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Hatshy [7]
3 years ago
8

How many atoms of carbon (C,12.01 g/mol) are in a diamond with a mass of 0.568 g?

Chemistry
1 answer:
Fantom [35]3 years ago
5 0

2.85 × 10^22. A diamond with a mass of 0.568 g contains

2.85 × 10^22 atoms C.

Diamond is a form of pure carbon.

a) Convert <em>grams of C to moles of C</em>

Moles of C = 0.568 g C × (1 mol C/12.01 g C) = 0.047 29 mol C

b) Convert <em>moles of C to atoms of C </em>

Atoms of C = 0.047 29 mol C × (6.022 × 10^23 atoms C)/(1 mol C)

= 2.85 × 10^22 atoms C

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Measurements > Density

Specific gravity is defined as the ratio between the density of a given substance to the density of a reference material, such as water:

Specific\text{ gravity = }\frac{density\text{ of substance}}{density\text{ of reference substance}}

The density of a substance is defined as the ratio between the mass and the volume of this substance:

density=\frac{mass}{volume}

Considering the reference substance as water and its density as 1.00 g/mL, we can determine the density of the substance which specific gravity is 0.860:

0.860=\frac{density\text{ of substance}}{1.00g/mL}\rightarrow density\text{ of substance = 0.860g/mL}

Thus, taking water as the reference substance, we can say that the density of the cleaning solution is 0.860 g/mL.

Now that we know the density of the cleaning solution (0.860 g/mL) and the mass of solution that is used to clean hospital equipment (415g), we can calculate the volume of solution that is used to clean the equipment:

\begin{gathered} density=\frac{mass}{volume}\rightarrow volume=\frac{mass}{density} \\  \\ volume=\frac{415g}{0.860g/mL}=483mL \end{gathered}

Therefore, 483 mL of the cleaning solution are used to clean hospital equipment.

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Mass =Moles*Rfm of CO2
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