During each hour of flight, a large jet airplane consumes 3330gallons of fuel vi

Question

During each hour of flight, a large jet airplane consumes 3330gallons of fuel via combustion. Combustion releases 1.25 ×106 joules/gallon. One gallon of fuel has a mass of 2.84kg. Calculate the energy equivalent of 3330 gallons of fuel anddetermine the ratio (in percent) of this energy equivalent to theamount of energy released by combustion in one hour offlight.

b. 6.75 ×10–9 %
c. 7.63 ×10–6 %
d. 4.89 ×10–10 %
e. 2.42 × 10–8 % During each hour of flight, a large jet airplane consumes 3330gallons of fuel via combustion. Combustion releases 1.25 ×106 joules/gallon. One gallon of fuel has a mass of 2.84kg. Calculate the energy equivalent of 3330 gallons of fuel anddetermine the ratio (in percent) of this energy equivalent to theamount of energy released by combustion in one hour offlight. 6.75 ×10–9 % 7.63 ×10–6 % 4.89 ×10–10 % 2.42 × 10–8 %

Explanation / Answer

   Energy released incombustion   Ecom   =   3330* 1.25 * 106   =   4.16 *109   J    Total mass offuel    m   =   3330gallons   =   3330 *2.84   =   9457.2   kg    Energyequivalent   E   =   m* c2   =   9457.2* (3.0 *108)2   =   8.51* 1020   J    Ratio ( in%)   =   (Ecom / E) *100%   =   (4.16 * 109 /8.51 * 1020) *100%   =   4.89 * 10-10%    i.e.option (d) is correct.    i.e.option (d) is correct.

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