Mass per volume density.
Grains per Cup to Slugs per Gallon Converter — gr/cup to slug/gal
Convert Grain per Cup (gr/cup) to Slug per Gallon (slug/gal) using the exact conversion factor (1 grain per cup = 0.0000710422 slug per gallon). See the formula, worked examples, and conversion table.
Grains per Cup to Slugs per 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 0.2738889767 / 3855.301291.
Density uses kilograms per cubic meter as the base unit.
Reserved above the conversion cards and below the converter.
About Converting Grains per Cup to Slugs per Gallon
Grain per Cup and Slug per 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
slugs per gallon = grains per cup × 0.0000710421718208
This factor comes from each unit's defined relationship to the category's base unit: 1 grain per cup equals 0.273888976724 base units, and 1 slug per gallon equals 3855.30129084 base units, so dividing one by the other gives the direct grain per cup-to-slug per gallon factor of 0.0000710421718208.
Simple example
1 gr/cup × 0.00007104217182 = 0.0000710422 slug/gal
1 grain per cup = 0.0000710422 slugs per gallon.
Real-world example
1,000 gr/cup × 0.00007104217182 = 0.0710421718 slug/gal
1,000 grains per cup = 0.0710421718 slugs per gallon.
Conversion table
| Grain per Cup (gr/cup) | Slug per Gallon (slug/gal) |
|---|---|
| 0.1 gr/cup | 0.0000071042 slug/gal |
| 1 gr/cup | 0.0000710422 slug/gal |
| 10 gr/cup | 0.0007104217 slug/gal |
| 100 gr/cup | 0.0071042172 slug/gal |
| 1,000 gr/cup | 0.0710421718 slug/gal |
| 10,000 gr/cup | 0.7104217182 slug/gal |
Reverse conversion: Slug per Gallon to Grain per Cup
0.0000710422 slug/gal × 14076.14624 = 1.000000397 gr/cup
0.0000710422 slugs per gallon = 1.000000397 grains per cup.
grains per cup = slugs per gallon × 14076.1462434
For a page dedicated to this direction, see Slug per Gallon to Grain per Cup.
Understanding the Grain per Cup (gr/cup)
Mass per volume density.
Understanding the Slug per Gallon (slug/gal)
Mass per volume density.
Reserved between the cards and the FAQ so the page stays balanced.
Frequently asked questions
How many slugs per gallon are in 1 grain per cup?
1 grain per cup equals 0.0000710422 slugs per gallon, using the exact defined conversion factor rather than an estimate.
How do I convert grain per cup to slug per gallon?
Multiply the grain per cup value by 0.00007104217182. The converter above does this instantly to whatever precision you set.
How do I convert slug per gallon back to grain per cup?
Use the reverse factor: 1 slug per gallon equals 14,076.14624 grains per cup. You can also use the swap control in the converter above to flip the direction instantly.
What is a grain per cup?
Grain per Cup (gr/cup) is a unit of density.
What is a slug per gallon?
Slug per Gallon (slug/gal) is a unit of density.
Is the grain per cup to slug per gallon conversion exact?
Yes. Both grain per cup and slug per gallon are defined by fixed standards rather than physical artifacts, so the factor of 0.00007104217182 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.