Industrial, Logistics & Plant Operations Oil, Gas & Drilling API MPMS Chapter 11.1 volume correction; API gravity defined at 60/60 °F

API Gravity Calculator

API gravity is an inverted density scale built so that heavier oil gets a lower number and 10 °API is exactly the density of water. This calculator converts in any direction between API gravity, specific gravity at 60/60 °F and density in kg/m³, then derives the two figures a scheduler actually trades on: pounds per US gallon and barrels per metric tonne. It also corrects an observed volume back to the 60 °F standard basis using the API volume correction factor, so a truck ticket taken at 90 °F becomes a net standard volume you can invoice.

Calculator

This calculator runs in your browser. Enable JavaScript for live results — the inputs, formula and worked example below remain fully readable without it.

Inputs this calculator takes, with typical values
InputWhat to enterExample
What do you know?Pick the measurement you have; the other two are derived from it.API gravity
API gravityThe hydrometer reading corrected to 60 °F, as it appears on the assay or the tank ticket.32 °API
Specific gravity at 60/60 °FDensity of the oil divided by the density of water, both at 60 °F.0.8654
Density at 60 °FLaboratory density on the 60 °F basis. Densities quoted at 15 °C differ slightly.864.6 kg/m³
Observed temperatureTemperature at which the volume was measured. Leave at 60 °F for no correction.60 °F
Observed volumeGross volume measured at the observed temperature, before correction to the 60 °F basis.1000 bbl

It returns

  • API gravity — 141.5 ÷ specific gravity − 131.5, on the 60/60 °F basis.
  • Specific gravity at 60/60 °F
  • Density at 60 °F
  • Pounds per US gallon
  • Barrels per metric tonne
  • Volume correction factor to 60 °F — Multiply gross observed volume by this to reach net standard volume.
  • Net standard volume at 60 °F
  • Mass of that volume

The formula

API=141.5SG131.5
SG=141.5API+131.5
VCF=eαΔT(1+0.8αΔT)

In plain text: API gravity = 141.5 ÷ SG(60/60 °F) − 131.5

  • APIAPI gravity, an inverted density scale (°API)
  • SGSpecific gravity of the oil relative to water, both at 60 °F (dimensionless)

The two constants are chosen so that 10 °API corresponds to SG = 1.000 exactly. Both the oil and the water are at 60 °F, which is what the 60/60 notation means.

Updated Category Oil, Gas & Drilling Verified against published test cases Reading time 11 min

Why the oil industry measures density backwards

API gravity is density expressed on an inverted, stretched scale. A light condensate might read 55 °API and a heavy Venezuelan crude 9 °API, and the higher number is the lighter fluid. The scale was adopted by the American Petroleum Institute so that hydrometer readings on a linear stem would spread the commercially interesting range of crude oils across a wide span of numbers rather than crowding them between 0.80 and 1.00 specific gravity.

The two constants are not arbitrary. API = 141.5 ÷ SG − 131.5 is constructed so that SG = 1.000 gives exactly 10 °API. That single anchor is worth remembering, because it tells you instantly whether an oil floats: above 10 °API it is lighter than fresh water, below 10 it sinks.

The reason gravity matters commercially is that it correlates with what a refinery can make. Lighter crudes yield more naphtha, gasoline and middle distillate per barrel and less residue, so they normally command a premium over heavy crudes of similar sulphur content. Gravity is one of the two headline numbers in every crude assay — the other is sulphur — and together they place a crude in the sweet/sour and light/heavy quadrants that price differentials are quoted against.

Gravity is also how the industry moves between the two units it trades in. Oil is bought by volume in barrels in the Americas and by mass in tonnes almost everywhere else, and the conversion between them is nothing more than density. That conversion is why a scheduler cares about the third decimal place.

The four conversions, and the 60 °F basis behind all of them

API to specific gravity. Rearranging the definition gives SG = 141.5 ÷ (API + 131.5). Both forms assume the 60/60 °F basis: oil at 60 °F compared with water at 60 °F. Quote a gravity without a temperature and you have quoted nothing, because oil expands roughly half a percent for every 10 °F.

