Mass per volume density.
Carats per Cup to Grains per Liter Converter — ct/cup to gr/L
Convert Carat per Cup (ct/cup) to Grain per Liter (gr/L) using the exact conversion factor (1 carat per cup = 13.04575289 grain per liter). See the formula, worked examples, and conversion table.
Carats per Cup to Grains per Liter 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 0.8453505675 / 0.06479891.
Density uses kilograms per cubic meter as the base unit.
Reserved above the conversion cards and below the converter.
About Converting Carats per Cup to Grains per Liter
Carat per Cup and Grain per Liter 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 liter = carats per cup × 13.0457528922
This factor comes from each unit's defined relationship to the category's base unit: 1 carat per cup equals 0.845350567546 base units, and 1 grain per liter equals 0.06479891 base units, so dividing one by the other gives the direct carat per cup-to-grain per liter factor of 13.0457528922.
Simple example
1 ct/cup × 13.04575289 = 13.04575289 gr/L
1 carat per cup = 13.04575289 grains per liter.
Real-world example
1,000 ct/cup × 13.04575289 = 13,045.75289 gr/L
1,000 carats per cup = 13,045.75289 grains per liter.
Conversion table
| Carat per Cup (ct/cup) | Grain per Liter (gr/L) |
|---|---|
| 0.1 ct/cup | 1.304575289 gr/L |
| 1 ct/cup | 13.04575289 gr/L |
| 10 ct/cup | 130.4575289 gr/L |
| 100 ct/cup | 1,304.575289 gr/L |
| 1,000 ct/cup | 13,045.75289 gr/L |
| 10,000 ct/cup | 130,457.5289 gr/L |
Reverse conversion: Grain per Liter to Carat per Cup
13.04575289 gr/L × 0.07665329922 = 0.9999999998 ct/cup
13.04575289 grains per liter = 0.9999999998 carats per cup.
carats per cup = grains per liter × 0.0766532992201
For a page dedicated to this direction, see Grain per Liter to Carat per Cup.
Understanding the Carat per Cup (ct/cup)
Mass per volume density.
Understanding the Grain per Liter (gr/L)
Mass per volume density.
Reserved between the cards and the FAQ so the page stays balanced.
Frequently asked questions
How many grains per liter are in 1 carat per cup?
1 carat per cup equals 13.04575289 grains per liter, using the exact defined conversion factor rather than an estimate.
How do I convert carat per cup to grain per liter?
Multiply the carat per cup value by 13.04575289. The converter above does this instantly to whatever precision you set.
How do I convert grain per liter back to carat per cup?
Use the reverse factor: 1 grain per liter equals 0.0766532992 carats per cup. You can also use the swap control in the converter above to flip the direction instantly.
What is a carat per cup?
Carat per Cup (ct/cup) is a unit of density.
What is a grain per liter?
Grain per Liter (gr/L) is a unit of density.
Is the carat per cup to grain per liter conversion exact?
Yes. Both carat per cup and grain per liter are defined by fixed standards rather than physical artifacts, so the factor of 13.04575289 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.