Mass per volume density.
Carats per Cup to Grains per Gallon Converter — ct/cup to gr/gal
Convert Carat per Cup (ct/cup) to Grain per Gallon (gr/gal) using the exact conversion factor (1 carat per cup = 49.38354673 grain per gallon). See the formula, worked examples, and conversion table.
Carats per Cup to Grains 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 0.8453505675 / 0.01711806105.
Density uses kilograms per cubic meter as the base unit.
Reserved above the conversion cards and below the converter.
About Converting Carats per Cup to Grains per Gallon
Carat per Cup and Grain 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
grains per gallon = carats per cup × 49.3835467294
This factor comes from each unit's defined relationship to the category's base unit: 1 carat per cup equals 0.845350567546 base units, and 1 grain per gallon equals 0.0171180610453 base units, so dividing one by the other gives the direct carat per cup-to-grain per gallon factor of 49.3835467294.
Simple example
1 ct/cup × 49.38354673 = 49.38354673 gr/gal
1 carat per cup = 49.38354673 grains per gallon.
Real-world example
1,000 ct/cup × 49.38354673 = 49,383.54673 gr/gal
1,000 carats per cup = 49,383.54673 grains per gallon.
Conversion table
| Carat per Cup (ct/cup) | Grain per Gallon (gr/gal) |
|---|---|
| 0.1 ct/cup | 4.938354673 gr/gal |
| 1 ct/cup | 49.38354673 gr/gal |
| 10 ct/cup | 493.8354673 gr/gal |
| 100 ct/cup | 4,938.354673 gr/gal |
| 1,000 ct/cup | 49,383.54673 gr/gal |
| 10,000 ct/cup | 493,835.4673 gr/gal |
Reverse conversion: Grain per Gallon to Carat per Cup
49.38354673 gr/gal × 0.02024965937 = 1 ct/cup
49.38354673 grains per gallon = 1 carats per cup.
carats per cup = grains per gallon × 0.020249659375
For a page dedicated to this direction, see Grain per Gallon to Carat per Cup.
Understanding the Carat per Cup (ct/cup)
Mass per volume density.
Understanding the Grain per Gallon (gr/gal)
Mass per volume density.
Reserved between the cards and the FAQ so the page stays balanced.
Frequently asked questions
How many grains per gallon are in 1 carat per cup?
1 carat per cup equals 49.38354673 grains per gallon, using the exact defined conversion factor rather than an estimate.
How do I convert carat per cup to grain per gallon?
Multiply the carat per cup value by 49.38354673. The converter above does this instantly to whatever precision you set.
How do I convert grain per gallon back to carat per cup?
Use the reverse factor: 1 grain per gallon equals 0.0202496594 carats per cup. You can also use the swap control in the converter above to flip the direction instantly.
What is a carat per cup?
Carat per Cup (ct/cup) is a unit of density.
What is a grain per gallon?
Grain per Gallon (gr/gal) is a unit of density.
Is the carat per cup to grain per gallon conversion exact?
Yes. Both carat per cup and grain per gallon are defined by fixed standards rather than physical artifacts, so the factor of 49.38354673 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.