# You can identify a metal by carefully determining its density. A 29.51 g sample of an unknown metal is 1.50 cm long, 2.50 cm wide, and 1.00 cm thick. What is a possible identity of the element?

Jan 15, 2018

$\rho = \text{Mass"/"volume}$
${\rho}_{\text{unknown metal}} = \frac{29.51 \cdot g}{1.50 \cdot c m \times 2.50 \cdot c m \times 1.00 \cdot c m}$
$= 7.90 \cdot g \cdot c {m}^{-} 3$
....you could look up a list detailing the densities of metals and alloys, and search for a likely candidate. Iron, $\rho = 7.87 \cdot g \cdot c {m}^{-} 3$, fits the bill. Of course, no one would know the densities of common metals off the top of their heads.