Exam 2 MECE 3336 Example2

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University of Texas, Rio Grande Valley *

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3336

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Mechanical Engineering

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Apr 3, 2024

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pdf

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MECE 3336 EXAM II EXAMPLE Name________________________ I (30 pts) For the heat engine cycles listed below complete each sketch of the cycle on a P-v diagram and label the process lines (P, v, s, or T) and end points. Point #1 marks the beginning of the compression process where the volume is at a maximum. Determine the value for each variable listed below (cold air-standard) given the following values: T1=300K, P1,100kPa, m=0.2kg, rv12=18, rp23=1.5, rc34=1.2, Cp=1.0045kJ/kg-K Cv=0.7175 kJ/kg-K, k=1.4, and R=0.287kJ/kg-K Dual Cycle T 2 = T 3 = T 4 = T 5 = = Q 12 = Q 23 = Q 34 = Q 41 = P V
II (30 pts) For the heat engine cycles listed below complete each sketch of the cycle on a P-v diagram and label the process lines (P, v, s, or T) and end points. Point #1 marks the beginning of the compression process where the volume is at a maximum. Enter the equation for each variable listed below (cold air-standard) using only the given variables listed in parentheses. Mystery Cycle (T 1 , rv12, rp23, m, cv, k) T 2 = T 3 = T 4 = = 1-2) Isobaric Compression 2-3) Isothermal Compression 3-4) Isometric Heating 4-1) Isentropic Expansion Q 12 = Q 23 = Q 34 = Q 41 = P V
III (30 pts) For the gas turbine power plant shown below sketch the cycle on a P-v diagram and label the process lines (P, v, s, or T) and end points as shown in the schematic. The efficiency of the regenerator is given as Reff. Determine the value for each variable listed below (cold air-standard) given the following values: Reff=90%, P1=100kPa, T1=T3=300K, rp1=2.8, rp2=3.9, T6=T8=1400K, and P7=546kPa. Brayton Cycle T 2 = T 3 = T 1 T 4 = T 5 = T 7 = T 8 =T 6 T 9 = T 10 = = P-V Diagram
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