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Sf[Rm NNN/f)n^vQpe, ؏/fSRvQpe. ~~Rt`lSOSf[Rh_8^{S:N: m= m0+RT ln(p/p0) (3)J6- ,,,,,$0000 000&0"0   H  0޽h ? ̙33  ___PPT10 .+5RD6 ' = @B D ' = @BA?%,( < +O%,( < +D' =%(D' =%(D@' =A@BBB B0B%(D' =1:Bvisible*o3>+B#style.visibility<*%(D' =-o6Bbox(out)*<3<*D' =%(D' =%(D@' =A@BBB B0B%(D' =1:Bvisible*o3>+B#style.visibility<*6%(D' =-o6Bbox(out)*<3<*6D8' =%(D' =%(D@' =A@BBB B0B%(D' =1:Bvisible*o3>+B#style.visibility<*7J%(D' =-o6Bbox(out)*<3<*7JD@' =A@BBB B0B%(D' =1:Bvisible*o3>+B#style.visibility<*Jd%(D' =-o6Bbox(out)*<3<*Jd+8+0+ + (f(  (. ( c $`<$  0  N. mixture of ideal gases Yyt`lSOmT(WNw@b~bvSO|y:Nt`lSOmTir. vQpef[!jW:N: (1) @b giryRP[KNGWl g\O(uR; (2) @b gRP[vSOyGWSƉ:N. t`lSOmTirv'`(: (1) pV=("ni)RT=n;`RT (4) (2) pi=pxi (5) pi=pi* p:NSO|;`S;pi:NilSOvRS;xi:Nivid\Rpe.'$g$$'  $$$$$$$$ $$$$$$ 2  H ( 0޽h ? ̙33___PPT10.+y[D@' = @B D' = @BA?%,( < +O%,( < +D' =%(D' =%(DR' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*(%(D' =-6B%strips(downRight)*<3<*(D' =%(D^' =%(DR' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*(>%(D' =-6B%strips(downRight)*<3<*(>DR' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*(>R%(D' =-6B%strips(downRight)*<3<*(>RDR' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*(Rd%(D' =-6B%strips(downRight)*<3<*(RdDj ' =%(D ' =%(DR' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*(eq%(D' =-6B%strips(downRight)*<3<*(eqDR' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*(q%(D' =-6B%strips(downRight)*<3<*(qDR' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*(%(D' =-6B%strips(downRight)*<3<*(DR' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*(%(D' =-6B%strips(downRight)*<3<*(DR' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*(%(D' =-6B%strips(downRight)*<3<*(+8+0+( +; jb ,(  ,z  ,  ,$D 0 , <؇Ԕ (Z , s *   , 0   >JS 2Z , s *f  , 00N   p, T pi=pxi` 2   , 0,   pi*, TP 2   , 0X W,$D 0 zdV:NJSAQiRP[1uǏ, N]viRP[L:N NSvQ[RP[vq_T, Ee g: pi=pi* 3(2+ $$$$$$n H , 0޽h ? ̙33yq___PPT10Q+c$D' = @B D' = @BA?%,( < +O%,( < +D' =%(D' =%(D3' =4@BBB B%(D' =1:Bvisible*o3>+B#style.visibility<*,%(D' =-o6Bbox(out)*<3<*,D' =%(D' =%(DT' =A@BBB B0B%(D' =1:Bvisible*o3>+B#style.visibility<* ,%(D' =-6B'blinds(horizontal)*<3<* ,+8+0+ , + ! 0z(  0B 0 c $\s`D<$D  0  8fY N: t`lSOmTirvkN~RGW gNr`e z_: p1V1=n1RT, & piVi=niRT 5" V1=V2=& =Vi=V 4" "piVi=V "pi= "niRT=pV 4" "pi =p pi/p=(niRT/V) /("niRT/V)=ni/n;`=xi 4" pi=pxi F $$$$$$$$$$$$$$$$$$ $$$$$$$$$$$ $$$$$$ $$$$$$$$$00000  H 0 0޽h ? ̙33___PPT10.+n\_DV' = @B D' = @BA?