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Solved: A certain heat engine operating on a Carnot cycle
Chapter 20, Problem 37P(choose chapter or problem)
Problem 37P
A certain heat engine operating on a Carnot cycle absorbs 150 J of heat per cycle at its hot reservoir al 135°C and has a thermal efficiency or 22.0%. (a) How much work does this engine do per cycle? (b) How much heat does the engine waste each cycle? (c) What is the temperature of the cold reservoir? (d) By how much does the engine change the entropy of the world each cycle? (e) What mass of water could this engine pump per cycle from a well 35.0 m deep?
Questions & Answers
QUESTION:
Problem 37P
A certain heat engine operating on a Carnot cycle absorbs 150 J of heat per cycle at its hot reservoir al 135°C and has a thermal efficiency or 22.0%. (a) How much work does this engine do per cycle? (b) How much heat does the engine waste each cycle? (c) What is the temperature of the cold reservoir? (d) By how much does the engine change the entropy of the world each cycle? (e) What mass of water could this engine pump per cycle from a well 35.0 m deep?
ANSWER:Solution 37P
To solve this question, we shall have to use the following equations.
The efficiency of a heat engine …..(1), where W is the work done and is the heat absorbed by a heat engine.
The efficiency of a Carnot engine is given by, …..(2), here is the temperature of cold reservoir and is the temperature of hot reservoir.
Now, given that
(a) From equation (1),