GATE ME 2015 Set 3 — Question 63
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Thermodynamics → Laws & Properties → Availability, Exergy & Irreversibility
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Question
One side of a wall is maintained at and the other at . The rate of heat transfer through the wall is and the surrounding temperature is . Assuming no generation of heat within the wall, the irreversibility (in ) due to heat transfer through the wall is ________.
Correct answer
247 to 249
Solution
Irreversibility () is calculated using the Gouy-Stodola theorem:where is the surrounding temperature and is the entropy generation rate.
Given:
(Source temperature)
(Sink temperature)
(Heat transfer rate)
For steady-state heat transfer through a wall with no internal heat generation, the entropy generation rate is:Now, calculate the irreversibility:The value falls within the range 247 to 249.
Given:
(Source temperature)
(Sink temperature)
(Heat transfer rate)
For steady-state heat transfer through a wall with no internal heat generation, the entropy generation rate is:Now, calculate the irreversibility:The value falls within the range 247 to 249.
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