mol/L |
| 42.07% | 1.4500 g/cm³ | 1.4526 | 610.0 g/L | 15.25 mol/L |
| 43.12% | 1.4600 g/cm³ | 1.4626 | 629.6 g/L | 15.74 mol/L |
| 44.17% | 1.4700 g/cm³ | 1.4727 | 649.3 g/L | 16.23 mol/L |
| 45.22% | 1.4800 g/cm³ | 1.4827 | 669.3 g/L | 16.73 mol/L |
| 46.27% | 1.4900 g/cm³ | 1.4927 | 689.4 g/L | 17.24 mol/L |
| 47.33% | 1.5000 g/cm³ | 1.5027 | 709.9 g/L | 17.75 mol/L |
| 48.38% | 1.5100 g/cm³ | 1.5127 | 730.5 g/L | 18.26 mol/L |
| 49.44% | 1.5200 g/cm³ | 1.5227 | 751.5 g/L | 18.79 mol/L |
| 50.50% | 1.5300 g/cm³ | 1.5328 | 772.7 g/L | 19.32 mol/L |
Sources: Density–concentration data: compiled aqueous sodium hydroxide references at 20 °C, cross-checked against independent published tables. 0% anchored to the standard density of water (0.9982 g/cm³ at 20°C).
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 — it gives every table a common, comparable baseline. Density is temperature-dependent (hot caustic is less dense than cold caustic at the same concentration), so a reading taken well above or below 20°C will be off by a small, temperature-dependent amount. For routine dosing and QC this table is accurate enough as-is; for tight lab work, let the sample equilibrate to room temperature before measuring, or apply a separate thermal-expansion correction.
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 solution'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 for aqueous solutions, but they aren't the same quantity: a hydrometer marked "SG" is reading that ratio directly, not grams per milliliter.
How does this relate to Baumé degrees on an old hydrometer?
Caustic soda has long been sold and dosed by Baumé hydrometer reading. For liquids denser than water, the conversion is °Bé = 145 − (145 / SG); rearranged, SG = 145 / (145 − °Bé). A classic example: 50% NaOH (SG ≈ 1.53) works out to roughly 50 °Bé — "50° Baumé caustic" is exactly this grade, and it's the figure many suppliers still quote on a shipping tank. This calculator outputs density and SG directly — run either through the formula above if you need a Baumé figure to match an old chart.
Why isn't the density-vs-concentration relationship a straight line?
If NaOH and water mixed with zero volume change, density would scale linearly with concentration. Real solutions don’t: as Na⁺ and OH⁻ ions dissolve, they pull water molecules into tighter hydration shells, so the mixture packs measurably denser than a simple weighted average predicts, and that packing effect itself changes with concentration. That is why the table uses closely spaced real measurements and this calculator interpolates linearly only between two adjacent rows, rather than fitting one formula across the whole 0–50.5% range.
My hydrometer reading and my titration result don’t quite agree — why?
A few small errors stack up on a hydrometer: the sample being off 20°C, a calibration drift in the float, or misreading the meniscus can each shift the result by a few tenths of a percent. Titration measures the NaOH content directly through a chemical reaction and is generally the more accurate method when the two disagree — treat the hydrometer/density route as a fast field check, not a lab-certified result.
How accurate is a value computed between two table rows?
Linear interpolation between two closely spaced, independently measured points is very close to the true curve — the error from treating a short segment as a straight line is far smaller than typical field-measurement error. The source data here steps in roughly 1-point-density increments, which is tight enough for process dosing, tank inventory, and QC checks; for certified analytical work, pair this with a lab titration.