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Q. 3

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Physics for Scientists and Engineers: A Strategic Approach with Modern Physics
Found in: Page 594

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Short Answer

A heat engine extracts of heat from the hot reservoir each cycle and exhausts of heat. What are (a) the thermal efficiency and (b) the work done per cycle?

(a) The thermal efficiency is 27 %

(b) The work done per cycle is .

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Step by Step Solution

Step : 1 Introduction (part a)

(a) The ratio of work done per cycle to amount of heat retrieved from the warm reservoir is the efficiency of the engine. The difference between the extracted heat and the work done per cycle equals the work done per cycle. and exhausted heat so we have

work done W per cycle is the difference of heat extracted and heat dumped into cold reservoir .

Substitute 15 kJ for W and 55 kJ for in the equation of efficiency above.

Step :2 Explanation (part b)

(b) The work done per cycle, as explained is difference of heat extracted and heat dumped into cold reservoir.

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