Mass per volume density.
Grains per Gallon to Troy ounces per Cup Converter — gr/gal to oz t/cup
Convert Grain per Gallon (gr/gal) to Troy ounce per Cup (oz t/cup) using the exact conversion factor (1 grain per gallon = 0.0001302083 troy ounce per cup). See the formula, worked examples, and conversion table.
Grains per Gallon to Troy ounces 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 0.01711806105 / 131.4667088.
Density uses kilograms per cubic meter as the base unit.
Reserved above the conversion cards and below the converter.
About Converting Grains per Gallon to Troy ounces per Cup
Grain per Gallon and Troy ounce 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
troy ounces per cup = grains per gallon × 0.000130208333333
This factor comes from each unit's defined relationship to the category's base unit: 1 grain per gallon equals 0.0171180610453 base units, and 1 troy ounce per cup equals 131.466708828 base units, so dividing one by the other gives the direct grain per gallon-to-troy ounce per cup factor of 0.000130208333333.
Simple example
1 gr/gal × 0.0001302083333 = 0.0001302083 oz t/cup
1 grain per gallon = 0.0001302083 troy ounces per cup.
Real-world example
1,000 gr/gal × 0.0001302083333 = 0.1302083333 oz t/cup
1,000 grains per gallon = 0.1302083333 troy ounces per cup.
Conversion table
| Grain per Gallon (gr/gal) | Troy ounce per Cup (oz t/cup) |
|---|---|
| 0.1 gr/gal | 0.0000130208 oz t/cup |
| 1 gr/gal | 0.0001302083 oz t/cup |
| 10 gr/gal | 0.0013020833 oz t/cup |
| 100 gr/gal | 0.0130208333 oz t/cup |
| 1,000 gr/gal | 0.1302083333 oz t/cup |
| 10,000 gr/gal | 1.302083333 oz t/cup |
Reverse conversion: Troy ounce per Cup to Grain per Gallon
0.0001302083 oz t/cup × 7680 = 0.999999744 gr/gal
0.0001302083 troy ounces per cup = 0.999999744 grains per gallon.
grains per gallon = troy ounces per cup × 7680
For a page dedicated to this direction, see Troy ounce per Cup to Grain per Gallon.
Understanding the Grain per Gallon (gr/gal)
Mass per volume density.
Understanding the Troy ounce per Cup (oz t/cup)
Mass per volume density.
Reserved between the cards and the FAQ so the page stays balanced.
Frequently asked questions
How many troy ounces per cup are in 1 grain per gallon?
1 grain per gallon equals 0.0001302083 troy ounces per cup, using the exact defined conversion factor rather than an estimate.
How do I convert grain per gallon to troy ounce per cup?
Multiply the grain per gallon value by 0.0001302083333. The converter above does this instantly to whatever precision you set.
How do I convert troy ounce per cup back to grain per gallon?
Use the reverse factor: 1 troy ounce per cup equals 7,680 grains per gallon. You can also use the swap control in the converter above to flip the direction instantly.
What is a grain per gallon?
Grain per Gallon (gr/gal) is a unit of density.
What is a troy ounce per cup?
Troy ounce per Cup (oz t/cup) is a unit of density.
Is the grain per gallon to troy ounce per cup conversion exact?
Yes. Both grain per gallon and troy ounce per cup are defined by fixed standards rather than physical artifacts, so the factor of 0.0001302083333 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.