To calculate the density of the substance, we can use the formula:
\[ \text{Density} = \frac{\text{Mass}}{\text{Volume}} \]
Given that the mass of the substance is 4725 grams and the volume is 350 cm³, we can substitute these values into the formula:
\[ \text{Density} = \frac{4725 , \text{grams}}{350 , \text{cm}^3} \approx 13.5 , \text{g/cm}^3 \]
Now, we can compare this calculated density with the densities of the substances provided:
- Gold: ~19.3 g/cm³
- Lead: ~11.3 g/cm³
- Iron: ~7.9 g/cm³
- Mercury: ~13.6 g/cm³
The calculated density of approximately 13.5 g/cm³ is very close to the density of Mercury, which is 13.6 g/cm³. Therefore, the unknown substance identified is Mercury.