Mass per volume density.
Troy ounces per Cup to Grains per Gallon Converter — oz t/cup to gr/gal
Convert Troy ounce per Cup (oz t/cup) to Grain per Gallon (gr/gal) using the exact conversion factor (1 troy ounce per cup = 7,680 grain per gallon). See the formula, worked examples, and conversion table.
Troy ounces per Cup to Grains 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 131.4667088 / 0.01711806105.
Density uses kilograms per cubic meter as the base unit.
Reserved above the conversion cards and below the converter.
About Converting Troy ounces per Cup to Grains per Gallon
Troy ounce per Cup and Grain 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
grains per gallon = troy ounces per cup × 7680
This factor comes from each unit's defined relationship to the category's base unit: 1 troy ounce per cup equals 131.466708828 base units, and 1 grain per gallon equals 0.0171180610453 base units, so dividing one by the other gives the direct troy ounce per cup-to-grain per gallon factor of 7680.
Simple example
1 oz t/cup × 7680 = 7,680 gr/gal
1 troy ounce per cup = 7,680 grains per gallon.
Real-world example
1,000 oz t/cup × 7680 = 7,680,000 gr/gal
1,000 troy ounces per cup = 7,680,000 grains per gallon.
Conversion table
| Troy ounce per Cup (oz t/cup) | Grain per Gallon (gr/gal) |
|---|---|
| 0.1 oz t/cup | 768 gr/gal |
| 1 oz t/cup | 7,680 gr/gal |
| 10 oz t/cup | 76,800 gr/gal |
| 100 oz t/cup | 768,000 gr/gal |
| 1,000 oz t/cup | 7,680,000 gr/gal |
| 10,000 oz t/cup | 76,800,000 gr/gal |
Reverse conversion: Grain per Gallon to Troy ounce per Cup
1 gr/gal × 0.0001302083333 = 0.0001302083 oz t/cup
1 grain per gallon = 0.0001302083 troy ounces per cup.
troy ounces per cup = grains per gallon × 0.000130208333333
For a page dedicated to this direction, see Grain per Gallon to Troy ounce per Cup.
Understanding the Troy ounce per Cup (oz t/cup)
Mass per volume density.
Understanding the Grain per Gallon (gr/gal)
Mass per volume density.
Reserved between the cards and the FAQ so the page stays balanced.
Frequently asked questions
How many grains per gallon are in 1 troy ounce per cup?
1 troy ounce per cup equals 7,680 grains per gallon, using the exact defined conversion factor rather than an estimate.
How do I convert troy ounce per cup to grain per gallon?
Multiply the troy ounce per cup value by 7680. The converter above does this instantly to whatever precision you set.
How do I convert grain per gallon back to troy ounce per cup?
Use the reverse factor: 1 grain per gallon equals 0.0001302083 troy ounces per cup. You can also use the swap control in the converter above to flip the direction instantly.
What is a troy ounce per cup?
Troy ounce per Cup (oz t/cup) is a unit of density.
What is a grain per gallon?
Grain per Gallon (gr/gal) is a unit of density.
Is the troy ounce per cup to grain per gallon conversion exact?
Yes. Both troy ounce per cup and grain per gallon are defined by fixed standards rather than physical artifacts, so the factor of 7680 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.