Question

Question #be37d

Answer 1

The volume of benzene in the drum is `"3859 mL"`, or `"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.

`"Mass of empty drum=5.035 kg"`
`"Mass of empty drum filled with benzene=8.418 kg"`

`"Mass of benzene"` `=` `"8.418 kg"-"5.035 kg"="3.383 kg"`

Convert mass of benzene to grams.

`"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.

`"density"="mass"/"volume"`

`"volume"="mass"/"density"`

`"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