Final answer:
The density of the unknown metal is calculated using the formula D = m/V, where D is density, m is mass, and V is volume. The metal's mass is 82.9 g and its volume is 9.90 cm³, resulting in a density of 8.37 g/cm³. This density value should be used to identify the metal based on a comparison with the chart of known metal densities.
Step-by-step explanation:
To calculate the density of the unknown metal, use the formula for density, which is defined as mass per unit volume: D = m/V, where D is density, m is mass, and V is volume.
The mass of the unknown metal is given as 82.9 g, and the volume is 9.90 cm³. Substituting these values into the formula:
D = 82.9 g / 9.90 cm³
Therefore, the density of the metal is:
D = 8.37 g/cm³
Comparing this density to the chart of known densities of metals will help identify the metal. The exact metal cannot be identified without the chart provided during the test, but the given value should be matched to the closest density of a metal listed in the chart to determine the metal's identity.