Read the article (Gimli Glider) in the Details section of the assignment. When you do this problem, make sure to use the units that are given. However, the pilots didn't realize they were using the wrong density because they probably only put the value without the units From the article, it says they measured 7682 L of fuel remaining in the aircraft fuel tanks. a. Using the incorrect density of 1.77 lb./L, how many lb of fuel did they think they had remaining in the tanks? (They didn't realize the mass unit was lb. and misinterpreted it to be kg) lb (they thought it was kg) (Input number only with three significant figures. Do not use scientific notation) b. The aircraft needed a total of 22,300 kg of fuel to make the required distance. How many kg of fuel did they think they needed to add? Subtract your answer in a. from 22,300 kg. kg (Input your answer with two significant digits, with uncertainty in the hundreds place using the rules of subtraction). c. Using your answer from b., how many L of fuel did they calculate they needed to add, using the density of 1.77 lb./L L-kg/lb (Notice how the units don't cancel.... that should have been a red flag that they were not doing the conversion correctly.) They should have added 20,100 L of fuel, instead of the amount you calculated in c. Is it any wonder they ran out of fuel? The neglected to add over 15000 L more fuel to the tanks!
The flight plan showed that 22,300 kilograms of fuel were required for the flight from Montreal to Ottawa to Edmonton. A dripstick check found that 7,682 liters of fuel were already in the tanks. Density must be used because the pilots need to know the mass of the fuel, but the fuel is measured in liters as it is put on the plane.
To calculate how much fuel the airplane required, they needed to do several steps to determine the number of liters of fuel needed. First, they needed to convert the 7682 liters of fuel already in the tanks to the equivalent mass in kilograms. Then, they would subtract that amount from the 22,300 kg total fuel that would be needed. Lastly, they needed to convert how much fuel was needed back into its equivalent volume in liters. The density of 1.77 lb./L was used in error when they did the calculations. They should have used the metric unit of 0.803 kg/L for both calculations that used density.
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