Carat per Cup (ct/cup) expresses mass in carat per unit volume in cup, found by dividing a mass value by a volume value.
Carat per Cup to Grain per Liter
Convert carat per cup (ct/cup) to grain per liter (gr/L) instantly with formula, conversion table, and FAQ.
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Convert carat per cup (ct/cup) to grain per liter (gr/L) instantly with formula, conversion table, and FAQ.
Grain per Liter (gr/L) expresses mass in grain per unit volume in liter, found by dividing a mass value by a volume value.
gr/L = ct/cup × 13.045753
Results update instantly for Carat per Cup to Grain per Liter conversions.
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Formula
gr/L = ct/cup × 13.045753
ct/cup = gr/L × 0.076653
Conversion table
| 1 ct/cup | 13.045753 gr/L |
| 5 ct/cup | 65.228764 gr/L |
| 10 ct/cup | 130.457529 gr/L |
| 20 ct/cup | 260.915058 gr/L |
| 50 ct/cup | 652.287645 gr/L |
| 100 ct/cup | 1304.575289 gr/L |
| 500 ct/cup | 6522.876446 gr/L |
| 1000 ct/cup | 13045.752892 gr/L |
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How the formula works
Both carat per cup and grain per liter measure the same physical quantity (mass per unit volume), so converting between them is a single multiplication. Multiply a value in carat per cup by 13.045753 to get grain per liter. To reverse the conversion, multiply a grain per liter value by 0.076653 to get back to carat per cup.
Frequently asked questions
What is Carat per Cup (ct/cup)?
Carat per Cup (ct/cup) expresses mass in carat per unit volume in cup, found by dividing a mass value by a volume value.
What is Grain per Liter (gr/L)?
Grain per Liter (gr/L) expresses mass in grain per unit volume in liter, found by dividing a mass value by a volume value.
How do I convert carat per cup to grain per liter?
Multiply the carat per cup value by 13.045753 to get the equivalent in grain per liter. For example, 5 ct/cup × 13.045753 = 65.228764 gr/L.
Is this conversion exact?
Yes. Both units are defined using fixed metric and imperial conversion constants, so the factor 13.045753 is an exact, non-rounded value.
Can I convert grain per liter back to carat per cup?
Yes. Divide the grain per liter value by 13.045753, or multiply it by 0.076653, to get carat per cup.
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About converting carat per cup to grain per liter
Carat per Cup (ct/cup) expresses mass in carat per unit volume in cup, found by dividing a mass value by a volume value. Grain per Liter (gr/L) expresses mass in grain per unit volume in liter, found by dividing a mass value by a volume value.
Use this calculator to move between carat per cup and grain per liter accurately for science, engineering, manufacturing, or everyday density calculations. The Universal Converter uses exact unit factors, so results stay consistent across the site.