Density is the ratio of mass to the volume. The formula of density is:
[tex]density = \frac{mass}{volume}[/tex] -(1)
Density of carbon tetrachloride = [tex]1.59 g/ml[/tex] (given)
Mass of carbon tetrachloride = [tex]4.21 kg[/tex] (given)
Since, [tex]1 kg = 1000 g[/tex]
So, [tex]4.21 kg = 4210 g[/tex]
Substituting the values in formula (1):
[tex]1.59 g/mL = \frac{4210 g}{volume}[/tex]
[tex]volume = \frac{4210 g}{1.59 g/mL}[/tex]
[tex]volume = 2647.799 mL[/tex]
Since, [tex]1 mL = 0.001 L[/tex]
So, [tex]2647.799 mL = 2.65 L[/tex]
Hence, the volume of carbon tetrachloride is [tex]2.65 L[/tex].