Question

the measured mass and volume of three metal samples are shown. rank the samples according to their density.
sample a: mass 34.8 g, volume 7.1 ml
sample b: mass 48.9 g, volume 9.2 ml
sample c: mass 67.2 g, volume 9.8 ml

1. least dense

2.

1. most dense

Explanation:

Step1: Recall density formula

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

Step2: Calculate density of Sample A

$
ho_A=\frac{34.8\ g}{7.1\ mL}\approx4.90\ g/mL$

Step3: Calculate density of Sample B

$
ho_B=\frac{48.9\ g}{6.2\ mL}\approx7.89\ g/mL$

Step4: Calculate density of Sample C

$
ho_C=\frac{67.2\ g}{9.8\ mL}\approx6.86\ g/mL$

Step5: Rank the densities

Since $7.89>6.86 > 4.90$, the ranking from most - dense to least - dense is Sample B, Sample C, Sample A.

Answer:

Most Dense: Sample B
2: Sample C
Least Dense: Sample A