Question

The fuel tank of an automobile has a capacity of 14.8 gallons. if the density of gasoline is 42.0 lb/ft^3, what is the mass of fuel in kilograms when the tank is full?

Answer 1

Answer: The mass of fuel when the tank was full is 45.255kg.

Step-by-step explanation:

To calculate the mass of the fuel, we will use the formula given by the equation:

`\text{Density}=\frac{\text{Mass}}{\text{Volume}}`

Where,

Density = Density of the gasoline =
`42lb\ft^3`

Volume = Capacity of the fuel tank =
`14.8gallons=2.376ft^3` (Conversion factor:
`1gallon=0.1605ft^3` )

Mass = Mass of the fuel = ?

Putting values in above equation, we get:

`42lb/ft^3=\frac{\text{Mass}}{2.376ft^3}\\\\\text{mass}=99.792lbs`

Converting this quantity into kilograms, we use the conversion factor:

`1lbs=0.4535kg\\\\99.792lbs=99.792* 0.4535=45.255kg`

Hence, the mass of fuel when the tank was full is 45.255kg.

Answer 2

377 kg of fuel. (14.8 gal) x (0.133681 ft^3/1 gal) x (42 lb/1 ft^3) x (1 kg/ 2.204 lb) = 377 kg keep three significant digits because the least amount we are given is three.