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.

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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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