The density of gold is 19.3 g/cm^3. What is the volume, in cm^3, of a gold nugget with a mass of 13 g? (Density: d = m/v)

• A. 19.3 cm^3
• B. 6.15 cm^3
• C. 0.67 cm^3
• D. 1.49 cm^3

Answer: (C)

Verified step by step guidance

1. Identify the given quantities: the density of gold \(d = 19.3 \text{ g/cm}^3\) and the mass of the gold nugget \(m = 13 \text{ g}\).
2. Recall the formula relating density, mass, and volume: \(d = \frac{m}{v}\), where \(v\) is the volume.
3. Rearrange the formula to solve for volume: \(v = \frac{m}{d}\).
4. Substitute the known values into the equation: \(v = \frac{13 \text{ g}}{19.3 \text{ g/cm}^3}\).
5. Perform the division to find the volume in \(\text{cm}^3\) (do not forget to keep track of units).