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Sears and Zemansky's University Physics with Modern Physics | 13th Edition | ISBN: 9780321696861 | Authors: Hugh D. Young; Roger A. Freedman; A. Lewis Ford
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Solved: A Gasoline Engine. A gasoline engine takes in 1.61

Chapter 20, Problem 3E

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QUESTION:

Problem 3E

A Gasoline Engine. A gasoline engine takes in 1.61 X 104 J of heat and delivers 3700 J of work per cycle. The heat is obtained by burning gasoline with a heat of combustion of 4.60 X 104 J/g. (a) What is the thermal efficiency? (b) How much heat is discarded in each cycle? (c) What mass of fuel is burned in each cycle? (d) If the engine goes through 60.0 cycles per second, what is its power output in kilowatts? In horsepower?

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QUESTION:

Problem 3E

A Gasoline Engine. A gasoline engine takes in 1.61 X 104 J of heat and delivers 3700 J of work per cycle. The heat is obtained by burning gasoline with a heat of combustion of 4.60 X 104 J/g. (a) What is the thermal efficiency? (b) How much heat is discarded in each cycle? (c) What mass of fuel is burned in each cycle? (d) If the engine goes through 60.0 cycles per second, what is its power output in kilowatts? In horsepower?

ANSWER:

Solution 3E

Step 1:

Data given

Heat delivered

Work done

Heat obtained

We need to find thermal efficiency , this is obtained as

        

Substituting the values we get

        

        

This can be approximated to

Thus we have obtained efficiency as

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