Mass per volume density.
Troy ounces per Gallon to Grains per Cup Converter — oz t/gal to gr/cup
Convert Troy ounce per Gallon (oz t/gal) to Grain per Cup (gr/cup) using the exact conversion factor (1 troy ounce per gallon = 30 grain per cup). See the formula, worked examples, and conversion table.
Troy ounces per 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 8.216669302 / 0.2738889767.
Density uses kilograms per cubic meter as the base unit.
Reserved above the conversion cards and below the converter.
About Converting Troy ounces per Gallon to Grains per Cup
Troy ounce per 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 = troy ounces per gallon × 30
This factor comes from each unit's defined relationship to the category's base unit: 1 troy ounce per gallon equals 8.21666930173 base units, and 1 grain per cup equals 0.273888976724 base units, so dividing one by the other gives the direct troy ounce per gallon-to-grain per cup factor of 30.
Simple example
1 oz t/gal × 30 = 30 gr/cup
1 troy ounce per gallon = 30 grains per cup.
Real-world example
1,000 oz t/gal × 30 = 30,000 gr/cup
1,000 troy ounces per gallon = 30,000 grains per cup.
Conversion table
| Troy ounce per Gallon (oz t/gal) | Grain per Cup (gr/cup) |
|---|---|
| 0.1 oz t/gal | 3 gr/cup |
| 1 oz t/gal | 30 gr/cup |
| 10 oz t/gal | 300 gr/cup |
| 100 oz t/gal | 3,000 gr/cup |
| 1,000 oz t/gal | 30,000 gr/cup |
| 10,000 oz t/gal | 300,000 gr/cup |
Reverse conversion: Grain per Cup to Troy ounce per Gallon
30 gr/cup × 0.03333333333 = 1 oz t/gal
30 grains per cup = 1 troy ounce per gallon.
troy ounces per gallon = grains per cup × 0.0333333333333
For a page dedicated to this direction, see Grain per Cup to Troy ounce per Gallon.
Understanding the Troy ounce per Gallon (oz t/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 troy ounce per gallon?
1 troy ounce per gallon equals 30 grains per cup, using the exact defined conversion factor rather than an estimate.
How do I convert troy ounce per gallon to grain per cup?
Multiply the troy ounce per gallon value by 30. The converter above does this instantly to whatever precision you set.
How do I convert grain per cup back to troy ounce per gallon?
Use the reverse factor: 1 grain per cup equals 0.0333333333 troy ounces per gallon. You can also use the swap control in the converter above to flip the direction instantly.
What is a troy ounce per gallon?
Troy ounce per Gallon (oz t/gal) is a unit of density.
What is a grain per cup?
Grain per Cup (gr/cup) is a unit of density.
Is the troy ounce per gallon to grain per cup conversion exact?
Yes. Both troy ounce per gallon and grain per cup are defined by fixed standards rather than physical artifacts, so the factor of 30 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.