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Diano4ka-milaya [45]
2 years ago
3

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 f

uel in kilograms when the tank is full?
Chemistry
2 answers:
MariettaO [177]2 years ago
5 0

<u>Answer:</u> The mass of fuel when the tank was full is 45.255kg.

<u>Explanation:</u>

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\times 0.4535=45.255kg

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

kompoz [17]2 years ago
3 0
<span>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.</span>
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