contestada

An unknown metal having a mass of 287.8 g was added to a graduated cylinder that contained
31.47 mL of water. After the addition of the metal, the water level rose to 58.85 mL. Determine
the volume of the metal. Calculate the density of the metal using dimensional analysis.

Respuesta :

The metal displaced a volume of

58.85 mL - 31.47 mL = 27.38 mL = 27.38 cm³

of water, which is to say the metal has this volume.

If the metal has a mass of 287.8 g, then its density is its mass per unit volume,

(287.8 g)/(27.38 cm³) ≈ 10.51 g/cm³