Final answer:
After calculating the densities of all given metals, gold has the highest density at 10 g/mL, making it the most dense metal in the given data set.
Step-by-step explanation:
To determine which substance has the greatest density, we need to use the formula for density which is Density = Mass/Volume. From the given data, we can calculate density for each metal. Here, all masses are given as 5.08 grams, and the volumes are different.
- Aluminum has a volume of 10 mL, so the density is 5.08 g/10 mL = 0.508 g/mL.
- Iron has a volume of 2.5 mL, so the density is 5.08 g/2.5 mL = 2.032 g/mL.
- Gold has a volume of 5.0 mL, so using the data that 1 cm³ of gold has a mass of 19.3 grams (and 1 cm³ is equivalent to 1 mL), we find the density of gold to be 50 g/5.0 mL = 10 g/mL.
- Silver has a volume of 20 mL, so the density is 5.08 g/20 mL = 0.254 g/mL.
Comparing these densities, it's clear that gold has the highest density among the given choices.