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Gemstones are weighed in carats, with 1 carat 200 mg (exactly). What is the mass in grams of the Hope Diamond, the world’s largest blue diamond at 44.4 carats? What is this mass in ounces?

   Gemstones are weighed in carats, with 1 carat 200 mg (exactly). What is the mass in grams of the Hope Diamond, the world’s largest blue diamond at 44.4 carats? What is this mass in ounces?

Chemistry

John E. Mcmurry,… 6th Edition

Chapter 1, Problem 19

Instant Answer

Solved by Expert Arron Martel

04/07/2020

Step 1

4 carats. We also know that 1 carat is equal to 200 milligrams. So, to find the weight of the Hope Diamond in milligrams, we multiply the weight in carats by 200. \[44.4 \text{ carats} \times 200 \text{ mg/carat} = 8880 \text{ mg}\] Show more…

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Gemstones are weighed in carats, with 1 carat 200 mg (exactly). What is the mass in grams of the Hope Diamond, the world’s largest blue diamond at 44.4 carats? What is this mass in ounces?

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Key Concepts

Gemstone Weight Measurement

Gemstones are commonly measured in carats, a unit that is specifically used in gemology. Knowing that 1 carat is exactly 200 milligrams is essential for accurately determining the mass and value of gemstones.

Unit Conversion

Unit conversion is the practice of converting a measurement from one system of units to another. In this context, it involves converting carats to grams by using the defined conversion factor (1 carat = 0.2 grams), which demonstrates the broader principle of using reliable conversion factors for precise calculations.

Metric to Imperial Conversion

Converting between metric units and imperial units, such as grams to ounces, is an example of dimensional analysis. This process requires applying standard conversion factors—like 1 ounce approximately equaling 28.35 grams—to ensure that measurements are accurately translated from one system to another.

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