# Question be37d

May 9, 2017

The volume of benzene in the drum is $\text{3859 mL}$, or $\text{3.859 L}$.

#### Explanation:

In order to determine the volume, we need to calculate the mass of benzene and convert it to grams because the density is in grams/milliliter (g/mL). Then divide the mass by the density to calculate the volume of the benzene.

Calculate the mass of benzene in the drum.

$\text{Mass of empty drum=5.035 kg}$
$\text{Mass of empty drum filled with benzene=8.418 kg}$

$\text{Mass of benzene}$$=$$\text{8.418 kg"-"5.035 kg"="3.383 kg}$

Convert mass of benzene to grams.

$\text{1 kg= 1000g}$

3.383 color(red)cancel(color(black)("kg"))xx(1000 "g")/(1 color(red)cancel(color(black)("kg")))="3383 g"#

Calculate the volume of the benzene.

$\text{density"="mass"/"volume}$

$\text{volume"="mass"/"density}$

$\text{volume"=(3383color(red)cancel(color(black)("g")))/(0.8766color(red)cancel(color(black)("g"))/"mL")="3859 mL"="3.859 L}$ rounded to four significant figures