Mass per volume density.
Grains per Quart to Troy ounces per Cup Converter — gr/qt to oz t/cup
Convert Grain per Quart (gr/qt) to Troy ounce per Cup (oz t/cup) using the exact conversion factor (1 grain per quart = 0.0005208333 troy ounce per cup). See the formula, worked examples, and conversion table.
Grains per Quart to Troy ounces per Cup converter
Converter
Density Converter
Convert thousands of mass-per-volume density combinations for science, engineering, agriculture, and fluids.
Mass per volume density.
Result = input x 0.06847224418 / 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 Quart to Troy ounces per Cup
Grain per Quart 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 quart × 0.000520833333333
This factor comes from each unit's defined relationship to the category's base unit: 1 grain per quart equals 0.0684722441811 base units, and 1 troy ounce per cup equals 131.466708828 base units, so dividing one by the other gives the direct grain per quart-to-troy ounce per cup factor of 0.000520833333333.
Simple example
1 gr/qt × 0.0005208333333 = 0.0005208333 oz t/cup
1 grain per quart = 0.0005208333 troy ounces per cup.
Real-world example
1,000 gr/qt × 0.0005208333333 = 0.5208333333 oz t/cup
1,000 grains per quart = 0.5208333333 troy ounces per cup.
Conversion table
| Grain per Quart (gr/qt) | Troy ounce per Cup (oz t/cup) |
|---|---|
| 0.1 gr/qt | 0.0000520833 oz t/cup |
| 1 gr/qt | 0.0005208333 oz t/cup |
| 10 gr/qt | 0.0052083333 oz t/cup |
| 100 gr/qt | 0.0520833333 oz t/cup |
| 1,000 gr/qt | 0.5208333333 oz t/cup |
| 10,000 gr/qt | 5.208333333 oz t/cup |
Reverse conversion: Troy ounce per Cup to Grain per Quart
0.0005208333 oz t/cup × 1920 = 0.999999936 gr/qt
0.0005208333 troy ounces per cup = 0.999999936 grains per quart.
grains per quart = troy ounces per cup × 1920
For a page dedicated to this direction, see Troy ounce per Cup to Grain per Quart.
Understanding the Grain per Quart (gr/qt)
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 quart?
1 grain per quart equals 0.0005208333 troy ounces per cup, using the exact defined conversion factor rather than an estimate.
How do I convert grain per quart to troy ounce per cup?
Multiply the grain per quart value by 0.0005208333333. The converter above does this instantly to whatever precision you set.
How do I convert troy ounce per cup back to grain per quart?
Use the reverse factor: 1 troy ounce per cup equals 1,920 grains per quart. You can also use the swap control in the converter above to flip the direction instantly.
What is a grain per quart?
Grain per Quart (gr/qt) 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 quart to troy ounce per cup conversion exact?
Yes. Both grain per quart and troy ounce per cup are defined by fixed standards rather than physical artifacts, so the factor of 0.0005208333333 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.