Mass per volume density.
Grains per Cup to Carats per Gallon Converter — gr/cup to ct/gal
Convert Grain per Cup (gr/cup) to Carat per Gallon (ct/gal) using the exact conversion factor (1 grain per cup = 5.1839128 carat per gallon). See the formula, worked examples, and conversion table.
Grains per Cup to Carats per Gallon converter
Converter
Density Converter
Convert thousands of mass-per-volume density combinations for science, engineering, agriculture, and fluids.
Context values
Some unit families need one extra value for a physically accurate result.
Mass per volume density.
Result = input x 0.2738889767 / 0.05283441047.
Density uses kilograms per cubic meter as the base unit.
Reserved above the conversion cards and below the converter.
About Converting Grains per Cup to Carats per Gallon
Grain per Cup and Carat per Gallon both measure density — mass per unit volume — a property used to identify materials, check manufacturing quality, and predict whether something floats or sinks. As a fixed reference point, water has a density of exactly 1000 kg/m³ (1 g/cm³, 1 g/mL) at its temperature of maximum density, which is why many density figures in science and engineering are quoted relative to water. Both are mass per volume density units.
Formula
carats per gallon = grains per cup × 5.1839128
This factor comes from each unit's defined relationship to the category's base unit: 1 grain per cup equals 0.273888976724 base units, and 1 carat per gallon equals 0.0528344104716 base units, so dividing one by the other gives the direct grain per cup-to-carat per gallon factor of 5.1839128.
Simple example
1 gr/cup × 5.1839128 = 5.1839128 ct/gal
1 grain per cup = 5.1839128 carats per gallon.
Real-world example
1,000 gr/cup × 5.1839128 = 5,183.9128 ct/gal
1,000 grains per cup = 5,183.9128 carats per gallon.
Conversion table
| Grain per Cup (gr/cup) | Carat per Gallon (ct/gal) |
|---|---|
| 0.1 gr/cup | 0.51839128 ct/gal |
| 1 gr/cup | 5.1839128 ct/gal |
| 10 gr/cup | 51.839128 ct/gal |
| 100 gr/cup | 518.39128 ct/gal |
| 1,000 gr/cup | 5,183.9128 ct/gal |
| 10,000 gr/cup | 51,839.128 ct/gal |
Reverse conversion: Carat per Gallon to Grain per Cup
5.1839128 ct/gal × 0.1929044794 = 1 gr/cup
5.1839128 carats per gallon = 1 grains per cup.
grains per cup = carats per gallon × 0.192904479412
For a page dedicated to this direction, see Carat per Gallon to Grain per Cup.
Understanding the Grain per Cup (gr/cup)
Mass per volume density.
Understanding the Carat per Gallon (ct/gal)
Mass per volume density.
Reserved between the cards and the FAQ so the page stays balanced.
Frequently asked questions
How many carats per gallon are in 1 grain per cup?
1 grain per cup equals 5.1839128 carats per gallon, using the exact defined conversion factor rather than an estimate.
How do I convert grain per cup to carat per gallon?
Multiply the grain per cup value by 5.1839128. The converter above does this instantly to whatever precision you set.
How do I convert carat per gallon back to grain per cup?
Use the reverse factor: 1 carat per gallon equals 0.1929044794 grains per cup. You can also use the swap control in the converter above to flip the direction instantly.
What is a grain per cup?
Grain per Cup (gr/cup) is a unit of density.
What is a carat per gallon?
Carat per Gallon (ct/gal) is a unit of density.
Is the grain per cup to carat per gallon conversion exact?
Yes. Both grain per cup and carat per gallon are defined by fixed standards rather than physical artifacts, so the factor of 5.1839128 used above is exact to as many digits as you choose to display.
What's the difference between density and mass concentration?
Density is the mass of a pure substance or material per unit volume. Mass concentration is the mass of one component — like a dissolved solute — within a mixture's total volume. The two use the same kind of units but describe different physical situations.