Specific gravity to density. Multiply by the density of water at 60 °F, 999.016 kg/m³. Note this is not 1,000 — water is densest at about 39 °F and has already expanded slightly by 60 °F. Using 1,000 introduces a consistent 0.1% error, which is invisible in a lab report and material on a 700,000 barrel cargo.

Density to pounds per gallon. One US gallon is 0.0037854118 m³, and one kilogram is 2.20462 lb, so lb/gal = density × 0.0037854118 × 2.20462. Water at 60 °F comes out at 8.3372 lb/gal, and a 32 °API crude at 7.2154 lb/gal. Truck and rail loading calculations run in these units.

Density to barrels per tonne. A tonne occupies 1,000 ÷ density cubic metres, and one cubic metre is 6.2898108 barrels, so bbl/t = 6,289.8108 ÷ density. A 32 °API crude gives 7.27489 bbl per tonne. This is the number that turns a cargo quoted in tonnes into a volume you can schedule into tankage.

Temperature correction. Volumes measured at any temperature other than 60 °F must be corrected before they can be compared or invoiced. The API approach computes a thermal expansion coefficient from the 60 °F density, α = K₀ ÷ ρ₆₀², using the crude-oil group value K₀ = 341.0957 with K₁ = 0, then applies VCF = exp[−α·ΔT·(1 + 0.8·α·ΔT)]. Multiply gross observed volume by the VCF to get net standard volume. Because API gravity is already defined at 60 °F, no iteration is needed here — the density the coefficient needs is the one you started from.

Worked example: 1,000 barrels of 32 °API crude measured at 90 °F

A truck ticket shows 1,000 gross barrels of a 32.0 °API crude, gauged at 90 °F. You need net standard volume, the mass in tonnes, and the loading density in pounds per gallon.

  1. Specific gravity. 141.5 ÷ (32.0 + 131.5) = 141.5 ÷ 163.5 = 0.865443.
  2. Density at 60 °F. 0.865443 × 999.016 = 864.592 kg/m³.
  3. Pounds per gallon. 864.592 × 0.0037854118 × 2.20462 = 7.2154 lb/gal.
  4. Barrels per tonne. 6,289.8108 ÷ 864.592 = 7.27489 bbl/t.
  5. Expansion coefficient. α = 341.0957 ÷ 864.592² = 341.0957 ÷ 747,519 = 4.56304 × 10⁻⁴ per °F.
  6. Temperature difference. ΔT = 90 − 60 = 30 °F, so α·ΔT = 0.0136891.
  7. Volume correction factor. exp[−0.0136891 × (1 + 0.8 × 0.0136891)] = exp[−0.0138390] = 0.986256.
  8. Net standard volume. 1,000 × 0.986256 = 986.256 bbl at 60 °F.
  9. Mass. 986.256 ÷ 7.27489 = 135.570 tonnes.

The correction is worth 13.7 barrels on this ticket, about 1.4% of the volume. On a 700,000 barrel cargo the same 30 °F would be roughly 9,600 barrels — the reason net standard volume, not gross observed volume, is what appears on an invoice.

Check the mass a second way to make sure the chain holds. 986.256 bbl × 0.158987295 m³/bbl = 156.803 m³, and 156.803 × 864.592 kg/m³ = 135,570 kg = 135.57 tonnes. The two routes agree, which they must, because barrels per tonne is just the reciprocal of density in different clothing.

Reading the gravity number

The conventional bands are light above 31.1 °API, medium from 22.3 to 31.1, heavy below 22.3, and extra heavy below 10 where the oil is denser than water. These boundaries are industry convention rather than a standard with the force of a specification, and individual pipelines, refineries and price benchmarks all draw their own lines, so treat them as orientation rather than as a rule.

What the bands really encode is transportability and yield. Above about 30 °API a crude flows in a pipeline at ambient temperature and yields a high proportion of light products. Between 20 and 30 it usually still flows but the yield slate is heavier. Below about 20 the viscosity rises sharply and the crude needs heating, diluent or upgrading to move at all — which is why extra-heavy production is typically blended with condensate to reach a pipeline specification gravity rather than shipped neat.

