# What is the weight of the ethyl alcohol that exactly fills a 200.0 mL container?

## The density of ethyl alcohol is 0.789 g/mL.

Aug 17, 2016

$158 g$

#### Explanation:

To calculate the "weight" (mass) of ethyl alcohol, we have to use this formula:

- Density will have units of $\frac{g}{m L}$ when dealing with a liquid or units of $\frac{g}{c {m}^{3}}$ when dealing with a solid.

• The mass has units of grams, $g$.

• The volume will have units of $m L$ or $c {m}^{3}$

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"

$\textcolor{g r e e n}{\text{Density}}$$\times$$\textcolor{g r e e n}{\text{Volume = Mass}}$

$\frac{0.789 g}{\cancel{\text{mL"xx200.0cancel"mL}}}$

Thus, ethyl alcohol weighs 158g.