Final answer:
The volume of a 16.24 g sample of magnesium is approximately 9.33 cm³, calculated by dividing the mass of the sample by the density of magnesium (1.74 g/cm³).
Step-by-step explanation:
To calculate the volume of a 16.24 g sample of magnesium, we need to know the density of magnesium. The density (d) of a substance is the mass per unit volume. We can use the formula d = m/V, where m is mass and V is volume. To find the volume (V), we rearrange the formula: V = m/d. Magnesium's density is approximately 1.74 g/cm³. Thus, the volume of a 16.24 g sample of magnesium is calculated as:
V = m/d = 16.24 g / 1.74 g/cm³ = 9.33 cm³ (rounded to two decimal places).
So, the 16.24 g sample of magnesium has a volume of approximately 9.33 cm³.