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Question 0.3: Using Density to Calculate a Volume What is the volume in cm......

Using Density to Calculate a Volume

What is the volume in cm³ of 454 g of gold? (See Table 0.4.)

TABLE 0.4 Densities of Some Common Materials

Substance Density (g/cm³) Substance Density (g/cm³)
Ice (0 °C) 0.917 Human fat 0.94
Water (3.98 °C) 1.0000 Human muscle 1.06
Gold 19.31 Cork 0.22–0.26
Helium (25 °C) 0.000 164 Balsa wood 0.12
Air (25 °C) 0.001 185 Earth 5.54
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As described in the text, density is mass divided by volume, so volume is mass divided by density:

\text{Density} = \frac{\text{Mass}}{\text{Volume}} \quad so \quad \text{Volume} = \frac{\text{Mass}}{\text{Density}} \\ \text{Volume} = \frac{454 \ \cancel{g} \ gold}{19.31 \ \cancel{g}/cm^3} = 23.5 \ cm^3 \ gold

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