Iron has a density of 7.86 g/cm^3. Calculate the volume (in dL) of a piece of iron having a mass of 3.52

kg. Note that the density is provided in different units of volume and mass than the desired units of volume (dL) and the given units of mass (kg). You will need to express the density in kg/dL (1 cm^3 = 1 mL) before calculating the volume for the piece of iron.

Question

Chemistry

Richmond

8 April, 23:28

Iron has a density of 7.86 g/cm^3. Calculate the volume (in dL) of a piece of iron having a mass of 3.52

kg. Note that the density is provided in different units of volume and mass than the desired units of volume (dL) and the given units of mass (kg). You will need to express the density in kg/dL (1 cm^3 = 1 mL) before calculating the volume for the piece of iron.

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Answers (1)

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Brenna Carson · Answer 1

Density is the ratio of mass to volume

D = m / V

V = m / D

V = 4770 g / 7.86g/cm³

V = 606.9 cm³

V = 606.9 cm³ x (1 dL / 100 cm³)

V = 6.069 dL

The answer, 6.07 dL, is reported to three significant digits due to the precision reported for the density.