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For a certain commercial jet to be able to achieve liftoff, its total weight cannot exceed 333,390 kg. If the empty weight (i.e., no fuel or passengers) of the jet is 163,293 kg and there are 300 passengers aboard with an average weight of 75.0 kg, determine how many liters of jet fuel the jet can hold and still be able to takeoff from sea level with an outside temperature of 277 K. The specific gravity of jet fuel is 0.804.

1 Answer

5 votes

Answer:

48,496.71 gallons

Step-by-step explanation:

Total weight of 300 passengers.

300 * 75 = 22,500kg

Fuel weight with 300 passengers.

333390 - (163293 + 22500)

333390 - 185793

147,597kg

Find the density of the specific gravity.

1000 * 0.804 = 804kg/m^3

Find the volume of the fuel.

147597/804 ≈ 183.58m^3

Convert to gallons (Multiply by 264).

183.58 * 264 ≈ 48,496.71 gallons

Best of Luck!

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