Mass per volume density.
Micrograms per Imperial gallon to Grains per Cup Converter — ug/imp gal to gr/cup
Convert Microgram per Imperial gallon (ug/imp gal) to Grain per Cup (gr/cup) using the exact conversion factor (1 microgram per imperial gallon = 8.031329e-7 grain per cup). See the formula, worked examples, and conversion table.
Micrograms 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 2.19969248e-7 / 0.2738889767.
Density uses kilograms per cubic meter as the base unit.
Reserved above the conversion cards and below the converter.
About Converting Micrograms per Imperial gallon to Grains per Cup
Microgram 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 = micrograms per imperial gallon × 8.031329e-7
This factor comes from each unit's defined relationship to the category's base unit: 1 microgram per imperial gallon equals 2.199692e-7 base units, and 1 grain per cup equals 0.273888976724 base units, so dividing one by the other gives the direct microgram per imperial gallon-to-grain per cup factor of 8.031329e-7.
Simple example
1 ug/imp gal × 8.031329e-7 = 8.031329e-7 gr/cup
1 microgram per imperial gallon = 8.031329e-7 grains per cup.
Real-world example
1,000 ug/imp gal × 8.031329e-7 = 0.0008031329 gr/cup
1,000 micrograms per imperial gallon = 0.0008031329 grains per cup.
Conversion table
| Microgram per Imperial gallon (ug/imp gal) | Grain per Cup (gr/cup) |
|---|---|
| 0.1 ug/imp gal | 8.031329e-8 gr/cup |
| 1 ug/imp gal | 8.031329e-7 gr/cup |
| 10 ug/imp gal | 0.0000080313 gr/cup |
| 100 ug/imp gal | 0.0000803133 gr/cup |
| 1,000 ug/imp gal | 0.0008031329 gr/cup |
| 10,000 ug/imp gal | 0.008031329 gr/cup |
Reverse conversion: Grain per Cup to Microgram per Imperial gallon
8.031329e-7 gr/cup × 1245123.938 = 0.9999999993 ug/imp gal
8.031329e-7 grains per cup = 0.9999999993 micrograms per imperial gallon.
micrograms per imperial gallon = grains per cup × 1245123.9382
For a page dedicated to this direction, see Grain per Cup to Microgram per Imperial gallon.
Understanding the Microgram per Imperial gallon (ug/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 microgram per imperial gallon?
1 microgram per imperial gallon equals 8.031329e-7 grains per cup, using the exact defined conversion factor rather than an estimate.
How do I convert microgram per imperial gallon to grain per cup?
Multiply the microgram per imperial gallon value by 8.031329e-7. The converter above does this instantly to whatever precision you set.
How do I convert grain per cup back to microgram per imperial gallon?
Use the reverse factor: 1 grain per cup equals 1,245,123.938 micrograms per imperial gallon. You can also use the swap control in the converter above to flip the direction instantly.
What is a microgram per imperial gallon?
Microgram per Imperial gallon (ug/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 microgram per imperial gallon to grain per cup conversion exact?
Yes. Both microgram per imperial gallon and grain per cup are defined by fixed standards rather than physical artifacts, so the factor of 8.031329e-7 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.