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Specific Gravity

General

Specific Gravity (Relative Density)

A dimensionless ratio of a substance's density to the density of a reference substance, usually water at 1000 kg/m³, used to compare how heavy materials are relative to one another.

Definition

Specific gravity is a dimensionless ratio that compares the density of a substance to the density of a reference substance — almost always water, measured at 1000 kg/m³ (1 g/cm³) at 4°C. Rather than expressing how heavy something is in absolute units like kilograms per cubic meter, specific gravity simply says "how many times denser than water is this," stripping away the unit system entirely.

The Specific Gravity Calculator computes this ratio directly, and pairs naturally with the Density Calculator, which measures the underlying absolute density in kg/m³ or g/cm³ that specific gravity is built from. Because it's a pure ratio, specific gravity is often more convenient for practical, everyday comparisons — brewers use it to track fermentation, mechanics use it to check battery acid, and doctors use it to assess urine concentration, all without needing to think in absolute density units.

Specific gravity and Density describe the same underlying physical property from two different angles: density is the absolute measurement, and specific gravity is that measurement normalized against water. A liquid with a specific gravity of 1.05 has a density of 1050 kg/m³, exactly 5% more than water.

Formula

SG = ρ_substance / ρ_water

Where SG is specific gravity (dimensionless — no units), ρ_substance is the density of the substance being measured, and ρ_water is the density of water, conventionally taken as 1000 kg/m³ (or 1 g/cm³) at 4°C. Because the same units appear in both the numerator and denominator, they cancel out completely.

Worked Example

A sample of seawater has a measured density of 1025 kg/m³. Its specific gravity relative to fresh water is:

SG = 1025 kg/m³ ÷ 1000 kg/m³ = 1.025

This means seawater is 2.5% denser than fresh water — the reason objects float more easily in the ocean than in a freshwater lake, and a figure regularly used by marine engineers to calculate buoyancy for ship design.

Key Things to Know

  • Always dimensionless: because specific gravity is a ratio of two densities in the same units, the units always cancel, leaving a pure number that's the same whether you started in kg/m³ or g/cm³.
  • Directly predicts floating or sinking: any specific gravity value under 1.0 means the substance is less dense than water and will float, while a value over 1.0 means it will sink.
  • Built from Density: specific gravity is simply the ratio of a substance's density to water's density, so any density measurement can be converted into a specific gravity figure and vice versa.
  • Widely used in quality testing: brewers track specific gravity to measure sugar content before and after fermentation, mechanics check battery acid specific gravity to gauge charge state, and clinicians use urine specific gravity as a hydration and kidney-function indicator.
  • Reference temperature matters: because water's density shifts slightly with temperature, precise specific gravity figures specify the temperature at which both the sample and the reference water were measured, typically 4°C or 20°C.

Frequently Asked Questions

Specific gravity is a way of comparing how dense a substance is relative to water, expressed as a single dimensionless number rather than a unit-based measurement. A specific gravity of 2.0 means a substance is twice as dense as water, while a specific gravity below 1.0 means it will float on water.
Specific gravity equals the density of a substance divided by the density of a reference substance, written as SG = ρ_substance / ρ_water, where water at 1000 kg/m³ (or 1 g/cm³) is the standard reference at 4°C. Because both densities are measured in the same units, they cancel out, leaving a pure number with no units.
Water is used because it has a well-known, stable, and easily reproducible density of almost exactly 1000 kg/m³ at 4°C, making it a convenient and universal baseline. This means any substance with a specific gravity greater than 1 is denser than water and will sink, while anything below 1 is less dense and will float.
Density is an absolute measurement with units like kg/m³ or g/cm³, while specific gravity is a unitless ratio comparing that density to water's density. This makes specific gravity easier to use for quick comparisons — a battery acid specific gravity of 1.265, for example, immediately tells you it's 26.5% denser than water without needing to know the underlying unit system.
Specific gravity is widely used to test battery acid charge levels, determine urine concentration in medical tests, gauge the alcohol content of beer and wine during brewing, and assess soil and mineral samples in geology. In each case, a simple hydrometer or refractometer reading against the water baseline gives a fast, reliable quality or concentration check.
Yes, any substance less dense than water has a specific gravity below 1.0 and will float — ice has a specific gravity of about 0.92, and most cooking oils fall between 0.90 and 0.93. This is why ice floats on liquid water and oil floats on top of water rather than mixing with it.