Mass per volume density.
Grains per Imperial gallon to Micrograms per Cup Converter — gr/imp gal to ug/cup
Convert Grain per Imperial gallon (gr/imp gal) to Microgram per Cup (ug/cup) using the exact conversion factor (1 grain per imperial gallon = 3,372.273722 microgram per cup). See the formula, worked examples, and conversion table.
Grains per Imperial gallon to Micrograms 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 / 4.22675284e-6.
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 Micrograms per Cup
Grain per Imperial gallon and Microgram 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
micrograms per cup = grains per imperial gallon × 3372.27372182
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 microgram per cup equals 0.00000422675283773 base units, so dividing one by the other gives the direct grain per imperial gallon-to-microgram per cup factor of 3372.27372182.
Simple example
1 gr/imp gal × 3372.273722 = 3,372.273722 ug/cup
1 grain per imperial gallon = 3,372.273722 micrograms per cup.
Real-world example
1,000 gr/imp gal × 3372.273722 = 3,372,273.722 ug/cup
1,000 grains per imperial gallon = 3,372,273.722 micrograms per cup.
Conversion table
| Grain per Imperial gallon (gr/imp gal) | Microgram per Cup (ug/cup) |
|---|---|
| 0.1 gr/imp gal | 337.2273722 ug/cup |
| 1 gr/imp gal | 3,372.273722 ug/cup |
| 10 gr/imp gal | 33,722.73722 ug/cup |
| 100 gr/imp gal | 337,227.3722 ug/cup |
| 1,000 gr/imp gal | 3,372,273.722 ug/cup |
| 10,000 gr/imp gal | 33,722,737.22 ug/cup |
Reverse conversion: Microgram per Cup to Grain per Imperial gallon
1 ug/cup × 0.0002965358338 = 0.0002965358 gr/imp gal
1 microgram per cup = 0.0002965358 grains per imperial gallon.
grains per imperial gallon = micrograms per cup × 0.000296535833829
For a page dedicated to this direction, see Microgram per Cup to Grain per Imperial gallon.
Understanding the Grain per Imperial gallon (gr/imp gal)
Mass per volume density.
Understanding the Microgram per Cup (ug/cup)
Mass per volume density.
Reserved between the cards and the FAQ so the page stays balanced.
Frequently asked questions
How many micrograms per cup are in 1 grain per imperial gallon?
1 grain per imperial gallon equals 3,372.273722 micrograms per cup, using the exact defined conversion factor rather than an estimate.
How do I convert grain per imperial gallon to microgram per cup?
Multiply the grain per imperial gallon value by 3372.273722. The converter above does this instantly to whatever precision you set.
How do I convert microgram per cup back to grain per imperial gallon?
Use the reverse factor: 1 microgram per cup equals 0.0002965358 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 microgram per cup?
Microgram per Cup (ug/cup) is a unit of density.
Is the grain per imperial gallon to microgram per cup conversion exact?
Yes. Both grain per imperial gallon and microgram per cup are defined by fixed standards rather than physical artifacts, so the factor of 3372.273722 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.