Question

1. the diagrams below represent three samples of the same substance, each having a different size and shape. the diagrams are not drawn to scale if sample c were compressed, which would probably occur? a) the volume would increase and the density would increase. b) the volume would decrease and the density would decrease. c) the volume would increase and the density would decrease. d) the volume would decrease and the density would increase.

Explanation:

Step1: Recall density formula

Density $
ho=\frac{m}{V}$, where $m$ is mass and $V$ is volume.

Step2: Analyze effect of compression

When sample C is compressed, mass $m$ remains constant (since no matter is added or removed). Compression reduces the volume $V$.

Step3: Determine density change

Since $
ho=\frac{m}{V}$ and $m$ is constant while $V$ decreases, density $
ho$ will increase according to the formula.

Answer:

D) The volume would decrease and the density would increase.