Which sample has a higher density: 1.00 g of pure gold or 1.00 kg of pure gold?

• A. The 1.00 g sample has a higher density.
• B. The 1.00 kg sample has a higher density.
• C. Both samples have the same density.
• D. Density cannot be determined without knowing the volume.

Answer: (C)

Verified step by step guidance

1. Recall the definition of density, which is mass divided by volume, expressed as \(\text{density} = \frac{\text{mass}}{\text{volume}}\).
2. Understand that density is an intrinsic property of a substance, meaning it does not depend on the amount of the substance present.
3. Since both samples are pure gold, their densities are the same regardless of whether the mass is 1.00 g or 1.00 kg.
4. Recognize that even though the masses differ, the ratio of mass to volume (density) remains constant for pure gold.
5. Therefore, both samples have the same density because density depends on the material's nature, not the sample size.