If the density of gold is 19.3 g/cm^3, what is the mass of a gold bar that has a volume of 2.0 cm^3?

• A. 38.6 g
• B. 21.3 g
• C. 9.65 g
• D. 17.3 g

Answer: (A)

Verified step by step guidance

1. Identify the given quantities: density (\( \rho \)) of gold is 19.3 g/cm\^3 and volume (\( V \)) of the gold bar is 2.0 cm\^3.
2. Recall the formula that relates mass (\( m \)), density (\( \rho \)), and volume (\( V \)): \[ m = \rho \times V \]
3. Substitute the given values into the formula: \[ m = 19.3 \text{ g/cm}^3 \times 2.0 \text{ cm}^3 \]
4. Multiply the density by the volume to find the mass of the gold bar.
5. Express the final answer with the correct units (grams) and check that it makes sense given the density and volume.