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7/17/2019 fsfsdg
http://slidepdf.com/reader/full/fsfsdg 1/2
13468-9-163P AID: 1825 | 28/11/2014
(a)
Show an ideal Stilin! "#"le with ai a$ the wo%in! &l'id onT s− dia!a a$ in i!'e
(1)*
o the !i+en Stilin! "#"le with ai a$ the wo%in! &l'id, letiT
,i
P
,iv
, andi s
e the
te.eat'e, .e$$'e, $.e"i&i" +ol'e and $.e"i&i" ento.# at
thi $tate e$.e"ti+el#*
$e ideal-!a$ $.e"i&i" heat$ o& +aio'$ "oon !a$e$ tale, to &ind the .o.etie$ o& ai
at oo te.eat'e*
S.e"i&i" heat at "on$tant .e$$'e, 1*005% %!
S.e"i&i" heat at "on$tant +ol'(e, 0*18% %!
S.e"i&i" heat atio, 1*4
a$ "on$tant, 0*28% %!
p
v
c
c
k
R
= ×
= ×
== ×
7.e$$ the ento.# "han!e d'in! the .o"e$$ 1-2 a$
122 1
H
q s s
T
− =
ee, the heat added d'in! the .o"e$$ 1-2 i$12q
, and the te.eat'e o& the heat $o'"e
i$ H
T
*
S'$tit'te
50% %!
&o12q
, and 1,800 &o H
T
to &ind
( )2 1 s s−*
2 1
50% %!
1,800
0*416% %!
s s− =
= ×
7.e$$ the ento.# "han!e d'in! the .o"e$$ 1-2 a$
2 22 1
1 1
ln lnv
T v s s c R
T v− = +
(1)
ee, the $.e"i&i" heat o& ai at "on$tant +ol'e i$v
c
, and the !a$ "on$tant o& ai i$ R
*
o the i$otheal .o"e$$ 1-2, te.eat'e eain$ "on$tant, hen"e2T
and1
T
ae e'al*
;eaan!e 'ation (1), and $'$tit'te
0*416% %! ×&o
( )2 1 s s−
,
0*28% %! × &o
vc
, and 0 &o
2
1
lnT
T
to &ind
2
1
v
v
*
( ) 2
1
2
1
1*45192
1
0*416% %! 0 0*28% %! ln
1*4519 ln
4*21
v
vv
v
ve
v
× = + × ÷
=
=
=
7.e$$ the ideal !a$ elation &o $tate$ 1 and 3*
3 3 1 1
3 1
P v Pv
T T =
(2)
;eaan!e 'ation (2), and $'$tit'te2
v
&o3
v
, 200 %Pa &o3
P
, 4*21 &o
2
1
v
v
, 1,800
&o1
T
, and 400 &o3
T
to &ind1
P
*
7/17/2019 fsfsdg
http://slidepdf.com/reader/full/fsfsdg 2/2
( ) ( )
3 11 3
1 3
2 13
1 3
1,800 200 %Pa 4*21400
3,844%Pa
v T P P
v T
v T P
v T
=
=
= ÷
=
en"e, the a7i' .e$$'e in an ideal Stilin! "#"le with ai a$ the wo%in! &l'id i$
3,844 %Pa
*
()
<al"'late the net wo% o't.'t &o an ideal Stilin! "#"le
( )netw
*
net th in
in1 L
H
w q
T q
T
η =
= − ÷
ee, the theal e&&i"ien"# o& the "#"le i$th
η
, heat added d'in! the "#"le i$in
q
,
te.eat'e o& the heat $o'"e i$ H
T
, and the te.eat'e o& the $in% i$ LT
*
S'$tit'te 400 &o L
T
, 1,800 &o H
T
, and
50% %!
&oin
q
to &indnet
w
*
( )net
400 1 50% %!
1,800
583% %!
w = − ÷
=
en"e, the net wo% o't.'t &o an ideal Stilin! "#"le i$
583% %!
*