Question

The gas tank of a certain luxury automobile holds 22.3 gallons according to the owner's manual. If the density of gasoline is 0.8206 g/mL, determine the mass in kilograms and pounds of the fuel in a full tank.

Answer 1

Step-by-step explanation:

It is known that,

1 gallon = 3785.41 ml

So, 22.3 gallons =
`3785.41 ml/gallon * 22.3 gallon`

= 84414.64 ml

Also, we know that density is mass of substance divided by its volume. Therefore, calculate the mass of given gasoline as follows.

Density =
`(mass)/(volume)`

0.8206 g/ml =
`(mass)/(84414.64 ml)`

mass = 69270.65 g

As 1 g = 0.001 kg. Hence, calculates mass is converted into kg as follows.

`69270.65 g * 0.001 kg/g`

= 69.27 kg

Thus, we can conclude that mass of given gasoline is 69.27 kg.

Answer 2

The mass in kilograms is 69.263 Kg and 153 pounds

Step-by-step explanation:

For calculate mass in kilograms we need no just density too equivalence between gallon to millilitres, grams to kilograms and grams to pounds.

22.3 gallon are 84405 mL (1 gallon is 3785 mL)

With density determinate mass from volume:

0.8206 g/ml = X g/ 84405 mL X=(0.8206*84405)=69263 g=69.263 Kg

1 pound=453.6 g

X pounds = (69263/453.6)=153 pounds

I hope my answer helps you