Question

"A freighter carrying a cargo of uranium hexafluoride sank in the English Channel in late August 1984. The cargo of uranium hexafluoride weighed 2.25 x10^8 kg and was contained in 30 drums, each having a volume of 1.62 x 10^6 L. What is the density (g/mL) of uranium hexafluoride?"

Answer 1

4.63 g/mL is the density of uranium hexafluoride.

Step-by-step explanation:

Mass of an uranium hexafluoride , m=
`2.25* 10^8 kg=2.25* 10^8* 1000 g=2.25* 10^(11) g`

1 kg = 1000 g

Volume of drum in which uranium hexafluoride was stored =
`1.62* 10^6 L=1.62* 10^9 mL`

1 L = 1000 mL

Volume of uranium hexafluoride stored in 30 drums = V

`V=30* 1.62* 10^9 mL`

Density of an uranium hexafluoride =d

`d=(m)/(V)=(2.25* 10^(11) g)/(30* 1.62* 10^9 mL)`

`d=4.63 g/mL`

4.63 g/mL is the density of uranium hexafluoride.