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Answer:
The amount of liters of fuel should have been added is 20093 L
Explanation:
Given that;
a mechanic used a dipstick to determine that 7682 L of fuel were left on the plane
i.e the volume of fuel left in the plane = 7682 L
Required fuel to make a trip = 22,300 kg of fuel
Also from the question; we are being told that in order for the pilot to determine the volume ; he asked for the density of the fuel and the mechanic said 1.77.
This volume of fuel was added and the plane subsequently ran out of fuel, but landed safely by gliding into Gimli Airport near Winnipeg. The error arose because the factor 1.77 was in units of pounds per liter (lbs/L).
Now; we can understand that the density of the fuel was 1.77 pound /litre.
SO , let convert 1.77 pound /litre to kg/Litre;
we all know that
1 pound = 0.4536 kg
1.77 pound/litre = x kg
If we cross multiply ; we will have:
1.77 pound/litre × 0.4536 kg = 1 pound × x kg
x kg = (1.77 pound/litre × 0.4536 kg) /1 pound
x = 0.802872 kg/litre
where ;
mass = 22,300 kg of fuel
volume = unknown ???
density = 0.802872 kg/litre
making volume the subject of the formula from above; we have:
volume = 27775.28672 litre
volume 27775 L
Let not forget that we are being told as well that the volume of fuel left in the plane = 7682 L
Now;
The amount of liters of fuel should have been added is: = 27775 L - 7682 L
The amount of liters of fuel should have been added is 20093 L
Explanation:
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