Liquid Measurement — Density

API Gravity Temperature Correction Fundamentals

API gravity is defined at exactly 60 °F — but hydrometers and densitometers rarely read at 60 °F. Reducing an observed density to its 60 °F value is the gateway step for every volume correction, blending calculation and quality spec. It is governed by the hydrometer method of API MPMS Chapter 9.1 and the base-density iteration of Chapter 11.1 / ASTM D1250.

Definition

°API = 141.5/SG₆₀ − 131.5

Always referenced to 60 °F.

Method

Base-density iteration

ρ₆₀ ← ρ_obs / CTL, ~5 passes.

Standards

MPMS 9.1 & 11.1

Hydrometer + volume correction.

Use this guide to:

  • Reduce a hydrometer reading to 60 °F.
  • Get API@60, SG 60/60 and density.
  • Feed VCF / NSV calculations.

1. Why Reference Everything to 60 °F?

Density is temperature-dependent: a warm liquid is less dense, so a hydrometer floating in it reads a higher API gravity than the true value, and a cold liquid reads lower. To compare densities, settle custody tickets, and apply the petroleum measurement tables, every density must be expressed at a single reference temperature. In US practice that reference is 60 °F (15 °C internationally).

Definition: API gravity is by definition a 60 °F quantity: °API = 141.5 / SG₆₀ − 131.5, where SG₆₀ is the relative density 60/60 °F. A "34 °API at 80 °F" hydrometer reading is not 34 °API — it must be corrected.

2. The Hydrometer Method (API MPMS 9.1)

API MPMS Chapter 9.1 (ASTM D1298) is the field/lab method for measuring density, relative density or API gravity with a glass hydrometer. The sample is brought to a stable temperature, the hydrometer reading and temperature are recorded, and corrections are applied for the meniscus and for the thermal expansion of the glass hydrometer itself (which is calibrated at the reference temperature). The temperature-corrected reading then feeds the reduction to 60 °F.

Read

Reading + Temp

Record the scale value and the observed temperature together.

Correct

Glass & Meniscus

Adjust for hydrometer glass expansion and meniscus per 9.1.

Reduce

To 60 °F

Apply the 11.1 temperature correction to the corrected reading.

3. The Base-Density Iteration (API MPMS 11.1 §11.1.3.5)

The reduction to 60 °F is not a single equation because the thermal-expansion coefficient α₆₀ itself depends on the 60 °F density we are solving for. The standard resolves this with a short iteration based on mass conservation (a fixed mass of liquid occupies less volume — and is therefore denser — at 60 °F than when warm):

Iteration: rho60 = rho_obs (initial guess) repeat: alpha60 = K0/rho60² + K1/rho60 + K2 CTL = exp[-alpha60·(T-60)·(1 + 0.8·alpha60·(T-60))] rho60 = rho_obs / CTL (mass conservation) until converged (~5 passes) °API60 = 141.5 / (rho60 / 999.016) - 131.5

Because CTL < 1 for a warm sample, dividing the observed density by CTL increases it toward the (denser) 60 °F value. The commodity coefficients K0/K1/K2 are the same generalized values used in the volume correction factor.

4. Worked Example

A crude oil reads a density of 840.95 kg/m³ at 80 °F. What is its API gravity at 60 °F?

rho60_0 = 840.95; alpha60 = 341.0957/840.95² = 4.823e-4; CTL = 0.99033 rho60_1 = 840.95 / 0.99033 = 849.16 rho60_2 ≈ 849.01 (converged) °API60 = 141.5 / (849.01/999.016) - 131.5 = 35.0 °API

The hydrometer would have read about 35.9 °API at 80 °F; the true 60 °F value is 35.0 °API — a ~0.9 °API correction that materially changes the volume correction factor and the settled quantity.

5. Standards & References

StandardScope
API MPMS Ch. 9.1 / ASTM D1298Density, Relative Density or API Gravity by Hydrometer
API MPMS Ch. 11.1 / ASTM D1250Temperature volume correction; base-density iteration §11.1.3.5
API MPMS Ch. 9.3Density by digital density analyzer (alternative to hydrometer)

Frequently Asked Questions

Is API gravity tied to a specific temperature?

Yes — API gravity is defined at 60 °F, so a hydrometer read at any other temperature must be reduced to 60 °F before it is used.

Why does the correction require iteration?

Because the thermal-expansion coefficient α60 itself depends on the 60 °F density being solved for, so the value is found iteratively (about five passes).

What is the hydrometer glass correction?

A glass hydrometer is calibrated at a reference temperature; at other temperatures the glass bulb expands, so API MPMS 9.1 applies a small correction to the reading.