Question #69959
2 Answers
The brick.
Explanation:
Density is simply a measure of how heavy a unit of volume of a given substance is.
In this regard, the density of a substance is equivalent to the mass of exactly
In your case, you must find the substance that has the greatest mass for a given volume, let's say
- a brick that has a density of
#"1.41 g/mL"# - ice, which has a density of
#"0.92 g/mL"# - liquid water, which has a density of
#"1.00 g/mL"# - wax, which has a density of
#"0.79 g/mL"#
What this tells you is that for
- the brick:
#"1.41 g"# - ice:
#"0.92 g"# - liquid water:
#"1.00 g"# - wax:
#"0.79 g"#
If equal volumes of these substances are compared, you can be certain that the substance that has the greatest mass for
In this case, the brick will "win" because it is the heaviest of the three substances when comparing equal volumes.
#V color(red)(cancel(color(black)("mL"))) * "1.41 g"/(1color(red)(cancel(color(black)("mL")))) = (1.41 * V)" g " -># the brick
#V color(red)(cancel(color(black)("mL"))) * "0.92 g"/(1color(red)(cancel(color(black)("mL")))) = (0.92 * V)" g " -># ice
#V color(red)(cancel(color(black)("mL"))) * "1.00 g"/(1color(red)(cancel(color(black)("mL")))) = (1.00 * V)" g " -># liquid water
#V color(red)(cancel(color(black)("mL"))) * "0.79 g"/(1color(red)(cancel(color(black)("mL")))) = (0.79 * V)" g " -># wax
As you can see, when
There's an even easier way to visualise it.....
Explanation:
If you say density = d, mass =m and volme=v:
so:
and we know v will be constant, so its easy to see that mass varies directly with density for a constant volume.
On that basis, the one with the largest mass will be that one with the largest density. Which is the brick.
Simple!
