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🧪 Density

Specific Gravity Calculator

Find specific gravity (relative density) from a substance density and a reference — water is 1 g/cm³ = 1000 kg/m³ — or solve density from SG. Tells you whether it floats or sinks.

SG = ρ / ρ_water
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Specific gravity — Quick answer

Specific gravity is a substance's density divided by water's density. It is a pure number; above 1 sinks, below 1 floats.

SG = ρ substance / ρ reference (water = 1000 kg/m³)
ρ substance = SG × ρ reference

Worked example: brine of density 1250 kg/m³ against water 1000 kg/m³. SG = 1250 / 1000 = 1.25 (sinks).

Specific gravity vs water (1000 kg/m³)

Substance ρSGBehaviour
790 kg/m³ (ethanol)0.79floats
1000 kg/m³ (water)1.00neutral
13600 kg/m³ (mercury)13.6sinks

Used for: battery acid, brewing, fuels, mineralogy, hydrometers.

🧪 Specific Gravity Calculator

Enter the substance density. Reference defaults to water (1000 kg/m³) — change it for a different fluid.

Specific gravity
Substance density
Reference density
In the reference

⚠️ Both densities must use the same unit — the SG is the same whether you work in kg/m³ or g/cm³. Water is 1000 kg/m³ (1 g/cm³) at 4 °C; for gases the reference is air, not water.

Specific gravity — also called relative density — compares how heavy a material is against a reference, almost always water. It is simply the substance's density divided by water's density, SG = ρ_substance / ρ_water, and because the units cancel the result is a pure number. That makes it instantly readable: anything above 1 is denser than water and sinks, anything below 1 floats. And since water is close to 1 g/cm³, a substance's specific gravity matches its density in g/cm³ — a handy shortcut hydrometers exploit.

Reviewed: June 19, 2026 · Author: Naveen P N, Founder — AI Calculator · Verified against: the definition of relative density referenced to water at 4 °C.

The specific gravity equations

Specific gravity
SG = ρ substance / ρ reference
Density from SG
ρ substance = SG × ρ reference
Water reference
ρ water = 1000 kg/m³ = 1 g/cm³ (at 4 °C)

The reference density goes in the denominator. With water as the reference, SG and density in g/cm³ are numerically identical, while in kg/m³ the density is 1000 × SG. To recover an unknown density, multiply the specific gravity by the reference density; to find the reference, divide the substance density by SG. Always keep both densities in the same unit so the ratio stays clean and dimensionless.

Worked example — a dense brine

Scenario: A concentrated brine has a density of 1250 kg/m³. Water is 1000 kg/m³. What is its specific gravity, and will it sink in fresh water?

Specific gravity
SG = 1250 / 1000 = 1.25
Check in g/cm³
1.25 g/cm³ / 1.00 g/cm³ = 1.25 (same answer)

The brine's specific gravity is 1.25 — it is 25% denser than water, so it sinks. Working in g/cm³ instead of kg/m³ gives exactly the same 1.25, confirming the ratio is unit-independent. By contrast ethanol at 790 kg/m³ gives SG = 0.79, below 1, so it would float on water — the same comparison a hydrometer makes when it bobs higher or lower in a liquid.

Frequently Asked Questions

How do you calculate specific gravity?

SG = substance density ÷ reference density (water 1000 kg/m³). 1250 / 1000 = 1.25. It's unitless.

Specific gravity vs density?

Density has units; SG is the ratio to water, so dimensionless. SG equals density in g/cm³.

Does higher SG sink or float?

SG > 1 sinks, SG < 1 floats, SG = 1 is neutral. Ice (0.92) floats; mercury (13.6) sinks.

Why water as the reference?

It's stable and ≈ 1 g/cm³ at 4 °C, so SG = density in g/cm³. Gases use air instead.

Can SG be below 1?

Yes — oils, ethanol (0.79), wood and ice are all below 1 and float on water.

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