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

0.8206g/mL, determine the mass in kilograms and pounds of the fuel in a full tank.
22.3gal:______kg
a) 84.91kg
b) 82.96kg
c) 86.25kg
d) 88.40kg

Answer 1

The mass of the fuel in a full tank is 68.957 kg and 152.003 pounds.

Step-by-step explanation:

To determine the mass of the fuel in a full tank, we need to calculate the volume of the fuel in liters and then convert it to kilograms and pounds. First, we convert the volume of the tank from gallons to liters using the conversion factor: 1 gallon = 3.78541 liters. So, the volume of the tank is 22.3 gallons x 3.78541 liters/gallon = 84.009 liters.

Next, we calculate the mass of the fuel in kilograms by multiplying the volume of the fuel in liters by the density of gasoline. The mass is given by: mass (kg) = volume (liters) x density (g/mL) x conversion factor (kg/g) = 84.009 liters x 0.8206 g/mL x 0.001 kg/g = 68.957 kg.

Finally, to convert the mass from kilograms to pounds, we use the conversion factor: 1 kg = 2.20462 pounds. So, the mass in pounds is: 68.957 kg x 2.20462 pounds/kg = 152.003 pounds.