Question

1. a cup of metal beads was measured to have a mass of 430 grams. by water displacement, the volume of the beads was calculated to be 48.0 ml. given the densities of different metals in the table below, identify the metal. show your calculation.

table: metal (gold, copper, bronze); density (19.3 g/ml, 8.96 g/ml, 8.70 g/ml)

Explanation:

Step1: Recall density formula

Density formula is $
ho = \frac{m}{V}$, where $
ho$ is density, $m$ is mass, and $V$ is volume. We need to calculate density of the metal beads.

Step2: Identify given values

Mass $m = 430\ \text{g}$, Volume $V = 48.0\ \text{mL}$.

Step3: Calculate density

Substitute values into formula: $
ho = \frac{430\ \text{g}}{48.0\ \text{mL}} \approx 8.96\ \text{g/mL}$.

Step4: Compare with table

From the table, copper has density $8.96\ \text{g/mL}$, so the metal is copper.

Answer:

The metal is Copper (density calculated as $\approx 8.96\ \text{g/mL}$, matching copper's density).