Mass per volume density.
Grains per Imperial gallon to Grains per Cup Converter — gr/imp gal to gr/cup
Convert Grain per Imperial gallon (gr/imp gal) to Grain per Cup (gr/cup) using the exact conversion factor (1 grain per imperial gallon = 0.0520421365 grain per cup). See the formula, worked examples, and conversion table.
Grains per Imperial gallon to Grains 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 / 0.2738889767.
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 Grains per Cup
Grain per Imperial gallon and Grain 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
grains per cup = grains per imperial gallon × 0.0520421365393
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 grain per cup equals 0.273888976724 base units, so dividing one by the other gives the direct grain per imperial gallon-to-grain per cup factor of 0.0520421365393.
Simple example
1 gr/imp gal × 0.05204213654 = 0.0520421365 gr/cup
1 grain per imperial gallon = 0.0520421365 grains per cup.
Real-world example
1,000 gr/imp gal × 0.05204213654 = 52.04213654 gr/cup
1,000 grains per imperial gallon = 52.04213654 grains per cup.
Conversion table
| Grain per Imperial gallon (gr/imp gal) | Grain per Cup (gr/cup) |
|---|---|
| 0.1 gr/imp gal | 0.0052042137 gr/cup |
| 1 gr/imp gal | 0.0520421365 gr/cup |
| 10 gr/imp gal | 0.5204213654 gr/cup |
| 100 gr/imp gal | 5.204213654 gr/cup |
| 1,000 gr/imp gal | 52.04213654 gr/cup |
| 10,000 gr/imp gal | 520.4213654 gr/cup |
Reverse conversion: Grain per Cup to Grain per Imperial gallon
0.0520421365 gr/cup × 19.21519881 = 0.9999999992 gr/imp gal
0.0520421365 grains per cup = 0.9999999992 grains per imperial gallon.
grains per imperial gallon = grains per cup × 19.2151988081
For a page dedicated to this direction, see Grain per Cup to Grain per Imperial gallon.
Understanding the Grain per Imperial gallon (gr/imp gal)
Mass per volume density.
Understanding the Grain per Cup (gr/cup)
Mass per volume density.
Reserved between the cards and the FAQ so the page stays balanced.
Frequently asked questions
How many grains per cup are in 1 grain per imperial gallon?
1 grain per imperial gallon equals 0.0520421365 grains per cup, using the exact defined conversion factor rather than an estimate.
How do I convert grain per imperial gallon to grain per cup?
Multiply the grain per imperial gallon value by 0.05204213654. The converter above does this instantly to whatever precision you set.
How do I convert grain per cup back to grain per imperial gallon?
Use the reverse factor: 1 grain per cup equals 19.21519881 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 grain per cup?
Grain per Cup (gr/cup) is a unit of density.
Is the grain per imperial gallon to grain per cup conversion exact?
Yes. Both grain per imperial gallon and grain per cup are defined by fixed standards rather than physical artifacts, so the factor of 0.05204213654 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.