What is the volume, in milliliters, of a 45.6 g sample of silver if the density of silver is 10.5 g/ml?

• A. 478 ml
• B. 55.1 ml
• C. 4.34 ml
• D. 0.23 ml

Answer: (C)

Verified step by step guidance

1. Identify the given quantities: mass of silver (m) = 45.6 g, and density of silver (\rho) = 10.5 g/ml.
2. Recall the formula that relates mass, volume, and density: \(\text{Density} = \frac{\text{Mass}}{\text{Volume}}\).
3. Rearrange the formula to solve for volume (V): \(V = \frac{m}{\rho}\).
4. Substitute the known values into the formula: \(V = \frac{45.6\ \text{g}}{10.5\ \text{g/ml}}\).
5. Calculate the volume using the division to find the volume in milliliters (ml).