Question

consider the following metals and their densities:
element density (g/ml)
magnesium 1.74
gold 19.3
tin 7.29
iron 7.87
chromium 7.15

if there are samples of magnesium, gold, tin, iron, and chromium, where each sample has the same mass, which of the metals will occupy the largest volume? select the single best answer.

magnesium
gold
tin
iron
chromium

Explanation:

Step1: Recall density formula

The density formula is $
ho=\frac{m}{V}$, where $
ho$ is density, $m$ is mass and $V$ is volume. Rearranging for volume gives $V = \frac{m}{
ho}$.

Step2: Analyze the relationship

Since the mass $m$ is the same for all samples, the volume $V$ is inversely - proportional to the density $
ho$. The metal with the lowest density will have the largest volume.

Step3: Compare densities

From the table, magnesium has the lowest density ($1.74\frac{g}{mL}$) among magnesium, gold, tin, iron and chromium.

Answer:

magnesium