# Answer to Question #34793 in Mechanics | Relativity for Elizabeth

Question #34793

An airplane travels at 450 km/he. it can fly 20.0 miles on one gallon of fuel. the density of the fuel is 0.782g/mL. How many pounds of fuel will this plane need to travel from Chicago to Miami, a distance of 1400 miles?

Expert's answer

1 pound = 0.453 kg

1 gallon = 3.785 L

0.782 g/mL = 0.782 kg/L

So an airplane for 20.0 miles uses 1 gallon = 3.785 L of fuel.

For a distance from Chicago to Miami (1400 miles) it needs: 1400/20*3.785 = 264.95 L of fuel.

According to the indicator of density, the mass will be: 264.95*0.782 = 207.2 kg

According to the previous data (1 pound = 0.453 kg) the needed mass in pounds will be: 207.2/0.453 = 457.4 pounds

1 gallon = 3.785 L

0.782 g/mL = 0.782 kg/L

So an airplane for 20.0 miles uses 1 gallon = 3.785 L of fuel.

For a distance from Chicago to Miami (1400 miles) it needs: 1400/20*3.785 = 264.95 L of fuel.

According to the indicator of density, the mass will be: 264.95*0.782 = 207.2 kg

According to the previous data (1 pound = 0.453 kg) the needed mass in pounds will be: 207.2/0.453 = 457.4 pounds

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