Final Exam Review

# Final Exam Review - Review III Review for Final Exam Final...

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Review III Review for Final Exam

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Final Exam Comprehensive: See all lectures and previous reviews There will be 20 problems. Each problem will be worth 15 points for a course grade of 30 points Following problem distribution: Chapters 1-3: 5 problems Chapters 4,5,6: 9 problems Chapter 8 2 Chapter 9 (Otto and Diesel): 2 Chapter 10: (refrigeration and heat pump): 2 Total: 20
Isentropic Processes A process for which the entropy is constant, is called an isentropic process. On the h-s diagram and on the T-s diagram, we can draw the processes, as shown in the next figures. The state at the end of the isentropic process can be obtained by matching the initial entropy and another property such as pressure or specific volume or temperature.

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Fig06_08 Fig06_08
Fig06_09 Fig06_09

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Ideal Gas Model Let us now derive some analytical relations for an isentropic process for an ideal gas. We can write ] ) ( ) ( exp[ ) ln( ) ( ) ( ) ln( ) ( ) ( R T s T s p p p p R T s T s p p R T s T s 1 0 2 0 1 2 1 2 1 0 2 0 1 2 1 0 2 0 0 - = + = - - =
Constant Specific Heats Let us consider an isentropic process for an ideal gas when the specific heats are constants. Introducing the ideal gas relations, + = - = 1 2 1 2 1 2 1 2 0 0 v v R T T c p p R T T c v P ln ln ln ln 1 1 - = - = k R c k kR c v P ;

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Constant Specific Heats We can then derive the following relations from the above equations: Substituting the above relation by eliminating the temperature ratio from the above relation, we can write: The process is shown in the following figure ) ( / ) ( ) ( ) ( 1 2 1 1 2 1 1 2 1 2 - - = = k k k v v T T p p T T constant ; ) ( = = k k pv or v v p p 2 1 1 2
Fig06_10 Fig06_10

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Isentropic Efficiencies Isentropic efficiencies involve a comparison between the actual performance of a device and the performance that would be achieved under idealized
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## This note was uploaded on 08/12/2010 for the course ME 300 taught by Professor Staff during the Spring '08 term at University of Illinois, Urbana Champaign.

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Final Exam Review - Review III Review for Final Exam Final...

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