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 x 108 kg and was contained in 30 drums, each having a volume of 1.62 x 106 L. What is the density (g/mL) of uranium hexafluoride?

Respuesta :

Answer:

[tex]\rho = 4.63 g/mL[/tex]

Explanation:

Volume of each drum in which the Uranium Hexafluoride is contained is given as

[tex]V = 1.62 \times 10^6 L[/tex]

[tex]V = 1.62 \times 10^9 mL[/tex]

now we know that mass of the uranium is given as

[tex]m = 2.25 \times 10^8 kg[/tex]

now total volume of all 30 containers is given as

[tex]V = 30 (1.62 \times 10^9)[/tex]

[tex]V = 4.86 \times 10^{10} mL[/tex]

[tex]m = 2.25 \times 10^{11} g[/tex]

so now the density is given as

[tex]\rho = \frac{m}{V}[/tex]

[tex]\rho = \frac{2.25 \times 10^{11}}{4.86 \times 10^{10}}[/tex]

[tex]\rho = 4.63 g/mL[/tex]

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