Mass per volume density.
Grains per Imperial gallon to Carats per Cup Converter — gr/imp gal to ct/cup
Convert Grain per Imperial gallon (gr/imp gal) to Carat per Cup (ct/cup) using the exact conversion factor (1 grain per imperial gallon = 0.0168613686 carat per cup). See the formula, worked examples, and conversion table.
Grains per Imperial 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 0.01425376752 / 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 Imperial gallon to Carats per Cup
Grain per Imperial 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 imperial gallon × 0.0168613686091
This factor comes from each unit's defined relationship to the category's base unit: 1 grain per imperial gallon equals 0.0142537675233 base units, and 1 carat per cup equals 0.845350567546 base units, so dividing one by the other gives the direct grain per imperial gallon-to-carat per cup factor of 0.0168613686091.
Simple example
1 gr/imp gal × 0.01686136861 = 0.0168613686 ct/cup
1 grain per imperial gallon = 0.0168613686 carats per cup.
Real-world example
1,000 gr/imp gal × 0.01686136861 = 16.86136861 ct/cup
1,000 grains per imperial gallon = 16.86136861 carats per cup.
Conversion table
| Grain per Imperial gallon (gr/imp gal) | Carat per Cup (ct/cup) |
|---|---|
| 0.1 gr/imp gal | 0.0016861369 ct/cup |
| 1 gr/imp gal | 0.0168613686 ct/cup |
| 10 gr/imp gal | 0.1686136861 ct/cup |
| 100 gr/imp gal | 1.686136861 ct/cup |
| 1,000 gr/imp gal | 16.86136861 ct/cup |
| 10,000 gr/imp gal | 168.6136861 ct/cup |
Reverse conversion: Carat per Cup to Grain per Imperial gallon
0.0168613686 ct/cup × 59.30716677 = 0.9999999995 gr/imp gal
0.0168613686 carats per cup = 0.9999999995 grains per imperial gallon.
grains per imperial gallon = carats per cup × 59.3071667659
For a page dedicated to this direction, see Carat per Cup to Grain per Imperial gallon.
Understanding the Grain per Imperial gallon (gr/imp 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 imperial gallon?
1 grain per imperial gallon equals 0.0168613686 carats per cup, using the exact defined conversion factor rather than an estimate.
How do I convert grain per imperial gallon to carat per cup?
Multiply the grain per imperial gallon value by 0.01686136861. The converter above does this instantly to whatever precision you set.
How do I convert carat per cup back to grain per imperial gallon?
Use the reverse factor: 1 carat per cup equals 59.30716677 grains per imperial gallon. You can also use the swap control in the converter above to flip the direction instantly.
What is a grain per imperial gallon?
Grain per Imperial gallon (gr/imp 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 imperial gallon to carat per cup conversion exact?
Yes. Both grain per imperial gallon and carat per cup are defined by fixed standards rather than physical artifacts, so the factor of 0.01686136861 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.