Mass per volume density.
Carats per Tablespoon to Grains per Cup Converter — ct/tbsp to gr/cup
Convert Carat per Tablespoon (ct/tbsp) to Grain per Cup (gr/cup) using the exact conversion factor (1 carat per tablespoon = 49.38354673 grain per cup). See the formula, worked examples, and conversion table.
Carats per Tablespoon 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 13.52560908 / 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 Tablespoon to Grains per Cup
Carat per Tablespoon 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 tablespoon × 49.3835467294
This factor comes from each unit's defined relationship to the category's base unit: 1 carat per tablespoon equals 13.5256090807 base units, and 1 grain per cup equals 0.273888976724 base units, so dividing one by the other gives the direct carat per tablespoon-to-grain per cup factor of 49.3835467294.
Simple example
1 ct/tbsp × 49.38354673 = 49.38354673 gr/cup
1 carat per tablespoon = 49.38354673 grains per cup.
Real-world example
1,000 ct/tbsp × 49.38354673 = 49,383.54673 gr/cup
1,000 carats per tablespoon = 49,383.54673 grains per cup.
Conversion table
| Carat per Tablespoon (ct/tbsp) | Grain per Cup (gr/cup) |
|---|---|
| 0.1 ct/tbsp | 4.938354673 gr/cup |
| 1 ct/tbsp | 49.38354673 gr/cup |
| 10 ct/tbsp | 493.8354673 gr/cup |
| 100 ct/tbsp | 4,938.354673 gr/cup |
| 1,000 ct/tbsp | 49,383.54673 gr/cup |
| 10,000 ct/tbsp | 493,835.4673 gr/cup |
Reverse conversion: Grain per Cup to Carat per Tablespoon
49.38354673 gr/cup × 0.02024965937 = 1 ct/tbsp
49.38354673 grains per cup = 1 carats per tablespoon.
carats per tablespoon = grains per cup × 0.020249659375
For a page dedicated to this direction, see Grain per Cup to Carat per Tablespoon.
Understanding the Carat per Tablespoon (ct/tbsp)
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 tablespoon?
1 carat per tablespoon equals 49.38354673 grains per cup, using the exact defined conversion factor rather than an estimate.
How do I convert carat per tablespoon to grain per cup?
Multiply the carat per tablespoon value by 49.38354673. The converter above does this instantly to whatever precision you set.
How do I convert grain per cup back to carat per tablespoon?
Use the reverse factor: 1 grain per cup equals 0.0202496594 carats per tablespoon. You can also use the swap control in the converter above to flip the direction instantly.
What is a carat per tablespoon?
Carat per Tablespoon (ct/tbsp) 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 tablespoon to grain per cup conversion exact?
Yes. Both carat per tablespoon and grain per cup are defined by fixed standards rather than physical artifacts, so the factor of 49.38354673 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.