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% %!

*