A sample of pure silver has a mass of 52.5 g. Given that the density of pure silver is 10.5 g/cm^3 at 20°C, what is the volume of the sample?

• A. 52.5 cm^3
• B. 5.00 cm^3
• C. 2.00 cm^3
• D. 10.5 cm^3

Answer: (B)

Verified step by step guidance

1. Identify the given quantities: mass of silver (m) = 52.5 g, and density of silver (\(\rho\)) = 10.5 g/cm^3.
2. Recall the formula that relates mass, density, and volume: \(\text{Density} = \frac{\text{Mass}}{\text{Volume}}\) or \(\rho = \frac{m}{V}\).
3. Rearrange the formula to solve for volume: \(V = \frac{m}{\rho}\).
4. Substitute the known values into the equation: \(V = \frac{52.5\ \text{g}}{10.5\ \text{g/cm}^3}\).
5. Calculate the volume by performing the division to find the volume in cm\(^3\).