Question

Physical Science- Please help, mate.

Answer 1

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:

$d=\frac{m}{V}$

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:

$m=\frac{y}{x}=\frac{m}{V}=d$

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)

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