An ideal gas turbine cycle with many stages of compression and expansion and a regenerator of 100 percent effectiveness has an overall pressure ratio of 8. Air enters every stage of compressor at 290 K, and every stage of turbine at 1500 K. The thermal efficiency of this gas-turbine cycle is
A)19%
B)45%
C)65%
D)100%
E)81%

Question

Quizplus · Accepted Answer

Solved by EES Software. Solutions can be verified by copying-and-pasting the following lines on a blank EES screen. 
k=1.4
rp=8
T1=290 "K"
T3=1500 "K"
Eff=1-T1/T3
"Some Wrong Solutions with Common Mistakes:"
W1_Eta = 100
W2_Eta = 1-1/rp^((k-1)/k) "Using incorrect relation"
W3_Eta = 1-(T1/T3)*rp^((k-1)/k) "Using wrong relation"
W4_Eta = T1/T3 "Using wrong relation"

An Ideal Gas Turbine Cycle with Many Stages of Compression