%,( < +O%,( < +D' =%(D' =%(DR' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*0%(D' =-6B%strips(downRight)*<3<*0D' =%(D' =%(DR' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*0%(D' =-6B%strips(downRight)*<3<*0D' =%(D' =%(DR' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*06%(D' =-6B%strips(downRight)*<3<*06D' =%(D' =%(DR' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*06G%(D' =-6B%strips(downRight)*<3<*06GD' =%(D' =%(DR' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*0Ga%(D' =-6B%strips(downRight)*<3<*0GaD' =%(D' =%(DR' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*0am%(D' =-6B%strips(downRight)*<3<*0amD' =%(D' =%(DR' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*0m%(D' =-6B%strips(downRight)*<3<*0mD' =%(D' =%(DR' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*0%(D' =-6B%strips(downRight)*<3<*0+8+0+0 + ~v(    S <$D  0  D(3) t`lSOmTpHe^:N V:Nt`lSOmTir-N@b gRP[KNGWl g\O(uR, (WI{)nI{SagN NmTe, V:NSO|v)n^ NS, SO|-NvRP[(WT~ NR^vr`l gSS EeSO|vQTqGW NS, @bNt`lSO(WmTel gpHe^: DmixH=0 (6)d'((g$66 66x#    H  0޽h ? ̙33  ___PPT10 .+n\_D$ ' = @B D ' = @BA?%,( < +O%,( < +D' =%(D' =%(DR' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*%(D' =-6B%strips(downRight)*<3<*D' =%(D' =%(DR' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*t%(D' =-6B%strips(downRight)*<3<*tD' =%(D' =%(DR' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*t%(D' =-6B%strips(downRight)*<3<*t+8+0+ +* x 4(  4. 4 c $t@<$  0  "t`lSOmTir i ~RvSf[R:,$$$"z  4 ,$D 0N p 4  4 <ԠԔ (Z 4 s *   4 0p  p >JS 2Z 4 s *f   4 0ܧN   p, T pi=pxi` 2   4 0\ D  pi*, TP 2   4 0Դ^ mi T 2  4 0@ NZ  mi* h 2x  4 0H,$  0 (WR`)nR`S Ns^a, ]S$Ni~RvSf[R_[vI{: 5" mi*= mi0+RT ln(pi*/p0) 4" mi= mi*= mi0+RT ln(pi*/p0) (pi= pi*=pxi) 4" mi=mi0+RT ln(p/p0)+RT lnxi (7) (7)_:Nt`lSOmTir-NNa~RivSf[Rh_. mi0/fh`Sf[R, vQh`[IN:N: ~ilSO,)n^:NT,SR:Np0. 2            z     H 4 0޽h ? ̙33G?___PPT10.++aD' = @B DB' = @BA?%,( < +O%,( < +D' =%(D' =%(DR' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*4%(D' =-6B%strips(downRight)*<3<*4D' =%(D' =%(D3' =4@BB BB%(D' =1:Bvisible*o3>+B#style.visibility<*4%(D' =-o6Bdissolve*<3<*4D' =%(D' =%(DR' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<* 4%(D' =-6B%strips(downRight)*<3<* 4D' =%(D' =%(DR' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<* 46%(D' =-6B%strips(downRight)*<3<* 46D' =%(D' =%(DR' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<* 46d%(D' =-6B%strips(downRight)*<3<* 46dD\' =%(D' =%(DR' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<* 4d%(D' =-6B%strips(downRight)*<3<* 4dDR' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<* 4%(D' =-6B%strips(downRight)*<3<* 4D' =%(D' =%(DR' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<* 4%(D' =-6B%strips(downRight)*<3<* 4+p+0+4 ++0+ 4 +   0(8(  8 8 c $iWwc<$  0    8 s *pkk<$  0  >nN. US~R[ElSOvSf[RT8^: [N~v[ElSO(real gas), g: (m/p)T=(Gm/p)T=Vm (WR`)nR`S N,[ N_yRS_: m=m0(T)++"Vmdp (8) t N,SwS[ElSOvp-V-TsQ|,sSr`e z_,sSS1u N_BlQNar` N[ElSOvSf[Rm. FO[ElSOvr`e z____ YBg, BlyRvS_V.r%$$$$ $P:    H 8 0޽h ? ̙33w___PPT10W.