Mass per volume density.
Carats per Liter to Grains per Cup Converter — ct/L to gr/cup
Convert Carat per Liter (ct/L) to Grain per Cup (gr/cup) using the exact conversion factor (1 carat per liter = 0.7302228896 grain per cup). See the formula, worked examples, and conversion table.
Carats per Liter 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 0.2 / 0.2738889767.
Density uses kilograms per cubic meter as the base unit.
Reserved above the conversion cards and below the converter.
About Converting Carats per Liter to Grains per Cup
Carat per Liter 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 = carats per liter × 0.730222889552
This factor comes from each unit's defined relationship to the category's base unit: 1 carat per liter equals 0.2 base units, and 1 grain per cup equals 0.273888976724 base units, so dividing one by the other gives the direct carat per liter-to-grain per cup factor of 0.730222889552.
Simple example
1 ct/L × 0.7302228896 = 0.7302228896 gr/cup
1 carat per liter = 0.7302228896 grains per cup.
Real-world example
1,000 ct/L × 0.7302228896 = 730.2228896 gr/cup
1,000 carats per liter = 730.2228896 grains per cup.
Conversion table
| Carat per Liter (ct/L) | Grain per Cup (gr/cup) |
|---|---|
| 0.1 ct/L | 0.073022289 gr/cup |
| 1 ct/L | 0.7302228896 gr/cup |
| 10 ct/L | 7.302228896 gr/cup |
| 100 ct/L | 73.02228896 gr/cup |
| 1,000 ct/L | 730.2228896 gr/cup |
| 10,000 ct/L | 7,302.228896 gr/cup |
Reverse conversion: Grain per Cup to Carat per Liter
0.7302228896 gr/cup × 1.369444884 = 1 ct/L
0.7302228896 grains per cup = 1 carats per liter.
carats per liter = grains per cup × 1.36944488362
For a page dedicated to this direction, see Grain per Cup to Carat per Liter.
Understanding the Carat per Liter (ct/L)
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 carat per liter?
1 carat per liter equals 0.7302228896 grains per cup, using the exact defined conversion factor rather than an estimate.
How do I convert carat per liter to grain per cup?
Multiply the carat per liter value by 0.7302228896. The converter above does this instantly to whatever precision you set.
How do I convert grain per cup back to carat per liter?
Use the reverse factor: 1 grain per cup equals 1.369444884 carats per liter. You can also use the swap control in the converter above to flip the direction instantly.
What is a carat per liter?
Carat per Liter (ct/L) is a unit of density.
What is a grain per cup?
Grain per Cup (gr/cup) is a unit of density.
Is the carat per liter to grain per cup conversion exact?
Yes. Both carat per liter and grain per cup are defined by fixed standards rather than physical artifacts, so the factor of 0.7302228896 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.