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 |
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