Mass per volume density.
Grains per Gallon to Carats per Cup Converter — gr/gal to ct/cup
Convert Grain per Gallon (gr/gal) to Carat per Cup (ct/cup) using the exact conversion factor (1 grain per gallon = 0.0202496594 carat per cup). See the formula, worked examples, and conversion table.
Grains per Gallon to Carats per Cup 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 0.01711806105 / 0.8453505675.
Density uses kilograms per cubic meter as the base unit.
Reserved above the conversion cards and below the converter.
About Converting Grains per Gallon to Carats per Cup
Grain per Gallon and Carat per Cup 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 cup = grains per gallon × 0.020249659375
This factor comes from each unit's defined relationship to the category's base unit: 1 grain per gallon equals 0.0171180610453 base units, and 1 carat per cup equals 0.845350567546 base units, so dividing one by the other gives the direct grain per gallon-to-carat per cup factor of 0.020249659375.
Simple example
1 gr/gal × 0.02024965937 = 0.0202496594 ct/cup
1 grain per gallon = 0.0202496594 carats per cup.
Real-world example
1,000 gr/gal × 0.02024965937 = 20.24965937 ct/cup
1,000 grains per gallon = 20.24965937 carats per cup.
Conversion table
| Grain per Gallon (gr/gal) | Carat per Cup (ct/cup) |
|---|---|
| 0.1 gr/gal | 0.0020249659 ct/cup |
| 1 gr/gal | 0.0202496594 ct/cup |
| 10 gr/gal | 0.2024965937 ct/cup |
| 100 gr/gal | 2.024965937 ct/cup |
| 1,000 gr/gal | 20.24965937 ct/cup |
| 10,000 gr/gal | 202.4965937 ct/cup |
Reverse conversion: Carat per Cup to Grain per Gallon
0.0202496594 ct/cup × 49.38354673 = 1.000000001 gr/gal
0.0202496594 carats per cup = 1.000000001 grains per gallon.
grains per gallon = carats per cup × 49.3835467294
For a page dedicated to this direction, see Carat per Cup to Grain per Gallon.
Understanding the Grain per Gallon (gr/gal)
Mass per volume density.
Understanding the Carat per Cup (ct/cup)
Mass per volume density.
Reserved between the cards and the FAQ so the page stays balanced.
Frequently asked questions
How many carats per cup are in 1 grain per gallon?
1 grain per gallon equals 0.0202496594 carats per cup, using the exact defined conversion factor rather than an estimate.
How do I convert grain per gallon to carat per cup?
Multiply the grain per gallon value by 0.02024965937. The converter above does this instantly to whatever precision you set.
How do I convert carat per cup back to grain per gallon?
Use the reverse factor: 1 carat per cup equals 49.38354673 grains per gallon. You can also use the swap control in the converter above to flip the direction instantly.
What is a grain per gallon?
Grain per Gallon (gr/gal) is a unit of density.
What is a carat per cup?
Carat per Cup (ct/cup) is a unit of density.
Is the grain per gallon to carat per cup conversion exact?
Yes. Both grain per gallon and carat per cup are defined by fixed standards rather than physical artifacts, so the factor of 0.02024965937 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.