Respuesta :
Answer
The density of the oil in kilograms per liter is 0.78775
Explanation
Note: 1 gallon = 3.78541 liters
1 pound = 0.453592 kilogram
Given:
The gallons (volume) of crude oil = 3.24 x 10⁷ gallons
The mass of the crude oil = 2.13 x 10⁸ pounds
Conversion:
The volume in liters of 3.24 x 10⁷ gallons of crude oil will be
[tex]\begin{gathered} =3.78541\times3.24\times10^7 \\ =1.22647\times10^8\text{ liters} \end{gathered}[/tex]Also, the mass in kilograms of 2.13 x 10⁸ pounds of crude oil will be
[tex]\begin{gathered} =0.453592\times2.13\times10^8 \\ =9.6615\times10^7\text{ kilograms} \end{gathered}[/tex]Now, we shall use the formula below to calculate the density
[tex]\begin{gathered} \text{Density = }\frac{Mass\text{ in kilograms}}{\text{Volume in liter}} \\ \text{Mass in kilograms = 9.6615 }\times10^7 \\ Volume\text{ in liters =}1.22647\times10^8 \\ \therefore Density\text{ in kilograms per liter = }\frac{\text{9.6615 }\times10^7}{1.22647\times10^8}=0.78775^{} \end{gathered}[/tex]