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Jet001
2 months ago
5

What is the volume in ml of a 1.11 carat diamond, given the density of diamond is 3.51 g/ml?

Chemistry
1 answer:
KiRa [2.9K]2 months ago
3 0
The answer is that the diamond's volume measures 0.063 ml.
With a density of d(diamond) = 3.51 g/ml, and a mass of m(diamond) = 1.11 carat, with 1 carat being equivalent to 0.2 grams, we convert m(diamond) to grams: m(diamond) = 1.11 carat·0.2 gram/carat, which gives m(diamond) = 0.222 g.
To find the volume: V(diamond) = m(diamond) ÷ d(diamond), which results in V(diamond) = 0.222 g ÷ 3.51 g/ml = 0.063 ml.
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Answer:

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Explanation:

Step 1: Provided information

Average separation between oxygen and nitrogen atoms: 115 pm

Step 2: Change the distance to meters (SI standard unit)

Using the conversion 1 m = 10¹² pm.

115 pm × (1 m/10¹² pm) = 1.15 × 10⁻¹⁰ m

Step 3: Transform the distance to millimeters

Employing the conversion 1 m = 10³ mm.

1.15 × 10⁻¹⁰ m × (10³ mm/1 m) = 1.15 × 10⁻⁷ mm

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