+zɏD' = @B Dz' = @BA?%,( < +O%,( < +D{' =%(D#' =%(D' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*8%(D' =+4 8?dCB1+#ppt_w/2BCB#ppt_xB*Y3>B ppt_x<*8D' =+4 8?\CB#ppt_yBCB#ppt_yB*Y3>B ppt_y<*8D' =%(D' =%(DR' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*8%(D' =-6B%strips(downRight)*<3<*8D\' =%(D' =%(DR' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*8)%(D' =-6B%strips(downRight)*<3<*8)DR' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*8)A%(D' =-6B%strips(downRight)*<3<*8)AD\' =%(D' =%(DR' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*8AQ%(D' =-6B%strips(downRight)*<3<*8AQDR' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*8Qh%(D' =-6B%strips(downRight)*<3<*8QhD\' =%(D' =%(DR' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*8h%(D' =-6B%strips(downRight)*<3<*8hDR' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*8%(D' =-6B%strips(downRight)*<3<*8+p+0+8 ++0+8 +B p\(  p$ p c $TG`<$  0  :NeO0Wh[ElSOvSf[R,LewiscQN8^vi_, O[ElSOSf[RNt`lSOSf[Rvh_wQ gvяvpef[hb__: m= m0+RT ln(f/p0) (9) f=gp (10) f: lSOv8^(fugacity); g: 8^|pe(fugacity coefficiant); m0: [ElSOvh`Sf[R. [ElSOvhQr`[IN:N: ~lSO, )n^:NT, SR:N100,000Pa, vQL:NN gNt`lSOr`e zvZb`.j%'$$ $$$</ #      H p 0޽h ? ̙33___PPT10.+Q[D' = @B DQ' = @BA?%,( < +O%,( < +D' =%(D' =%(DR' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*p?%(D' =-6B%strips(downRight)*<3<*p?D\' =%(D' =%(DR' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*p?Y%(D' =-6B%strips(downRight)*<3<*p?YDR' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*pYj%(D' =-6B%strips(downRight)*<3<*pYjD' =%(D^' =%(DR' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*pj%(D' =-6B%strips(downRight)*<3<*pjDR' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*p%(D' =-6B%strips(downRight)*<3<*pDR' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*p%(D' =-6B%strips(downRight)*<3<*pD\' =%(D' =%(DR' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*p%(D' =-6B%strips(downRight)*<3<*pDR' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*p%(D' =-6B%strips(downRight)*<3<*p+8+0+p +Q  9E1E< D(  < < s *<x$<$  0   B < s *`z,$  0 L[ElSO g N_bz: limf/p=limg=1 (pN0) S_[ElSOSR:N1p0e, vQr`:NBp,f N:N1. [ElSOvhQ`:NAp,/fGPS_[ElSOSR:N 1hQSRe,vQL:NN gNt`lSOe z8^|peNI{N1vZb`. [ElSOv8^I{N1e, vQSR N:N1,dkr`1upRh:y,[N N Tv[ElSO,RpvMO_N N T.` 2  z %" @l   < ,$D  09@   < rB < BDԔ d4 < # Bt C DELF$3Ԕ < xl 4  >  "8  l  h  . t @       dL4Z6T p  <#  z4N  < p N t < t8XN t| < t|N tP < tP`B < 0Dt`B < 0DP`B < 0DDtDN tP < Dt|`B < 0Dt`B < 0DP`B  < 0DDtDN t| !