Mass per volume density.
Carats per Cup to Grains per Imperial gallon Converter — ct/cup to gr/imp gal
Convert Carat per Cup (ct/cup) to Grain per Imperial gallon (gr/imp gal) using the exact conversion factor (1 carat per cup = 59.30716677 grain per imperial gallon). See the formula, worked examples, and conversion table.
Carats per Cup to Grains per Imperial 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 / 0.01425376752.
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 Imperial gallon
Carat per Cup and Grain per Imperial 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 imperial gallon = carats per cup × 59.3071667659
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 imperial gallon equals 0.0142537675233 base units, so dividing one by the other gives the direct carat per cup-to-grain per imperial gallon factor of 59.3071667659.
Simple example
1 ct/cup × 59.30716677 = 59.30716677 gr/imp gal
1 carat per cup = 59.30716677 grains per imperial gallon.
Real-world example
1,000 ct/cup × 59.30716677 = 59,307.16677 gr/imp gal
1,000 carats per cup = 59,307.16677 grains per imperial gallon.
Conversion table
| Carat per Cup (ct/cup) | Grain per Imperial gallon (gr/imp gal) |
|---|---|
| 0.1 ct/cup | 5.930716677 gr/imp gal |
| 1 ct/cup | 59.30716677 gr/imp gal |
| 10 ct/cup | 593.0716677 gr/imp gal |
| 100 ct/cup | 5,930.716677 gr/imp gal |
| 1,000 ct/cup | 59,307.16677 gr/imp gal |
| 10,000 ct/cup | 593,071.6677 gr/imp gal |
Reverse conversion: Grain per Imperial gallon to Carat per Cup
59.30716677 gr/imp gal × 0.01686136861 = 1 ct/cup
59.30716677 grains per imperial gallon = 1 carats per cup.
carats per cup = grains per imperial gallon × 0.0168613686091
For a page dedicated to this direction, see Grain per Imperial gallon to Carat per Cup.
Understanding the Carat per Cup (ct/cup)
Mass per volume density.
Understanding the Grain per Imperial gallon (gr/imp gal)
Mass per volume density.
Reserved between the cards and the FAQ so the page stays balanced.
Frequently asked questions
How many grains per imperial gallon are in 1 carat per cup?
1 carat per cup equals 59.30716677 grains per imperial gallon, using the exact defined conversion factor rather than an estimate.
How do I convert carat per cup to grain per imperial gallon?
Multiply the carat per cup value by 59.30716677. The converter above does this instantly to whatever precision you set.
How do I convert grain per imperial gallon back to carat per cup?
Use the reverse factor: 1 grain per imperial gallon equals 0.0168613686 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 imperial gallon?
Grain per Imperial gallon (gr/imp gal) is a unit of density.
Is the carat per cup to grain per imperial gallon conversion exact?
Yes. Both carat per cup and grain per imperial gallon are defined by fixed standards rather than physical artifacts, so the factor of 59.30716677 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.