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Advanced thermodynamic

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Examples of thermodynamics excercises
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- s T *14r"^^ ;ff* r @ ?tu' +*r-+ [il W /t t ,/z -= /-YoQ' l,lr r..- /,'- ,ffi ItJU F---+ a ; U,it)t-= t1 W- ; Jh'hYL=7'7rt<Yri'"(n* Ll = 1,4 7-= l3 lo-7- ) I -{ , \ D:8,2 (bqrt*)" ( ///e4'l-'*"- c'/'''1"^*) f= J hYv\ 1 lhtn= J11o'9 Y\ It p* : J, llb Y/b^ n ,7' . N rm" ^6 : - tu/r,., t ( L3ht[^c-r$ ?, L:t-L^:]**, u / L' J tt3x/rt/o/ * 8u ^- 'rY*<t / ^ L' ; ,' (3'' ) )\ o" o) A,,: lf,qr\1s->L Yt'nvt t --.:--\--.-*-;-l_{ /l( = L!.st *le-L- ) t 1f r--\.---- _-.__-_-_J I i I Wtj,a *,**t ,uw w ryd- - oJPotc- wi"*;l-'^' yi t^/,D t+a C*.f O t: O1= go' (-r, Wu,JnD*; , ('*"r" r'"t"fiz,,.^6 ) A6=.- t 4T€"5 I ti I t- tl, lto'e 4 )=
Transcript
Page 1: Advanced thermodynamic

-

sT *14r"^^ ;ff* r

@ ?tu'+*r-+

[ilW

/t t ,/z -= /-YoQ'l,lr r..- /,'-,ffiItJUF---+ a ;

U,it)t-= t1 W- ; Jh'hYL=7'7rt<Yri'"(n*Ll = 1,4 7-= l3 lo-7- ) I -{ , \

D:8,2 (bqrt*)" ( ///e4'l-'*"- c'/'''1"^*)

f= J hYv\ 1 lhtn= J11o'9 Y\

It p* : J, llb Y/b^ n ,7' .

N rm"

^6 : - tu/r,., t ( L3ht[^c-r$ ?, L:t-L^:]**, u /

L'

J tt3x/rt/o/ * 8u ^-

'rY*<t /

^ L' ; ,' (3'' ) )\ o" o)

A,,: lf,qr\1s->L Yt'nvtt --.:--\--.-*-;-l_{

/l( = L!.st *le-L- ) t

1f r--\.---- _-.__-_-_J

I

i

I

Wtj,a*,**t

,uww

ryd- - oJPotc- wi"*;l-'^'

yi

t^/,D t+a C*.f

O t: O1= go'

(-r,

Wu,JnD*;,

('*"r" r'"t"fiz,,.^6 )

A6=.- t

4T€"5

ItiIt-

tl, lto'e 4 )=

Page 2: Advanced thermodynamic

haru,s oJ Kar A T: ?ou t(.

1.sIYlr-t'' 3 ; Vg=J.3s}lD:z3

l<a,T= t3axLf,LJ 3.^ 3r\

?,tq/l o-2t 3

\r'\..Q u-&,-/</" ( ,'*lrr.,,)

LA6: l

E

@ iu,o\-- , =5 i

y =- ?*4/{"^?A.:{ 64*.g,--^ 64-i-,_;"i{"_7i:,L r r,

Jd=tytrt't^ ffir I -lJ f hy\= lx/e-1rn. (--*-

-) ' -1ir/rll /t

/LlrJt

((

Page 3: Advanced thermodynamic

A( -k? Vv -,? \(L{tT{,"\' )

.IY,

\( p t {r;r

NE - l'' -

A4r =- b'

IT,J*

l,t

(,t a(, -:

-'A(r= A

L{v

(*rba *( #d)'

r:(t

JF

bptc ^ *i,,ft.a y\tv? \/u*,t</,

t-/I f ukr*-5 f"

krlT=- aol5C lc6r

A6 5 o.(og, 7

t*rt ct-rrr-!**a S ..

\

II

)

ker.2, o lJ- ( & r9+

l* v\i e/v''-"1t^

Page 4: Advanced thermodynamic

;ri&**run l*t'ff.h **W-{, ii

fl fl fervrv,r

\l {i A( t ,Wa^ 4-L^H 6 Al,__ D.tA3-kffi.

II.lII

I

=,#@

i

i' -*---=IIt

".,. ..:1.. -*- -.-.Itt

Jj

I

I

E

=#

Page 5: Advanced thermodynamic

fu(=Born

1\4Ll-rq[rhN- a-_L(Ll'

,?€L.t

',4=

:t? t t)

-t

o-g s

,l

.i

A €-eir-= *L-L;a & = -6*p*s x-t-a- w -

[J ,'r iLtu *t**- {.3 Yl€t s )

5-s xy|lJrtr* rtJ = tq3

l (xl -/3 c-1 aI/D

-{-t lvl{k

-

4 .tq xto- u)

,\h

F'6 |

:=@;;{

xiota (^

(=)'l^4

Page 6: Advanced thermodynamic

Oe *L*r ;V d o, ,-r; F.,,r

lz

Cp w-ll

4=_effiK?= e o,?,fi';;';138*

(j, 4r-{^ -Il p-/ hr/a_r.I

1, -{.r

LA- at<LZo o

^tl

' Cu., (- .q )

7 ou - h

/-}."tlg) , I f, o* zl;" *h4To-L-t 6^a?^.-h.LC,^r^-

I

l< 3 =- Cro;, ,C rc c. dz,n

Ib,__, \ - I

-t Olto)ru^t1---- t

, C nA c'"t-) -(f ,y'- /L )-*L ,.t) # L1 c,.,_(t)

i,

[a'*L4.

ah-I

Page 7: Advanced thermodynamic

oVr,l a,**/-tt-; --.t

LU zae-\

'4L:-As )-E r-- -

'rtLI ',o-- Ur'^A .1

[(+)W]l= _ J.i.rr 7c I

h

f w--{\

-as:-

4/t _ _o 7( Ar{L- L A(b".u

: Z. J.\f '{ lu-u

+@))+c.utlL t

l<

A( - A/1 *l-a_E

A(- AA -T (-U. ooo?L)

J7

= 5.o 3 yo-

-q.3( rl.Djxl;Da /+ ...-

44?

A4

Page 8: Advanced thermodynamic

AL - all -Tt_s____5 -r/\t

= Le _A$

' t' *eYt; b

-TA5-:. 't. tz xlr-D

A 6c""n =,

,4,6:Al-/-rAs

'- f

)

Mv\ x-*= A(P'"^ >>)

{^--*o A u.--l Vy-Wl.r^r^ u.>*t4

t LL trt-t q@ t 1'-o i4>'>'t D'o

A (6ru^ a,b^r) > o-* Xrf S?,t^fo^ c)L</)

i $ A5 )u- -sL *{n..,;*\))\,,^* ;;Vf:;-1 , u,a,L*Afi,S"r )o .o-uoLo|isWr-, bue,-yt

1

A S -9 fu*,t , -> fus.*L <r. A e,uua->ttL 6- ,=- t't+ t PL

Y IY. A lJ s"l u- cL,.4 LtL.,n( ', T -;);^

(r,rh,,


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