< pt N tP "< tP`B #< 0Dt`B $< 0DP`B %< 0DDtDN tP &< Dt|`B '< 0Dt`B (< 0DP`B )< 0DDtDN t| *<  t, N tP +< tP`B ,< 0Dt`B -< 0DP`B .< 0DDtDN tP /< Dt|`B 0< 0Dt`B 1< 0DP`B 2< 0DDtDN t| 3<  tN tP 4< tP`B 5< 0Dt`B 6< 0DP`B 7< 0DDtDN tP 8< Dt|`B 9< 0Dt`B :< 0DP`B ;< 0DDtDN t| << xtN tP =< tP`B >< 0Dt`B ?< 0DP`B @< 0DDtDN tP A< Dt|`B B< 0Dt`B C< 0DP`B D< 0DDtDT t| E<# 3tN tP F< tP`B G< 0Dt`B H< 0DP`B I< 0DDtDN tP J< Dt|`B K< 0Dt`B L< 0DP`B M< 0DDtDT t| N<# 3t\N tP O< tP`B P< 0Dt`B Q< 0DP`B R< 0DDtDN tP S< Dt|`B T< 0Dt`B U< 0DP`B V< 0DDtDT t| W<# 3tP N tP X< tP`B Y< 0Dt`B Z< 0DP`B [< 0DDtDN tP \< Dt|`B ]< 0Dt`B ^< 0DP`B _< 0DDtDT t| `<# 3t  N tP a< tP`B b< 0Dt`B c< 0DP`B d< 0DDtDN tP e< Dt|`B f< 0Dt`B g< 0DP`B h< 0DDtDT t| i<# 3t dN tP j< tP`B k< 0Dt`B l< 0DP`B m< 0DDtDN tP n< Dt|`B o< 0Dt`B p< 0DP`B q< 0DDtD`B r< 0D,,(`B s<B 0Dt,`B t< 0Dtt u< s *̽ @ E0 2  v< s *4 @  E6 2  w< s * @  E5 2  x< s *h@  E4 2  y< s *@ E3 2  z< s *x@\ E2 2  {< s *L@0 E1 2  |< s *@ F10 2  }< s *`M@ E9 2  ~< s *cM @p E8 2  < s *gMT @8  E7 2  < s *kMH   E4 2  < s *oMt H  E3 2  < s *8sM h  E2 2  < s *vM E7 2  < s *zM   E1 2  < s *$~M` E8 2  < s *ȁMl@ E9 2  < s *lM@ F10 2  < s *M  E0 2  < s *M E6 2  < s *XM E5 2  < s *`M xdr Tt`lSO 2 < s *M   T[ElSO 2 < 6DM   Kf 2  < 6M` Kp 2 GT ` ` <#  T D 0fB < 6D` 8 8 uN  p ` <  p `lB < <Dh h @N  x p T <  p `N P  p  < P  p |N P   < P  Z2  < s *P  O Z2  < s * O Z2  < s *P h    < s *\Mh 8 p  ER 2 N  x 4 T <  x 4 T < s *HM x D L  EA 2  < s *M 4 T EB 2 B < s *̙޽h ? ̙33X P ___PPT100 .+.D ' = @B DS ' = @BA?%,( < +O%,( < +D' =%(D+' =%(D' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*<%(D' =+4 8?dCB2/3*#ppt_wBCB#ppt_wB*Y3>B ppt_w<*<D' =+4 8?dCB2/3*#ppt_hBCB#ppt_hB*Y3>B ppt_h<*<D' =%(D' =%(DR' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*<%(D' =-6B%strips(downRight)*<3<*<D' =%(D' =%(DE' =4@BBBB%(D' =1:Bvisible*o3>+B#style.visibility<*<%(D' =-6B%strips(downRight)*<3<*<+p+0+<M ++0+<M +.  !!<D   M (  tl 85 85,$D  0@ CB 5@  CB  s * G3 2   6Lh ~bt G2 2   6L@y ~ b  G1 2 fB  6ZDo 34m fB  6ZDo 3q wq fB  6ZDo 4; x; fB  6ZDo 4; x; fB  6ZDo 4xfB  6ZDo 4xfB  6ZDo 4xfB  6ZDo 4xfB  6ZDo 4xfB  6ZDo 4xfB  6ZDo 4_x_lB  <DԔ 9`  # Bt C DELF$3Ԕ < xl 4  >  "8  l  h  . t @       ]`  s *\ 9 Zt`lSO 2$  s *Dw  Z[ElSO 2$  01p5 0 Kp 2   09]82 Kf 2 l g I  gI,$D 0rB  BDo g d xB  HDo  I  s *=   BhQSR N[ElSOvr` , 2`2  0f3f3o  l g+ ?  + g? ,$D 0lB  <Dog    s *x+   KA 2 `2  0f3f3oq ? l ) s  ) s ,$D  0@ `  )   6 ` z&[ElSOvhQ`Zb`,p=1,f=1(2 `B  0DԔf2  6o) Y(  c BTC1DE@F AAoP=.[ y..kIn!lT1 @     "`-s H  0޽h ? ̙33$  ___PPT10 .> M+xD ' = @B D ' = @BA?