College

If the density of a bar of gold is 19.3 g/cm³ and you cut it into 4 pieces, what is the density of each piece of gold?

A. 19.3 g/cm³
B. 9.65 g/cm³
C. 38.6 g/cm³
D. 4.825 g/cm³

Answer :

a. The density of each piece of gold remains 19.3 g/cm³ because density is an intrinsic property that does not change when a material is divided into smaller pieces.

The density of a material is defined as its mass per unit volume. Since density is an intrinsic property, it does not change when the material is divided into smaller pieces. Therefore, each piece of gold, no matter how small, will have the same density as the original bar.

To summarize:

  • Density: Intrinsic property, remains constant regardless of how the material is divided
  • Original density of gold: 19.3 g/cm³
  • Density of each divided piece: 19.3 g/cm³