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The **density** of a substance is defined as its mass per unit volume. We can calculate the density using the formula:

[ \text{Density} (\rho) = \frac{\text{Mass} (m)}{\text{Volume} (V)} ]

Given that the sample has a volume of **50 cm³** and a mass of **135 g**, let's determine the density:

[ \rho = \frac{135 , \text{g}}{50 , \text{cm³}} ]

The calculated density is approximately **2.7 g/cm³**[^10^]. Now let's compare this value to known densities:

  1. **Gold**: Gold has a density of *19.3 g/cm³*⁷. The sample's density is significantly lower.

  2. **Pure Water**: The density of pure water is approximately **1 g/cm³** at 4.0°C (39.2°F) . The sample's density is higher than water.

  3. **Aluminum**: Aluminum has a density of *2.7 g/cm³*[^10^]. The sample's density matches that of aluminum.

  4. **Ocean Water**: Ocean water contains dissolved salts, which increase its density. Seawater density typically ranges from *1.02 g/cm³ to 1.03 g/cm³*. The sample's density is higher than seawater.

Based on the calculated density, the sample is most likely **aluminum**.

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dudems76342

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1y ago

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