Question 2.29: Calculating Density An object has a mass of 23.4 g and displ......
Calculating Density
An object has a mass of 23.4 g and displaces 5.7 mL of water.
Determine its density in grams per milliliter.
Step-by-Step
GIVEN:
m = 23.4 g
V = 5.7 mL
FIND: density in g/mL
SOLUTION MAP
m, V\underset{ d= \frac{m}{V}}{\longrightarrow } d
RELATIONSHIPS USED
d= \frac{m}{V} (definition of density)
SOLUTION
d= \frac{m}{V}=\frac{23.4 g}{5.7 mL} = 4.11 g/mL = 4.1 g/mL
The units (g/mL) are units of density. The answer is in the range of values for the densities of liquids and solids (see Table 2.4).
Table 2.4
| Densities of Some Common Substances | |
| Substance | Density (g/cm^{3}) |
| charcoal, oak | 0.57 |
| ethanol | 0.789 |
| ice | 0.92 |
| water | 1.0 |
| glass | 2.6 |
| aluminum | 2.7 |
| titanium | 4.50 |
| iron | 7.86 |
| copper | 8.96 |
| lead | 11.4 |
| gold | 19.3 |
| platinum | 21.4 |
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