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BUKTIKAN:
1.
u P
Cv =
V
2.
u = Cp P V P V k
3.
4.
d’qT =
C V dPT
C p
V
dV T
C p P k V C V V q
PENYELESAIAN:
1.
U U dP dV P V V P
U ( P, V ) dU
d q du p dv '
U U dP dV PdV P V V P
d ' q
d’q = C v v dT v v Cv dTv
U dP P V Page 1
[email protected] C v dT v U = dPv P V
U P
T Cv P v
=
V
U = P V
2.
C v k
(terbukti)..................................... (PERS.1)
U U dP dV P V V P
U ( P,V ) dU
d q du p dv '
U U Pd V dP dV PdV P V V P
d ' q
d’q = C p dT p u P dV P CP dTP = V P P
u V P
P
u V P
u P V P
C P dT P =
dV P
T = CP V P =
C P V Page 2
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u = V P
3.
C p V
- P (terbukti)...................................... (PERS.2)
U U U ( P,V ) dU dP dV P V V P
d q du p dv '
U U dP dV PdV P V V P
d ' q
d ' q
k C v
d ' q
k C v
dP dPT
C P
V C P
V
.............( PERS. 3)
dV PdV PdV
dV T
(terbukti)........... (PERS.4)
4. dari PERS.4 diperoleh:
d ' q k C v
k C v
dPT
dPT
C P
V
C P
V
dV T
dV T 0
Page 3
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k C v
dPT
dPT
C P
C P
V
dV T dPT
k C V
= V : dV T dPT dV T
=-
C P k VC V
C P
= V X k C dV T V (terbukti)
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