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=5.035 kg
"Mass of empty drum filled with benzene=8.418 kg"Mass of empty drum filled with benzene=8.418 kg
"Mass of benzene"Mass of benzene=="8.418 kg"-"5.035 kg"="3.383 kg"8.418 kg−5.035 kg=3.383 kg
Convert mass of benzene to grams.
"1 kg= 1000g"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
