Mass per volume density.
Long tons per Gallon to Carats per Cup Converter — long ton/gal to ct/cup
Convert Long ton per Gallon (long ton/gal) to Carat per Cup (ct/cup) using the exact conversion factor (1 long ton per gallon = 317,514.659 carat per cup). See the formula, worked examples, and conversion table.
Long tons per Gallon 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 268411.1972 / 0.8453505675.
Density uses kilograms per cubic meter as the base unit.
Reserved above the conversion cards and below the converter.
About Converting Long tons per Gallon to Carats per Cup
Long ton per Gallon 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 = long tons per gallon × 317514.659
This factor comes from each unit's defined relationship to the category's base unit: 1 long ton per gallon equals 268411.19719 base units, and 1 carat per cup equals 0.845350567546 base units, so dividing one by the other gives the direct long ton per gallon-to-carat per cup factor of 317514.659.
Simple example
1 long ton/gal × 317514.659 = 317,514.659 ct/cup
1 long ton per gallon = 317,514.659 carats per cup.
Real-world example
1,000 long ton/gal × 317514.659 = 317,514,659 ct/cup
1,000 long tons per gallon = 317,514,659 carats per cup.
Conversion table
| Long ton per Gallon (long ton/gal) | Carat per Cup (ct/cup) |
|---|---|
| 0.1 long ton/gal | 31,751.4659 ct/cup |
| 1 long ton/gal | 317,514.659 ct/cup |
| 10 long ton/gal | 3,175,146.59 ct/cup |
| 100 long ton/gal | 31,751,465.9 ct/cup |
| 1,000 long ton/gal | 317,514,659 ct/cup |
| 10,000 long ton/gal | 3,175,146,590 ct/cup |
Reverse conversion: Carat per Cup to Long ton per Gallon
1 ct/cup × 0.000003149460888 = 0.0000031495 long ton/gal
1 carat per cup = 0.0000031495 long tons per gallon.
long tons per gallon = carats per cup × 0.00000314946088836
For a page dedicated to this direction, see Carat per Cup to Long ton per Gallon.
Understanding the Long ton per Gallon (long ton/gal)
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 long ton per gallon?
1 long ton per gallon equals 317,514.659 carats per cup, using the exact defined conversion factor rather than an estimate.
How do I convert long ton per gallon to carat per cup?
Multiply the long ton per gallon value by 317514.659. The converter above does this instantly to whatever precision you set.
How do I convert carat per cup back to long ton per gallon?
Use the reverse factor: 1 carat per cup equals 0.0000031495 long tons per gallon. You can also use the swap control in the converter above to flip the direction instantly.
What is a long ton per gallon?
Long ton per Gallon (long ton/gal) is a unit of density.
What is a carat per cup?
Carat per Cup (ct/cup) is a unit of density.
Is the long ton per gallon to carat per cup conversion exact?
Yes. Both long ton per gallon and carat per cup are defined by fixed standards rather than physical artifacts, so the factor of 317514.659 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.