Mass per volume density.
Grains per Liter to Carats per Cup Converter — gr/L to ct/cup
Convert Grain per Liter (gr/L) to Carat per Cup (ct/cup) using the exact conversion factor (1 grain per liter = 0.0766532992 carat per cup). See the formula, worked examples, and conversion table.
Grains per Liter to Carats 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 0.06479891 / 0.8453505675.
Density uses kilograms per cubic meter as the base unit.
Reserved above the conversion cards and below the converter.
About Converting Grains per Liter to Carats per Cup
Grain per Liter and Carat 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
carats per cup = grains per liter × 0.0766532992201
This factor comes from each unit's defined relationship to the category's base unit: 1 grain per liter equals 0.06479891 base units, and 1 carat per cup equals 0.845350567546 base units, so dividing one by the other gives the direct grain per liter-to-carat per cup factor of 0.0766532992201.
Simple example
1 gr/L × 0.07665329922 = 0.0766532992 ct/cup
1 grain per liter = 0.0766532992 carats per cup.
Real-world example
1,000 gr/L × 0.07665329922 = 76.65329922 ct/cup
1,000 grains per liter = 76.65329922 carats per cup.
Conversion table
| Grain per Liter (gr/L) | Carat per Cup (ct/cup) |
|---|---|
| 0.1 gr/L | 0.0076653299 ct/cup |
| 1 gr/L | 0.0766532992 ct/cup |
| 10 gr/L | 0.7665329922 ct/cup |
| 100 gr/L | 7.665329922 ct/cup |
| 1,000 gr/L | 76.65329922 ct/cup |
| 10,000 gr/L | 766.5329922 ct/cup |
Reverse conversion: Carat per Cup to Grain per Liter
0.0766532992 ct/cup × 13.04575289 = 0.9999999997 gr/L
0.0766532992 carats per cup = 0.9999999997 grains per liter.
grains per liter = carats per cup × 13.0457528922
For a page dedicated to this direction, see Carat per Cup to Grain per Liter.
Understanding the Grain per Liter (gr/L)
Mass per volume density.
Understanding the Carat per Cup (ct/cup)
Mass per volume density.
Reserved between the cards and the FAQ so the page stays balanced.
Frequently asked questions
How many carats per cup are in 1 grain per liter?
1 grain per liter equals 0.0766532992 carats per cup, using the exact defined conversion factor rather than an estimate.
How do I convert grain per liter to carat per cup?
Multiply the grain per liter value by 0.07665329922. The converter above does this instantly to whatever precision you set.
How do I convert carat per cup back to grain per liter?
Use the reverse factor: 1 carat per cup equals 13.04575289 grains per liter. You can also use the swap control in the converter above to flip the direction instantly.
What is a grain per liter?
Grain per Liter (gr/L) is a unit of density.
What is a carat per cup?
Carat per Cup (ct/cup) is a unit of density.
Is the grain per liter to carat per cup conversion exact?
Yes. Both grain per liter and carat per cup are defined by fixed standards rather than physical artifacts, so the factor of 0.07665329922 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.