Engineering and Chemical Thermodynamics (Koretsky) Chapter 3 Summary

Chapter 3
Adiabatic Expansion/Compression

suniv  ssys  ssurr
Reversible adiabatic expansion:
q rev
final

q=0 s  s 2  s1   0 u  u2  u1  wrev
initial
T

Irreversible adiabatic expansion:
qrev
T3 T3
cp
s13  s12  s23  0    dT  0
T2
T T2
T

u  u3  u1  wirrev




Reversible adiabatic compression:

qrev
final
ssurr  0 u  u2  u1  wrev
s  s2  s1  
initial
T
0

Irreversible adiabatic compression:
u  u3  u1  wirrev  wrev
qrev
T3 T3
cp
s13  s12  s23  0    dT  0
T2
T T2
T



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, Carnot cycle:

ucycle  0 s cycle  0
qH qC
ssurr   
TH TC
P4 qH q
P
qH   RTH ln 2 qC   RTC ln  c
P1 P3 TH Tc

net work w q  qC q
  net  H  1 C
heat absorbed from hot reservoir qH qH qH

TC qH qC qH q
  1 ssurr     C
TH TH TC TH TC




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