%,( < +O%,( < +D' =%(D' =%(DE' =4@BBBB%(D' =1:Bvisible*o3>+B#style.visibility<*%(D' =-6B%strips(downRight)*<3<*D' =%(D' =%(D9' =4@BBBB%(D' =1:Bvisible*o3>+B#style.visibility<*%(D' =-u6Bdiamond(in)*<3<*D' =%(D' =%(D;' =4@BBB B%(D' =1:Bvisible*o3>+B#style.visibility<*%(D' =-w6Bdiamond(out)*<3<*D' =%(D' =%(D1' =4@BBBB%(D' =1:Bvisible*o3>+B#style.visibility<*%(D' =-m6Bbox(in)*<3<*+* @D(  @  @ c $hX(<$  0  tN. lSOmTirv8^: [NmTlSO-Nv~R, S{|+B#style.visibility<*@ %(D' =-6B%strips(downRight)*<3<*@ D\' =%(D' =%(DR' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*@ %%(D' =-6B%strips(downRight)*<3<*@ %DR' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*@%E%(D' =-6B%strips(downRight)*<3<*@%ED' =%(D^' =%(DR' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*@Ff%(D' =-6B%strips(downRight)*<3<*@FfDR' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*@f}%(D' =-6B%strips(downRight)*<3<*@f}DR' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*@}%(D' =-6B%strips(downRight)*<3<*@}D\' =%(D' =%(DR' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*@%(D' =-6B%strips(downRight)*<3<*@DR' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*@%(D' =-6B%strips(downRight)*<3<*@+8+0+@ + "x(  xz x S 4 PP<$  0  f N. fivBl{: lSOmTir-Ng~R8^S(uLewis-RandellĉR{: fi=fi0xi (14) _-N: xi/fi~Rvid\Rpe; fi/fi~Rv8^; fi0/f~ilSO,)n^:NT,SRI{NSO|;`Sp ev8^. N N_SN_w, 2kBllSOmTir-Ng~Rv8^, HQBl{~lSO~Rv8^. 6r$$$$$ (   H x 0޽h ? ̙33 ___PPT10.+y[D' = @B DG' = @BA?%,( < +O%,( < +D' =%(D' =%(DR' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*x %(D' =-6B%strips(downRight)*<3<*x D\' =%(D' =%(DR' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*x +%(D' =-6B%strips(downRight)*<3<*x +DR' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*x+A%(D' =-6B%strips(downRight)*<3<*x+AD ' =%(D ' =%(DR' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*xBS%(D' =-6B%strips(downRight)*<3<*xBSDR' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*xSd%(D' =-6B%strips(downRight)*<3<*xSdDR' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*xd%(D' =-6B%strips(downRight)*<3<*xdDR' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*x%(D' =-6B%strips(downRight)*<3<*x+8+0+x +&  DX(  D  D c $<$  0  xV. ~[ElSO8^vBl{: 1. pef[㉐gl: (WI{)nagN N: dGm=dm=Vmdp (15) S g: m=m0+RT ln(f/p0) S_R 4" dm=RTdlnf=Vmdp p0:N8^pe [ N_yR: +"RTdlnf=+"Vmdp ln(f/f*)=1/RT+"Vmdp =1/RT[+"d(Vmp) +"pdVm]l% '$3    $$$       H D 0޽h ? ̙33___PPT10d.+y[D' = @B D' = @BA?%,( < +O%,( < +D' =%(D' =%(DR' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*D%(D' =-6B%strips(downRight)*<3<*DD' =%(D' =%(DR' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*D%(D' =-6B%strips(downRight)*<3<*DD\' =%(D' =%(DR' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*D!