Do not read gravity as a proxy for quality on its own. Sulphur content, acidity, metals and pour point all matter, and a light sour crude can be worth less than a medium sweet one at the same refinery. Gravity tells you about density and, loosely, about the yield slate; it says nothing about what has to be taken out.

Watch the temperature basis whenever you compare figures from different sources. API gravity is defined at 60 °F, which is 15.56 °C, while many laboratories outside North America report density at 15 °C. The two differ by about 0.5 kg/m³ for a typical crude — small, but enough to move an API gravity in the second decimal place, and enough to matter when a contract has a gravity-based price adjustment.

API gravity, specific gravity, density and volumetric conversions

All values on the 60 °F basis, using 999.016 kg/m³ for water at 60 °F and 0.158987295 m³ per barrel.
°APISpecific gravityDensity (kg/m³)lb per US galbbl per tonne
8.01.014341013.348.45676.2070
10.01.00000999.028.33726.2960
15.00.96587964.928.05266.5185
20.00.93399933.077.78696.7410
22.30.92003919.127.67046.8433
25.00.90415903.267.53816.9634
30.00.87616875.307.30477.1859
31.10.87023869.387.25537.2348
35.00.84985849.017.08547.4084
40.00.82507824.266.87887.6308
45.00.80170800.916.68397.8533
50.00.77961778.856.49988.0758

Every row is produced by running the same conversions this calculator uses: SG = 141.5 ÷ (API + 131.5), density = SG × 999.016, lb/gal = density × 0.0037854118 × 2.20462, bbl/t = 6,289.8108 ÷ density. The 22.3 and 31.1 rows are the conventional heavy/medium and medium/light boundaries.

Assumptions, limits and traps

  • Gravity without a temperature is meaningless. API gravity is defined at 60 °F. A hydrometer reading taken at tank temperature must be corrected before it becomes an API gravity.
  • 60 °F is not 15 °C. It is 15.56 °C, and densities reported on the two bases differ by roughly 0.5 kg/m³ for a typical crude.
  • Water at 60 °F is 999.016 kg/m³, not 1,000. Using 1,000 builds in a consistent 0.1% bias in every density and tonnage.
  • The volume correction here uses the crude-oil group coefficient. Refined products, jet fuel, gasoline and lubricating oils each have their own coefficients, and using the crude value on a product volume is wrong.
  • This is not a custody transfer calculation. Custody transfer follows the edition of API MPMS your contract names, including its rounding and implementation rules, and normally also applies a pressure correction and a sediment-and-water deduction.
  • Blending is linear in density, not in API gravity. Blend two crudes and the volume-weighted density is right; the volume-weighted API gravity is not, because the scale is a reciprocal.
  • Barrels per tonne is a density conversion, not a constant. A single 'about 7.3 barrels per tonne' figure is only correct for one gravity.

Blending: average the densities, not the gravities

This is the most common arithmetic error in crude scheduling. Blend 500 bbl of 20 °API with 500 bbl of 40 °API and the result is not 30 °API. Convert first: 20 °API is 933.07 kg/m³ and 40 °API is 824.26 kg/m³, so the volume-weighted density is (933.07 + 824.26) ÷ 2 = 878.67 kg/m³. That is SG 0.87953, which converts back to 141.5 ÷ 0.87953 − 131.5 = 29.38 °API, not 30. The gap grows with the spread between the components, because API gravity is a reciprocal function of density and the average of reciprocals is not the reciprocal of the average.

Where gravity feeds into the rest of the oilfield arithmetic

Density is the bridge between volume and everything else in a hydrocarbon system. In the wellbore it sets the hydrostatic column: a fluid's hydrostatic pressure is density times height times gravity, which is why mud engineers work in pounds per gallon — the same unit this calculator produces — rather than in API gravity.

In the tank farm it sets the relationship between gauged height, volume and mass, and it is what makes a pipe or vessel volume convertible into a shipment weight. In the commercial office it sets the barrels-per-tonne factor that turns a cargo priced in dollars per barrel into one priced in dollars per tonne.

