Formule termodinamica

4
?vn-- e't :) f^V,o*p- Ve* i TV*l*# 4 E bf'L**'EW*=t llA'- f *[. =|ot-) F. /Si W i &r-r=Qr)'e*(E-q*%n('u (6-r;)'firy ?a M-" ' rl Lrn= r]4-r 'L-*' k #rt cn^= w ('ru. w # t#-j, !,a\ . fyt_l " h-,= t"++-- -#ie-rint-^N\(,-'#)= *t; {ftwfi a : & j <rUur-(w,nr,f-T) ;olt,-L= ^ V {i*'+n); J*,"= ri'nt'%^ t^^HZ E. [.::; ]'s H; * tnt' (n^r fr*-r't ; - Lt-.* p ilk-vitr3i -r\ 'fr? L +;'\ t i ^Y:*=* c"(E{)*m*'k-, fra-n 'o u= &t*. i,ss--,S.-T,= M,%g*tr Ki h+oeqg$- V = ef,, *) L* o* ; & - - T:. 11 *rh^ t, ,lr *r \t t-k, \ *._ ..q \n , I ^r&1 ' ?,- ) &t*t* n''vt ' 0..r'S*t)-o*'qrm.\t f .T L,_].=og.lt,'o$,_.=Jtdil:;" r;"$;,^[::\'*i ra I aH*"=T'fr [-".q] =31 c-* "ft*r,\ ; :" = a*,-f-$**t,'=*.,j *q&i 1.,9.*r F+ t\( =,&Vrr,&r* * Lr-f To\t,0* k = *r'-T- iN 1 AV=o\.* o 11 4 . r,1 entrr o^ Y'" f-.S" L*-. asr-.*5**51 = F' * rh(o.hkft f V ,* S*ftr "f&-:f 1 Q-r*t,1o, 1r"=it*^n,=fV*f u*- t tt Tv"-\=ct =)T*"lno*'=T*\iJ-',L=*\++- lL*\ = b; L_. L,_,= BHJL -.gi6ri,[ q_d'(, Fi= .*.? I- *r-L* *ffi" : '?hlr;ri)= WI(-, kJ_ Au,-.*,- c.ffi*,) =; - {Hh;!t}ff",:JJil'**, U'ewt rneeArvrLsu uNul c{ettl

description

formule termodinamica

Transcript of Formule termodinamica

Page 1: Formule termodinamica

?vn-- e't :) f^V,o*p- Ve* i TV*l*# 4 E bf'L**'EW*=tllA'-f

*[. =|ot-) F. /Si W i &r-r=Qr)'e*(E-q*%n('u (6-r;)'firy

?a M-" ' rlLrn= r]4-r

'L-*' k #rt cn^= w ('ru. w # t#-j,!,a\ . fyt_l

"

h-,= t"++-- -#ie-rint-^N\(,-'#)= *t; {ftwfi a

: & j <rUur-(w,nr,f-T) ;olt,-L= ^ V {i*'+n); J*,"= ri'nt'%^ t^^HZ

E. [.::; ]'s H; * tnt' (n^r fr*-r't ;- Lt-.* p ilk-vitr3i

-r\ 'fr? L +;'\ t i^Y:*=* c"(E{)*m*'k-, fra-n

'o u= &t*. i,ss--,S.-T,= M,%g*tr Ki

h+oeqg$- V = ef,, *) L* o* ; & - - T:. 11 *rh^ t, ,lr *r \t t-k,

\ *._..q \n , I ^r&1

' ?,- ) &t*t* n''vt ' 0..r'S*t)-o*'qrm.\t

f .T L,_].=og.lt,'o$,_.=Jtdil:;" r;"$;,^[::\'*ira I aH*"=T'fr [-".q] =31 c-* "ft*r,\ ;

