Mass per volume density.
Carats per Teaspoon to Grains per Teaspoon Converter — ct/tsp to gr/tsp
Convert Carat per Teaspoon (ct/tsp) to Grain per Teaspoon (gr/tsp) using the exact conversion factor (1 carat per teaspoon = 3.086471671 grain per teaspoon). See the formula, worked examples, and conversion table.
Carats per Teaspoon to Grains per Teaspoon 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 40.57682724 / 13.14667088.
Density uses kilograms per cubic meter as the base unit.
Reserved above the conversion cards and below the converter.
About Converting Carats per Teaspoon to Grains per Teaspoon
Carat per Teaspoon and Grain per Teaspoon 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 teaspoon = carats per teaspoon × 3.08647167059
This factor comes from each unit's defined relationship to the category's base unit: 1 carat per teaspoon equals 40.5768272422 base units, and 1 grain per teaspoon equals 13.1466708828 base units, so dividing one by the other gives the direct carat per teaspoon-to-grain per teaspoon factor of 3.08647167059.
Simple example
1 ct/tsp × 3.086471671 = 3.086471671 gr/tsp
1 carat per teaspoon = 3.086471671 grains per teaspoon.
Real-world example
1,000 ct/tsp × 3.086471671 = 3,086.471671 gr/tsp
1,000 carats per teaspoon = 3,086.471671 grains per teaspoon.
Conversion table
| Carat per Teaspoon (ct/tsp) | Grain per Teaspoon (gr/tsp) |
|---|---|
| 0.1 ct/tsp | 0.3086471671 gr/tsp |
| 1 ct/tsp | 3.086471671 gr/tsp |
| 10 ct/tsp | 30.86471671 gr/tsp |
| 100 ct/tsp | 308.6471671 gr/tsp |
| 1,000 ct/tsp | 3,086.471671 gr/tsp |
| 10,000 ct/tsp | 30,864.71671 gr/tsp |
Reverse conversion: Grain per Teaspoon to Carat per Teaspoon
3.086471671 gr/tsp × 0.32399455 = 1 ct/tsp
3.086471671 grains per teaspoon = 1 carats per teaspoon.
carats per teaspoon = grains per teaspoon × 0.32399455
For a page dedicated to this direction, see Grain per Teaspoon to Carat per Teaspoon.
Understanding the Carat per Teaspoon (ct/tsp)
Mass per volume density.
Understanding the Grain per Teaspoon (gr/tsp)
Mass per volume density.
Reserved between the cards and the FAQ so the page stays balanced.
Frequently asked questions
How many grains per teaspoon are in 1 carat per teaspoon?
1 carat per teaspoon equals 3.086471671 grains per teaspoon, using the exact defined conversion factor rather than an estimate.
How do I convert carat per teaspoon to grain per teaspoon?
Multiply the carat per teaspoon value by 3.086471671. The converter above does this instantly to whatever precision you set.
How do I convert grain per teaspoon back to carat per teaspoon?
Use the reverse factor: 1 grain per teaspoon equals 0.32399455 carats per teaspoon. You can also use the swap control in the converter above to flip the direction instantly.
What is a carat per teaspoon?
Carat per Teaspoon (ct/tsp) is a unit of density.
What is a grain per teaspoon?
Grain per Teaspoon (gr/tsp) is a unit of density.
Is the carat per teaspoon to grain per teaspoon conversion exact?
Yes. Both carat per teaspoon and grain per teaspoon are defined by fixed standards rather than physical artifacts, so the factor of 3.086471671 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.