On the revenue side, gravity often appears directly in the price. Many crude purchase contracts carry a gravity adjustment that adds or deducts cents per barrel per degree of API away from a reference, which flows straight through to what a mineral owner receives — the mechanics of that flow are in the oil and gas royalty calculator.

For energy content, gravity is a weak proxy and should not be used as one. Lighter crudes have more energy per unit mass and less per unit volume, so the direction of the correlation depends on which basis you are asking about; the fuel BTU content calculator handles that properly using heating values rather than density.

Frequently asked questions

How do you convert API gravity to specific gravity?

Use SG = 141.5 ÷ (API + 131.5), with both fluids at 60 °F. A 32 °API crude gives 141.5 ÷ 163.5 = 0.865443. Reversing it, API = 141.5 ÷ SG − 131.5. The constants are chosen so that a specific gravity of exactly 1.000 corresponds to exactly 10 °API, which is the anchor point of the whole scale.

What does 10 °API mean?

It means the oil has the same density as fresh water at 60 °F, a specific gravity of exactly 1.000 and a density of 999.016 kg/m³. It is the pivot of the scale: above 10 °API the oil floats on water, below it sinks. Extra-heavy crude and bitumen sit below 10 and are normally blended with a light diluent before they can be transported.

How many barrels are in a metric tonne of crude oil?

It depends entirely on the gravity, because a tonne is a mass and a barrel is a volume. Divide 6,289.81 by the density in kg/m³: a 32 °API crude at 864.59 kg/m³ gives 7.275 bbl per tonne, while a heavy 15 °API crude gives 6.519 and a light 45 °API gives 7.853. There is no single conversion factor, and quoting one is a common source of cargo disputes.

Why is the reference temperature 60 °F?

Because the API scale and the US petroleum measurement system were built around it, and the 60/60 notation means the oil and the reference water are both at 60 °F. Sixty degrees Fahrenheit is 15.56 °C, so it is close to but not the same as the 15 °C basis used in many metric jurisdictions — a difference of roughly 0.5 kg/m³ for a typical crude, which is enough to shift an API gravity in the second decimal.

How much does crude oil volume change with temperature?

Roughly half a percent per 10 °F for a medium crude, and more for lighter oils. For a 32 °API crude the expansion coefficient is 4.563 × 10⁻⁴ per °F, so heating from 60 °F to 90 °F expands the volume by about 1.4% — the volume correction factor is 0.986257, meaning 1,000 gross barrels are 986.3 net standard barrels. Lighter crudes expand more because the coefficient varies as the inverse square of density.

Can I average the API gravities of two blended crudes?

No, and doing so is a persistent scheduling error. Convert both to density, take the volume-weighted average of the densities, and convert back. Blending equal volumes of 20 °API and 40 °API gives (933.07 + 824.26) ÷ 2 = 878.67 kg/m³, which is 29.38 °API rather than the 30 °API a naive average suggests. The error grows with the spread between the components.

Is a higher API gravity always worth more?

Usually but not always. Lighter crudes yield more high-value light products per barrel, so they typically price above heavier crudes, and many contracts include an explicit gravity adjustment. But sulphur, acid number, metals and pour point also drive value, and a light sour crude can be worth less than a medium sweet one at a refinery configured for sweet feed. Gravity is one of two headline assay numbers, not the whole picture.

Can I use this for custody transfer?

Use it to check and to plan, not to invoice. Custody transfer follows the edition of the API Manual of Petroleum Measurement Standards named in your contract, including its rounding rules and implementation procedures, and normally also applies a pressure correction factor and a sediment-and-water deduction that this calculator does not model. The correction here uses the crude-oil group coefficient and will not be right for refined products.

References

  • Manual of Petroleum Measurement Standards, Chapter 11.1 — Temperature and Pressure Volume Correction Factors for Generalized Crude Oils, Refined Products, and Lubricating Oils — American Petroleum Institute
  • Manual of Petroleum Measurement Standards, Chapter 9 — Density Determination — American Petroleum Institute
  • ASTM D287 — Standard Test Method for API Gravity of Crude Petroleum and Petroleum Products (Hydrometer Method) — ASTM International