Question

Question #a760d

Answer 1

Here's how you can do that.

Explanation:

All you have to do here is use the fact that density is defined as mass per unit of volume.

In essence, the density of a substance tells you the mass of exactly one unit of volume of said substance. This means that you can find the density of a substance by diving the mass of a given sample by the volume it occupies

`color(blue)(ul(color(black)(rho = m/V)))`

Here

• `rho` is the density of the substance
• `m` is the mass of the sample
• `V` is the volume it occupies

In order to find the mass of a sample, rearrange the above equation to isolate `m`

`rho = m/V implies m = rho * V`

Now, let's say that a substance has a density equal to `x` `"g mL"^(-1)` and that a sample of this substance occupies a volume of `y` `"mL"`.

You can say that the mass of this sample is equal to

`m = x color(white)(.)"g" color(red)(cancel(color(black)("mL"^(-1)))) * y color(red)(cancel(color(black)("mL")))`

`m = (x * y) " g"`