Specific Gravity to Density Converter
Convert specific gravity to density in various units for liquids and solids. Enter values for instant results with step-by-step formulas.
Reviewed for accuracy by Manoj Kumar, Mathematics Educator
Specific Gravity to Density Converter
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Formula: Density (kg/m3) = Specific Gravity x Water Density at Reference Temperature
Worked example โ SG 1.025 = 1025.0 kg/m3 = 64.0 lb/ft3 = 8.55 lb/gal
Formula
Density (kg/m3) = Specific Gravity x Water Density at Reference Temperature
Specific gravity is the ratio of a substance's density to the density of water at a specified reference temperature. Multiplying specific gravity by the water density at that temperature gives the actual density. At 4 degrees C, water density is 999.972 kg/m3.
Worked Examples
Example 1: Seawater Density Calculation
Problem:Seawater has a specific gravity of 1.025 at 4 degrees C. Calculate its density in various units.
Solution:Density (kg/m3) = 1.025 x 999.972 = 1024.971 kg/m3 Density (g/cm3) = 1024.971 / 1000 = 1.025 g/cm3 Density (lb/ft3) = 1024.971 / 16.0185 = 64.00 lb/ft3 Density (lb/gal) = 1024.971 / 119.826 = 8.554 lb/gal API gravity = (141.5 / 1.025) - 131.5 = 6.59 API
Result:SG 1.025 = 1025.0 kg/m3 = 64.0 lb/ft3 = 8.55 lb/gal
Example 2: Petroleum API to Density Conversion
Problem:Light crude oil has an API gravity of 35. What is its specific gravity and density?
Solution:SG = 141.5 / (API + 131.5) = 141.5 / (35 + 131.5) = 141.5 / 166.5 = 0.8498 Density (kg/m3) = 0.8498 x 999.972 = 849.8 kg/m3 Density (lb/gal) = 849.8 / 119.826 = 7.09 lb/gal This oil floats on water (SG < 1.0)
Result:API 35 = SG 0.8498 = 849.8 kg/m3 = 7.09 lb/gal (floats on water)
Frequently Asked Questions
What is specific gravity and how is it different from density?
Specific gravity is a dimensionless ratio comparing a substance's density to the density of a reference substance, which is usually water at 4 degrees Celsius (999.972 kg/m3) for liquids and solids, or air for gases. Unlike density, specific gravity has no units because it is a ratio of two densities. Density is an absolute measurement expressed in units like kg/m3 or g/cm3. Because water's density at 4 degrees C is approximately 1.000 g/cm3, the numerical value of specific gravity and density in g/cm3 are nearly identical for most practical purposes. However, they are conceptually different: density tells you the mass per unit volume, while specific gravity tells you how heavy something is relative to water.
How do you convert specific gravity to density in kg/m3?
To convert specific gravity to density in kg/m3, multiply the specific gravity by the density of water at the reference temperature. At 4 degrees Celsius, water density is 999.972 kg/m3, so density in kg/m3 is approximately equal to specific gravity times 1000. For example, a substance with specific gravity 1.5 has a density of approximately 1500 kg/m3 (1.5 times 999.972). For greater precision, you must specify the reference temperature because water density changes with temperature. At 20 degrees C, water density is 998.206 kg/m3, so the same specific gravity of 1.5 would correspond to 1497.3 kg/m3. The difference is small but matters in precision applications like pharmaceutical manufacturing and analytical chemistry.
Why is reference temperature important for specific gravity measurements?
Reference temperature is crucial because the density of the reference substance (water) changes with temperature. Water is densest at approximately 4 degrees Celsius (999.972 kg/m3). At 20 degrees C, water density drops to 998.206 kg/m3, and at 25 degrees C it is 997.048 kg/m3. A specific gravity measurement written as SG 20/4 means the substance was measured at 20 degrees C and compared to water at 4 degrees C. The notation SG 20/20 means both measurements were at 20 degrees C. For precise work in chemistry and quality control, you must know which temperature convention is used, or the resulting density calculation will be slightly wrong. Most standard industrial tables use 60 degrees Fahrenheit (15.56 degrees C) as the reference temperature for petroleum products.
What instruments are used to measure specific gravity?
Several instruments measure specific gravity, each suited to different applications and precision requirements. A hydrometer is a weighted glass float that sinks to a depth proportional to the liquid density, with specific gravity read from the calibrated scale at the liquid surface. A pycnometer is a precisely calibrated glass flask that measures the mass of a known volume of liquid. Digital density meters use oscillating U-tube technology to measure density to five or six decimal places, providing the most accurate results. A Westphal balance uses Archimedes principle with a plunger submerged in the liquid. For solids, the water displacement method compares the weight of the object in air versus submerged in water. Refractometers estimate specific gravity indirectly through the refractive index of a solution.
