Mass per volume density.
Carats per Cup to Long tons per Gallon Converter — ct/cup to long ton/gal
Convert Carat per Cup (ct/cup) to Long ton per Gallon (long ton/gal) using the exact conversion factor (1 carat per cup = 0.0000031495 long ton per gallon). See the formula, worked examples, and conversion table.
Carats per Cup to Long tons per Gallon 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 / 268411.1972.
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 Long tons per Gallon
Carat per Cup and Long ton per Gallon 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
long tons per gallon = carats per cup × 0.00000314946088836
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 long ton per gallon equals 268411.19719 base units, so dividing one by the other gives the direct carat per cup-to-long ton per gallon factor of 0.00000314946088836.
Simple example
1 ct/cup × 0.000003149460888 = 0.0000031495 long ton/gal
1 carat per cup = 0.0000031495 long tons per gallon.
Real-world example
1,000 ct/cup × 0.000003149460888 = 0.0031494609 long ton/gal
1,000 carats per cup = 0.0031494609 long tons per gallon.
Conversion table
| Carat per Cup (ct/cup) | Long ton per Gallon (long ton/gal) |
|---|---|
| 0.1 ct/cup | 3.149461e-7 long ton/gal |
| 1 ct/cup | 0.0000031495 long ton/gal |
| 10 ct/cup | 0.0000314946 long ton/gal |
| 100 ct/cup | 0.0003149461 long ton/gal |
| 1,000 ct/cup | 0.0031494609 long ton/gal |
| 10,000 ct/cup | 0.0314946089 long ton/gal |
Reverse conversion: Long ton per Gallon to Carat per Cup
0.0000031495 long ton/gal × 317514.659 = 1.000012419 ct/cup
0.0000031495 long tons per gallon = 1.000012419 carats per cup.
carats per cup = long tons per gallon × 317514.659
For a page dedicated to this direction, see Long ton per Gallon to Carat per Cup.
Understanding the Carat per Cup (ct/cup)
Mass per volume density.
Understanding the Long ton per Gallon (long ton/gal)
Mass per volume density.
Reserved between the cards and the FAQ so the page stays balanced.
Frequently asked questions
How many long tons per gallon are in 1 carat per cup?
1 carat per cup equals 0.0000031495 long tons per gallon, using the exact defined conversion factor rather than an estimate.
How do I convert carat per cup to long ton per gallon?
Multiply the carat per cup value by 0.000003149460888. The converter above does this instantly to whatever precision you set.
How do I convert long ton per gallon back to carat per cup?
Use the reverse factor: 1 long ton per gallon equals 317,514.659 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 long ton per gallon?
Long ton per Gallon (long ton/gal) is a unit of density.
Is the carat per cup to long ton per gallon conversion exact?
Yes. Both carat per cup and long ton per gallon are defined by fixed standards rather than physical artifacts, so the factor of 0.000003149460888 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.