How much gasoline would it take to reach 100 miles in a v6 car, compared to how

Question

How much gasoline would it take to reach 100 miles in a v6 car, compared to how long it would take to reach 100 miles in the same car using ethanol? The cars are both driving consistently 60 mph. Please show the calculations. The professor says to use moles in the calculations. How much gasoline would it take to reach 100 miles in a v6 car, compared to how long it would take to reach 100 miles in the same car using ethanol? The cars are both driving consistently 60 mph. Please show the calculations. The professor says to use moles in the calculations.

Explanation / Answer

Gross Calorific value of Gasoline =47300 Kj/Kg

Gross calorific value of ethanol= 27300 Kj/Kg

The calorific value suggests that upon comubustion, one kg of gasoline give more eenrgy output than ethanol.

Assumig mass of the car =2000 kg

Kinetic energy of the car =1/2 mV2

V= velocity= 60*1609m/ (60*60) sec=26.81 m/sec

Kinetic energy =(1/2)*2000*(26.81)2 = 719312.4 Joules =719.3124 Kj

Amount of fuel consumed

Gasoline = kinetic energy/ calorific value = 719.3124/47300=0.015 Kg

Ethanol= 719.3124/27300= 0.026 Kg

The data suggests Gasoline to be more effective than Ethanol

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