Question

The density of mercury metal is 13.6 g/mL. What is the mass of 3.55 mL of the metal?

Answer 1

`color(purple)("The mercury metal has a mass of 48.3g."`

Explanation:

To calculate the mass of the object, we have to use the following formula:

- Density will have units of `g/(mL)` when dealing with a liquid or units of `g/(cm^3)` when dealing with a solid.

• The mass has units of grams, `g`.

• The volume will have units of `mL` or `cm^3`

We are given the density and volume, both of which have good units so all we have to do is rearrange the equation to solve for the mass:

`densityxxvolume=(mass)/(cancel"volume")xxcancel"volume"`

`color(coral)("Density")` `xx` `color(coral)("Volume = Mass")`

`(13.6g)/cancel"mL"xx3.55cancel"mL"`

Thus, the object has a mass of 48.3g.