Answer: The mass of fuel when the tank was full is 45.255kg.
Explanation:
To calculate the mass of the fuel, we will use the formula given by the equation:
[tex]\text{Density}=\frac{\text{Mass}}{\text{Volume}}[/tex]
Where,
Density = Density of the gasoline = [tex]42lb\ft^3[/tex]
Volume = Capacity of the fuel tank = [tex]14.8gallons=2.376ft^3[/tex] (Conversion factor: [tex]1gallon=0.1605ft^3[/tex] )
Mass = Mass of the fuel = ?
Putting values in above equation, we get:
[tex]42lb/ft^3=\frac{\text{Mass}}{2.376ft^3}\\\\\text{mass}=99.792lbs[/tex]
Converting this quantity into kilograms, we use the conversion factor:
[tex]1lbs=0.4535kg\\\\99.792lbs=99.792\times 0.4535=45.255kg[/tex]
Hence, the mass of fuel when the tank was full is 45.255kg.