How is specific gravity used in the brewing and winemaking industry?
Brewers and winemakers use specific gravity to track fermentation progress and calculate alcohol content. The original gravity (OG) is measured before fermentation begins, typically between 1.030 and 1.090 for beer and 1.070 to 1.120 for wine. As yeast converts sugar to alcohol and carbon dioxide, the specific gravity decreases because alcohol is lighter than water (SG 0.789). The final gravity (FG) is measured when fermentation is complete, usually between 1.005 and 1.020. Alcohol by volume (ABV) is estimated as approximately (OG minus FG) times 131.25. A beer with OG 1.060 and FG 1.012 would have roughly 6.3 percent ABV. Brewers also use the Brix and Plato scales, which express sugar concentration as a percentage and are directly related to specific gravity.
What is the API gravity scale used in the petroleum industry?
API gravity is a scale developed by the American Petroleum Institute that inversely relates to specific gravity. The formula is API gravity equals (141.5 divided by specific gravity at 60 degrees F) minus 131.5. On this scale, water has an API gravity of 10. Lighter petroleum products have higher API values: light crude oil is 31 to 45 API, medium crude is 22 to 31 API, and heavy crude is below 22 API. Gasoline is approximately 55 to 65 API, while diesel fuel is around 32 to 38 API. The API scale was developed because petroleum pricing and refining characteristics correlate better with this inverted scale. Light crude oils with higher API gravity generally command higher prices because they yield more valuable refined products like gasoline and jet fuel.
How does specific gravity apply in medical and clinical testing?
In medicine, specific gravity is routinely measured in urinalysis as an indicator of kidney function and hydration status. Normal urine specific gravity ranges from 1.001 to 1.035, with a typical value around 1.010 to 1.025. Low values suggest overhydration or possible kidney disease affecting concentration ability. High values indicate dehydration or the presence of substances like glucose (diabetes) or protein (kidney damage). Blood specific gravity normally ranges from 1.052 to 1.063, varying with red blood cell count and protein levels. Specific gravity measurements are also used in pharmacy for solution preparation, in pathology for tissue fixation solutions, and in clinical chemistry for calibrating analytical instruments. These measurements are quick, inexpensive, and provide valuable diagnostic information.
What is the Baume scale and how does it relate to specific gravity?
The Baume scale is an older system for expressing the density of liquids, still used in some industries. There are two versions: the heavy Baume scale for liquids denser than water, and the light Baume scale for liquids lighter than water. For heavy liquids: Baume degrees equals 145 minus (145 divided by specific gravity). For light liquids: Baume degrees equals (140 divided by specific gravity) minus 130. Water has 0 degrees Baume on both scales. A 10 percent salt solution (SG 1.072) measures about 9.7 degrees heavy Baume. The Baume scale was widely used in the sugar, acid, and chemical industries before modern density meters. It remains common in the sulfuric acid industry where concentration is often specified in Baume degrees. The scale was invented by French chemist Antoine Baume in 1768.
How do you determine if an object will float based on specific gravity?
An object floats in a liquid if its specific gravity is less than that of the liquid. A substance with specific gravity less than 1.000 will float in water because it is less dense. Ice (SG 0.917) floats in water with about 8.3 percent above the surface. Wood species with SG below 1.0 float, while ebony (SG 1.12) sinks. Oil (SG approximately 0.8 to 0.95) floats on water, which is why oil spills spread across water surfaces. The fraction submerged equals the ratio of the object's specific gravity to the liquid's specific gravity. For a block of wood with SG 0.6 floating in water, 60 percent of its volume is submerged. This principle is fundamental to ship design (hull displacement), the separation of minerals in dense media processing, and understanding geological processes like continent positioning on the mantle.
What common substances have well-known specific gravity values?
Knowing reference specific gravity values helps verify measurements and identify substances. Among liquids: water is 1.000, seawater is approximately 1.025, whole milk is about 1.032, ethanol is 0.789, glycerin is 1.261, mercury is 13.534, olive oil is 0.913, and gasoline ranges from 0.71 to 0.77. Among solids: aluminum is 2.70, iron is 7.87, copper is 8.96, lead is 11.34, gold is 19.32, and platinum is 21.45. Common construction materials include concrete at 2.3 to 2.5, brick at 1.8 to 2.0, glass at 2.4 to 2.8, and granite at 2.65 to 2.75. These values are useful for material identification, quality control, and engineering calculations involving buoyancy, material selection, and structural loading.
References
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