%(D' =-6B%strips(downRight)*<3<*D!DR' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*D!9%(D' =-6B%strips(downRight)*<3<*D!9D' =%(D' =%(DR' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*D9P%(D' =-6B%strips(downRight)*<3<*D9PD\' =%(D' =%(DR' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*DPU%(D' =-6B%strips(downRight)*<3<*DPUDR' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*DUo%(D' =-6B%strips(downRight)*<3<*DUoD ' =%(D ' =%(DR' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*Dov%(D' =-6B%strips(downRight)*<3<*DovDR' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*Dv%(D' =-6B%strips(downRight)*<3<*DvDR' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*D%(D' =-6B%strips(downRight)*<3<*DDR' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*D%(D' =-6B%strips(downRight)*<3<*D+8+0+D +  0|(  |T | S eP<$  0  pS N NP( NPp*яN): ln(f/f*)=1/RT[(pV p*V*) +"pdVm] (16) S_p*!0e: f*!p* p*Vm*=RT \dk~gNeQ(16)_yR, S_: lnf=lnp*+1/RT[pVm RT +"pdVm] (17) (17)_:NlSO8^fv{_. w[ElSOvr`e z,OS1u N_BlQlSOv8^.n       +   H | 0޽h ? ̙33xp___PPT10P.+ TdD' = @B D' = @BA?%,( < +O%,( < +D\' =%(D' =%(DR' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*|%(D' =-6B%strips(downRight)*<3<*|DR' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*|6%(D' =-6B%strips(downRight)*<3<*|6D' =%(D^' =%(DR' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*|6?%(D' =-6B%strips(downRight)*<3<*|6?DR' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*|?I%(D' =-6B%strips(downRight)*<3<*|?IDR' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*|IU%(D' =-6B%strips(downRight)*<3<*|IUD' =%(D^' =%(DR' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*|Ui%(D' =-6B%strips(downRight)*<3<*|UiDR' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*|i%(D' =-6B%strips(downRight)*<3<*|iDR' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*|%(D' =-6B%strips(downRight)*<3<*|D' =%(D' =%(DR' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*|%(D' =-6B%strips(downRight)*<3<*|+8+0+| + @(  N H c $X&) <$  0  O:Bl_NSlSOv8^? : _NSe z:N: (p+a/Vm2)(Vm b)=RT (1) p=RT/(Vm b) a/Vm2 (2) NeQ(17)_: C '((          ^  6  S A  ??"? ~ 8  $D 0H  0޽h ? ̙33___PPT10.+.\D7' = @B D' = @BA?%,( < +O%,( < +D' =%(D' =%(DR' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*H %(D' =-6B%strips(downRight)*<3<*H D' =%(D' =%(DR' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*H%(D' =-6B%strips(downRight)*<3<*HD' =%(D' =%(DR' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*H5%(D' =-6B%strips(downRight)*<3<*H5D' =%(D' =%(DR' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*H5Q%(D' =-6B%strips(downRight)*<3<*H5QD' =%(D' =%(DR' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*HR[%(D' =-6B%strips(downRight)*<3<*HR[D' =%(D' =%(DG' =4@BBB B%(D' =1:Bvisible*o3>+B#style.visibility<*%(D' =-6B'blinds(horizontal)*<3<*+8+0+H +* @ ~(  ^  6  S A ??"