Mass per volume density.
Grains per Cup to Carats per Quart Converter — gr/cup to ct/qt
Convert Grain per Cup (gr/cup) to Carat per Quart (ct/qt) using the exact conversion factor (1 grain per cup = 1.2959782 carat per quart). See the formula, worked examples, and conversion table.
Grains per Cup to Carats per Quart 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 / 0.2113376419.
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 Carats per Quart
Grain per Cup and Carat per Quart 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
carats per quart = grains per cup × 1.2959782
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 carat per quart equals 0.211337641887 base units, so dividing one by the other gives the direct grain per cup-to-carat per quart factor of 1.2959782.
Simple example
1 gr/cup × 1.2959782 = 1.2959782 ct/qt
1 grain per cup = 1.2959782 carats per quart.
Real-world example
1,000 gr/cup × 1.2959782 = 1,295.9782 ct/qt
1,000 grains per cup = 1,295.9782 carats per quart.
Conversion table
| Grain per Cup (gr/cup) | Carat per Quart (ct/qt) |
|---|---|
| 0.1 gr/cup | 0.12959782 ct/qt |
| 1 gr/cup | 1.2959782 ct/qt |
| 10 gr/cup | 12.959782 ct/qt |
| 100 gr/cup | 129.59782 ct/qt |
| 1,000 gr/cup | 1,295.9782 ct/qt |
| 10,000 gr/cup | 12,959.782 ct/qt |
Reverse conversion: Carat per Quart to Grain per Cup
1.2959782 ct/qt × 0.7716179176 = 1 gr/cup
1.2959782 carats per quart = 1 grains per cup.
grains per cup = carats per quart × 0.771617917647
For a page dedicated to this direction, see Carat per Quart to Grain per Cup.
Understanding the Grain per Cup (gr/cup)
Mass per volume density.
Understanding the Carat per Quart (ct/qt)
Mass per volume density.
Reserved between the cards and the FAQ so the page stays balanced.
Frequently asked questions
How many carats per quart are in 1 grain per cup?
1 grain per cup equals 1.2959782 carats per quart, using the exact defined conversion factor rather than an estimate.
How do I convert grain per cup to carat per quart?
Multiply the grain per cup value by 1.2959782. The converter above does this instantly to whatever precision you set.
How do I convert carat per quart back to grain per cup?
Use the reverse factor: 1 carat per quart equals 0.7716179176 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 carat per quart?
Carat per Quart (ct/qt) is a unit of density.
Is the grain per cup to carat per quart conversion exact?
Yes. Both grain per cup and carat per quart are defined by fixed standards rather than physical artifacts, so the factor of 1.2959782 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.