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1. Consider a ikg mass of water operating as the working fluid in the cycle shown below.
a. Fillin the property table.
b. Sketch and label the cycle on P-v diagram and a T-s Diagram.
c. Calculate the cycle efficiency.
d. Isthisa Carnot cycle? Give 2 quantifiable reasons.
e. Calculate the entropy production o of the cycle as a whole.
f. Does the cycle satisfy the Clausius Inequality?
' +
1 pee enn :
1 Saturated '
Vo vapor 1
1 0.7 MPa 4
O iP
'
t
1
|
Boiler 90% quality \ Ve ‘ z
5 oO 3 2okPa Gmeeenenernh 1@s eee +
Saturated | \ : [ : \
1 i liquid Condenser _. ne
: +f ov mre a | - \ bor 4 3
: 110% quality 1 Lo : Le ann
(ooo eee ee eee i ; yo s
P (kPa) T (°C) h {ki/kg) s (kJ/kgk) x
4 700 tse 16S ©9722 992% ° |e
2 Foo oe 27ers = TBO oes
3 . a \
; ZO the GOOG, 2373.87 WPL q \ calcolated
20 L $8723 SH
sue wt * Jie?
Gitte w TSat tos Bley Give
Q at 2okK R&R hz het x hg- he\=2sl4 + x(26c9.7-231-4)
THK S = s+ L(Sq~Se) = .8320 +x (7 BES = E52)
yenq he 2373-67 B, So 7.2" Use
veel We 487-23 s< 34 eye
©} wWordfen Cheha) tha hi) (2%62-5~ 231387) + (487.23-69 7. iz)
Qaim hz-hy (27@3.S- 297.22)
2 BiCB2R ~ 387-63— 299-99. OBEF
2OOE. &
Fe - bo
(1) ;: _ = _ le - _ (F31GOOT)_
@ Mo Mreret = | Ty! (ties) |<
Nee VN ocnst
— Zprocesses 2-3 avd 14 ofe nto
{Sentepic. sh nct adiaboic
© §Q ame = COCERS _ hg ~he
so (@SrZ7Z_ Gear 272
7 4.07s -34ESS-
Ky
==. = .48 Kyk
© yes Oo 7
392
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fone
Name:
3. Consider the regenerative cycle using steam as the working fluid as shown below. Steam leaves
the boiler and enters the turbine at 4MPa, 400°C. After expansion to 400kPa some of the steam
is extracted from the turbine for the purpose of heating the feedwater in an open feedwater
heater. The pressure in the open feedwater heater is 400kPa and the water leaving it is
saturated liquid at 400kPa. The steam not extracted expands to 10kPa.
a. Compiete the property table below.
Sketch and labei the T-s Diagram for this cycle.
Determine the cycle efficiency.
If pump 2 is damaged and now has an isentropic efficiency of 0.8, how much additional
work is needed in the pump, in kI/kg over the isentropic case?
2
ao
—
}
‘Steam
_generatoe|
P (kPa) T (°C) / h (kJ/kg) s (kJ/kgK) x
1 4 fo 400 3213.6 6.7690 000 nee
2 2685.6 .9752
FOO 4 [43G
3 2193.P sens?
1O +I 4d:St 193.
‘ 10 4581 14 83M .b4q3* S
5 GOO 1GZ.22BD 4} —
6 400 143-6 604.74 1.7766 Ss
7s 4000 ~ 608.6 { —
nen
(damaged 4OO 3
pump) A
Bien \sect
5) .
Oo os ese © has het A( hy he)
* Se +x(S9-Se) = 141834 181 SOCK. 7- I-83)
6-169 = 6443 + 46.1502 -,6493) = 2143.4 fe
- S
A BIS gD ‘ea
' y —
On hs & hg+ O4(Ps-Py )
= IGL@% + Ccloloz(doc~lo WW.) .
» M222 ky OO
@ OF CV
hry + (-y)As =hg
ye herbs . of: T#- 142-22
h2-he 2608S ~1 92: 2Z
minchert y = (6D
Win
a ny = 83S
TT) Oz Py ez
“y ~ i
Drei? Sette ed Mest es Hy
Qwm 7
= hirhe) +(Fgyhehs)e(tg\hy-ha)+ beh)
hy ~h 7
= 47643 . 37.53%
tos
‘(om
A) ‘Ape = he-has he- has
he-hy
a= he —(he-h7s)
> O04 ]4 —(GOA-4 74¢- 608.6) 5 COV. 56 ee,
38
Peay? =(he-hq)= = -~3.86 Hey Oe =~J, 82 Ve
| D0 Vey
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Tables in Sf Units 893
Envoy
barks + K
Sat Sat
Liquid
a
1
Press.
bat
_ Prohleunt! 3
~~ Pretleunt |
1.0259 | 7.6700 | 0.40
1.0910 | 7.5939 0.50
44653 | 7.5320 | 0.60
aigig | 7.4797 | 0.70
1.2329 | 7.4346 | 0.80
1.2695 | 7.3949 0.56
13026 |'7.359a | 1.00
1.4336 | 7.2233 | 150
xggor | zaz7e |) 2.00
16072 | 7.0527 | 2.50
16718 | 69919 | 3.00
1.7275 | 6.9405 3.50 ‘y +
17766 | 6.8959 | 4.00 = fre fle unt 3
18207 | 6.8565 | 450
18607: | 6.8212 5.00
1.9312 | 6.7600 6.00
Kron tceroiy 700 -- Oo
20462 | BORE] “B60 Pr blow tl {
2.0946°| 6.6226 | 9.00
21987 | 65863 | 0.0
23150 | 6aas8 | 15.0
2.4a7s | 63009 | 20.0
255a7 | 6.2575 | 25.0
2.6457 | 6.1869 | 30.0
2.7253 | 6.2253 | 35.0
27964:| 6o7er | 40.0
2.8610.| 6.0199 | 45.0
2202 | 5.9734 | 50.0
30267 | 5.8892 | 60.0.
pian | 5.8133 | 70.0
3.2068 | 5.7432 | 80.0
3.2858 | 5.6772 | 90.0
33596 | 5.61a1 | 100.
3.4295 | 5.5527 | 110.
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