Mass per volume density.
Grains per Quart to Milligrams per Cup Converter — gr/qt to mg/cup
Convert Grain per Quart (gr/qt) to Milligram per Cup (mg/cup) using the exact conversion factor (1 grain per quart = 16.1997275 milligram per cup). See the formula, worked examples, and conversion table.
Grains per Quart to Milligrams 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 0.06847224418 / 0.004226752838.
Density uses kilograms per cubic meter as the base unit.
Reserved above the conversion cards and below the converter.
About Converting Grains per Quart to Milligrams per Cup
Grain per Quart and Milligram 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
milligrams per cup = grains per quart × 16.1997275
This factor comes from each unit's defined relationship to the category's base unit: 1 grain per quart equals 0.0684722441811 base units, and 1 milligram per cup equals 0.00422675283773 base units, so dividing one by the other gives the direct grain per quart-to-milligram per cup factor of 16.1997275.
Simple example
1 gr/qt × 16.1997275 = 16.1997275 mg/cup
1 grain per quart = 16.1997275 milligrams per cup.
Real-world example
1,000 gr/qt × 16.1997275 = 16,199.7275 mg/cup
1,000 grains per quart = 16,199.7275 milligrams per cup.
Conversion table
| Grain per Quart (gr/qt) | Milligram per Cup (mg/cup) |
|---|---|
| 0.1 gr/qt | 1.61997275 mg/cup |
| 1 gr/qt | 16.1997275 mg/cup |
| 10 gr/qt | 161.997275 mg/cup |
| 100 gr/qt | 1,619.97275 mg/cup |
| 1,000 gr/qt | 16,199.7275 mg/cup |
| 10,000 gr/qt | 161,997.275 mg/cup |
Reverse conversion: Milligram per Cup to Grain per Quart
16.1997275 mg/cup × 0.06172943341 = 1 gr/qt
16.1997275 milligrams per cup = 1 grains per quart.
grains per quart = milligrams per cup × 0.0617294334118
For a page dedicated to this direction, see Milligram per Cup to Grain per Quart.
Understanding the Grain per Quart (gr/qt)
Mass per volume density.
Understanding the Milligram per Cup (mg/cup)
Mass per volume density.
Reserved between the cards and the FAQ so the page stays balanced.
Frequently asked questions
How many milligrams per cup are in 1 grain per quart?
1 grain per quart equals 16.1997275 milligrams per cup, using the exact defined conversion factor rather than an estimate.
How do I convert grain per quart to milligram per cup?
Multiply the grain per quart value by 16.1997275. The converter above does this instantly to whatever precision you set.
How do I convert milligram per cup back to grain per quart?
Use the reverse factor: 1 milligram per cup equals 0.0617294334 grains per quart. You can also use the swap control in the converter above to flip the direction instantly.
What is a grain per quart?
Grain per Quart (gr/qt) is a unit of density.
What is a milligram per cup?
Milligram per Cup (mg/cup) is a unit of density.
Is the grain per quart to milligram per cup conversion exact?
Yes. Both grain per quart and milligram per cup are defined by fixed standards rather than physical artifacts, so the factor of 16.1997275 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.