When one gallon of gasoline is burned in a car engine, 1.18 108 J of internal en

Question

When one gallon of gasoline is burned in a car engine, 1.18 108 J of internal energy is released. Suppose that 1.02 108 J of this energy flows directly into the surroundings (engine block and exhaust system) in the form of heat. If 7.00 105 J of work is required to make the car go one mile, how many miles can the car travel on one gallon of gas?
miles

Explanation / Answer

Given that dU = - 1.18 x 10^8 J Q = - 1.02 x 10^8 J Therefore from first law of thermodynamics we have Q = dU - W ==> -1.02 x 10^8 J = - 1.18 x 10^8 J - W ==> W = 0.16 x 10^8 J For 7.00 x10^5 J ofwork is required to make the car go one mile. The total miles the car moved is = [0.16 x 10^8 J/7.00 x 10^5J ]mile = 22.85 miles

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