Question

MetalDensity in g/cm3Aluminum2.7Silver10.5Gold19.3Steel7.8Juan finds a foreign coin that is so dirty that he can't tell what it is made of.He knows the density of these common materials and decides to find out ifthe coin is made of one of the materials. The mass of the coin is about 12 g,and the volume is about 4 cm. Which type of material could it be?O A. SteelKB. GoldOC. AluminumD. Silver

Answer 1

To determine the material we will determine the density using the values of mass and volume. We will use the following formula:

$\rho=\frac{m}{V}$

Where:

$\begin{gathered} \rho=\text{ density} \\ m=\text{ mass} \\ V=\text{ volume} \end{gathered}$

Now, we plug in the values:

$\rho=\frac{12g}{4cm^3}$

Solving the operations:

$\rho=3\text{ g/}cm^3$

The closest material is the one with a density of:

$\rho=2.7\text{ g/}cm^3$

Therefore, the material could be aluminum.