:" =

a*,-f-$**t,'=*.,j *q&i1.,9.*r F+

t\( =,&Vrr,&r* * Lr-f To\t,0* k =*r'-T-iN 1 AV=o\.* o 11 4 . r,1 entrr o^ Y'"f-.S" L*-. asr-.*5**51 = F' * rh(o.hkft

fV

,* S*ftr "f&-:f 1 Q-r*t,1o, 1r"=it*^n,=fV*f u*-

t tt Tv"-\=ct =)T*"lno*'=T*\iJ-',L=*\++- lL*\ =b; L_. L,_,= BHJL -.gi6ri,[ q_d'(, Fi=.*.? I- *r-L* *ffi" : '?hlr;ri)= WI(-, kJ_Au,-.*,- c.ffi*,) =; - {Hh;!t}ff",:JJil'**,U'ewt rneeArvrLsu uNul c{ettl

Page 2: Formule termodinamica

,3_3/ t3

TV'r-r = ct = Tlvi-l =TzYl-t iPolitropa de exponent n pV" = ct:+ plVi =pzYl i

Qr_z =m'c,,.(T, -Tl)=nvr.Cun.(T, -Tl) tJ]

n-k n-k R-

l-" n-l n-l k-ln-k ^ n-k Ry

Mn = ---:- . (- Mv = ---;' ;---;n-l n-l K-l

-{,['lItg.r I

t___r__lftcnot.r_]

L,-z =uff&=#,t, -rr) =*o[t +) =* = n.Lr-z [J] l

AUt-2 -m.c"'(Tz -Tr) = rM .CMu .(Tz -Tr ); AHr-z = m'co '(Tz -Tr ) = nu 'Cr',rp '(Tz -Tr )

Qr-z _ k-tLrz k-l

ASr-z =Sz -Sr =trl'cu'h*=trM'CMn '1"?,TlT1

lzobarap =ct.:+ I

=ct; l+=3 tTVrTrQr-z = m'co'(Tz -I) = nu'Crurp'(rz -I) ; Lt.z = p(Yz - Y) tJl; L,t-z = 0

I

E

trlAUr-z = m'cn'(Tr -Tr) = nvr'Cuu'(Tz -Tr r-r =Itr'C.'(lr - = IIM 'UMp l":Tr) = Qr-z

fzocora V=ct.-l= "11

lZ-T' ;TprTlQr-z =m'cu'(T, -Tl) =nv'Cuu'(Tz -Tr) ) Lyz =0 [J]i L'-z =-Y(pz-pr) [J]

- -fl--rlASr-2 =Sz -Sr =m'cp.62 =ny .Cyo.lnll

Li

6ffije*"'(T,-Tr)=Qr-ziAH1-2=m.co.(Tz-Tr)=nv.Cvp.(Tz-Tr)

ASr-z -Sz -Sr =rll'cv '1n'Z-ny'Cyu'hJi

Izoterma T=ct.-pV=ct; prVr =pzYz

er_z = Lr-z =Ltr_z=p,V,lnq = mRT.h+tJl;% AU=AH =0Pz v

Adiabata 5Q = 0; Qr-z = 0

pVk =ct+ p,V,k =pzYti TVk-r - ct + T,Vrk-r =TzVI-r;

L't-2 = -Tr) =

t*

k-lT, (p") L

=Ct=) - -l -- |Tr [pr J

t_tI/ \-l

-[!.1- ltr], L,t_z--k.L1_2 [J];1Rr / l

P,V, [,u-'L'

prV-pzvz_dr..kl 1q-1t'2

TKJ

^k

AUr-z=m.cu.(T2-!)=nu.Cvru.(Tr-Tr)=-Lr-zt MrZ1gjr:(Tz:!)=nl,a.Cue.(%-TJ=-L,r=z **

ASr-z=Sr-S,=9 l*ltKl1t-**--#4*'

-ucrulmecanicalunuiciclu: L=IQ.,- tJl Cop,noro.=--l:-;,COp,p=4?., COPpc=If I

)'e. lI.l ll-lZ-J -

Qr-z -- ,-v2 |J

-RT, f, Tr')l__ l=k-l I Tr)

Page 3: Formule termodinamica

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Page 4: Formule termodinamica

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