Question #be37d

1 Answer
May 9, 2017

Answer:

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