a) Mercury (Hg) is the most dense
b) Titanium (Ti) is the least dense
c) We can tell it by comparing the slope of the lines
Explanation:
The density of an object is defined as:
[tex]d=\frac{m}{V}[/tex]
where
m is the mass of the sample
V is the volume of the sample
In the graph in this problem, the mass of different samples of different materials is plotted against the volume of the samples. Therefore, we have:
- the mass on the y-axis
- the volume on the x-axis
This means that the slope of each curve is equal to the ratio between the value of the y-variable and the value of the x-variable, and therefore, it is equal to the ratio between mass and volume, which is the density:
[tex]m=\frac{y}{x}=\frac{m}{V}=d[/tex]
So, we can compaare the density of the different materials by comparing the slopes of their lines. In particular:
- The line with greatest slope corresponds to the material with greatest density (Mercury)
- The line with the least slope corresponds to the material with least density (titanium)
Learn more about density:
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