Question

The famous Hope Diamond at the Smithsonian National Museum of Natural History has a mass of 45.52 carats (Figure $\mathrm{P} 3.134$ ). Diamond is a crystalline form of carbon. a. How many moles of carbon are in the Hope Diamond (1 carat $=200.0 \mathrm{mg}$ )? b. How many carbon atoms are in the diamond? (FIGURE CANT COPY)

Name: Problem 134, Chapter 3: Chemistry The Science in Context
Uploaded: 2020-09-22T21:10:53-08:00
Duration: 2 min 20 s
Channel: Kim Trang Nguyen
Description: The famous Hope Diamond at the Smithsonian National Museum of Natural History has a mass of 45.52 carats (Figure P 3.134 ). Diamond is a crystalline form of carbon. a. How many moles of carbon are in the Hope Diamond (1 carat =200.0 mg )? b. How many carbon atoms are in the diamond? (FIGURE CANT COPY)

   The famous Hope Diamond at the Smithsonian National Museum of Natural History has a mass of 45.52 carats (Figure $\mathrm{P} 3.134$ ). Diamond is a crystalline form of carbon.
a. How many moles of carbon are in the Hope Diamond (1 carat $=200.0 \mathrm{mg}$ )?
b. How many carbon atoms are in the diamond?
(FIGURE CANT COPY)

Chemistry The Science in Context

Thomas R. Gilbert 5th Edition

Chapter 3, Problem 134

Instant Answer

Solved by Expert Kim Trang Nguyen

09/22/2020

Step 1

Given that 1 carat is equal to 200 milligrams, we can use this conversion factor to find the mass in grams. The mass of the Hope Diamond in grams is given by: \[45.52 \text{ carats} \times \frac{200 \text{ mg}}{1 \text{ carat}} \times \frac{1 \text{ g}}{1000 Show more…

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The famous Hope Diamond at the Smithsonian National Museum of Natural History has a mass of 45.52 carats (Figure $\mathrm{P} 3.134$ ). Diamond is a crystalline form of carbon. a. How many moles of carbon are in the Hope Diamond (1 carat $=200.0 \mathrm{mg}$ )? b. How many carbon atoms are in the diamond? (FIGURE CANT COPY)

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Key Concepts

Unit Conversion

This concept involves converting between different units of measurement, such as converting carats to grams. In this context, knowing that 1 carat equals 200.0 mg (or 0.200 g) allows one to determine the total mass of the diamond in grams, which is essential for further calculations.

Molar Mass

Molar mass is a key concept in chemistry that expresses the mass of one mole of a substance, typically given in grams per mole. For carbon, this enables the conversion of the mass of the diamond into moles of carbon by using the formula: moles = mass/molar mass.

Moles and Avogadro's Number

The mole is a fundamental unit in chemistry representing a specific number of particles, typically atoms or molecules. Avogadro's number (approximately 6.022 x 10^23) defines the number of atoms in one mole of a substance. This concept is crucial for calculating the total number of carbon atoms in the diamond once the number of moles is determined.

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