Consider the following solids. The solids A, B, and C represent aluminum (D = 2.70g/mL), and silver (D = 10.5 g/mL). If each has a mass of 10.0 g, what is the identity of each solid? (2.7)

Verified step by step guidance

1. Identify the given densities: Aluminum (2.70 g/mL) and Silver (10.5 g/mL).
2. Use the formula for density: \( D = \frac{m}{V} \), where \( m \) is mass and \( V \) is volume.
3. Calculate the volume for each solid using the mass (10.0 g) and the given densities: \( V = \frac{m}{D} \).
4. Compare the calculated volumes to the relative sizes of the solids in the image to determine which solid corresponds to which metal.
5. Assign the identity of each solid based on the calculated volumes and the visual comparison.

Key Concepts

Density

Density is defined as mass per unit volume, typically expressed in grams per milliliter (g/mL) for solids and liquids. It is a crucial property that helps identify materials, as different substances have unique densities. In this question, the densities of aluminum (2.70 g/mL) and silver (10.5 g/mL) are provided, allowing for the identification of the solids based on their mass and volume.

Mass and Volume Relationship

The relationship between mass and volume is fundamental in determining density. For a given mass, the volume can be calculated using the formula: Volume = Mass / Density. In this scenario, since each solid has a mass of 10.0 g, the volume can be derived from the known densities, which will help in identifying each solid based on their respective volumes.

Material Identification

Material identification involves using physical properties, such as density, to distinguish between different substances. By calculating the volume of each solid using their mass and known densities, one can match the calculated volumes to the expected volumes for aluminum and silver. This process is essential in determining which solid corresponds to which material in the given problem.