?bg8 $D  0  6` Y?,$ 0 bHQBlvQ-NvyRy:  4  BP^]<,$  0 BS_p*!0e, Vm*!", a/Vm*!0, Vm* b=Vm*"          ^  6--l     ,$D 0r   S A  ??"?l      0a J  >yRy 2 H  0޽h ? ̙33  ___PPT10 .0+^0D ' = @B D ' = @BA?%,( < +O%,( < +D' =%(D' =%(DT' =A@BBB B0B%(D' =1:Bvisible*o3>+B#style.visibility<*%(D' =-6B'blinds(horizontal)*<3<*D' =%(D' =%(D1' =4@BBBB%(D' =1:Bvisible*o3>+B#style.visibility<*%(D' =-m6Bbox(in)*<3<*D' =%(D' =%(DR' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*%(D' =-6B%strips(downRight)*<3<*D' =%(D' =%(Dc' =4@BB BB%()))D' =1:Bvisible*o3>+B#style.visibility<* %(D' =-o6Bdissolve*<3<* +p+0+ ++0+ + PL6(  L L c $a``<$  0 L f \yR~gNeQ8^fvh_-N: lnf=lnp*+1/RT[pVm RT RTln((Vm b)/RT) RTlnp* a/Vm] lnf=1/RT[pVm RT RTln((Vm b)/RT) a/Vm] 5" pVm RT=(RT/(Vm b) a/Vm2)Vm RT = RTb/(Vm b) a/Vm lnf=ln(RT/(Vm b))+b/(Vm b) 2a/RTVm (3) (3)_sS:N_NSlSOv8^{_.=                H L 0޽h ? ̙33___PPT10.+ TdD<' = @B D' = @BA?%,( < +O%,( < +D\' =%(D' =%(DR' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*L%(D' =-6B%strips(downRight)*<3<*LDR' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*LD%(D' =-6B%strips(downRight)*<3<*LDD' =%(D' =%(DR' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*LEk%(D' =-6B%strips(downRight)*<3<*LEkD\' =%(D' =%(DR' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*Ll%(D' =-6B%strips(downRight)*<3<*LlDR' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*L%(D' =-6B%strips(downRight)*<3<*LD\' =%(D' =%(DR' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*L%(D' =-6B%strips(downRight)*<3<*LDR' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*L%(D' =-6B%strips(downRight)*<3<*L+8+0+L +8 `Pj(  P2 P c $XvM<$  0   2. [kr`l: [k`St (the principle of corresponding state) S_TylSOYNv Tv[kr`e(sSwQ gv Tv[k)n^,[kSR),lSOvY'`(/fvx '6&0('( ' , ' , ' , ' , ' ,,(  H P 0޽h ? ̙33  ___PPT10 .+y[D~ ' = @B D9 ' = @BA?%,( < +O%,( < +D' =%(D' =%(DR' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*P %(D' =-6B%strips(downRight)*<3<*P D\' =%(D' =%(DR' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*P %(D' =-6B%strips(downRight)*<3<*P DR' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*P9%(D' =-6B%strips(downRight)*<3<*P9D' =%(D' =%(DR' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*P9w%(D' =-6B%strips(downRight)*<3<*P9w+8+0+P + PHP(    s *f# ,$D  0  S <$  0  Rir(v4NLur`(critical state): ~ir(l,m$NvLu~Rm1Yvr`. ir(v4NLu'`(: ir((W4NLur`@bwQ gv'`( 8^v4NLu'`( g: 4NLuSRpc(critical pressure); 4NLu)n^Tc(critical temperature); 4NLuSOyVc(critical volume).ss~s'$'($ ' ( $$$$$$$$$     U 0=AH  0޽h ? ̙33um___PPT10M.,>+@"RD' = @B D' = @BA?%,( < +O%,( < +D' =%(D' =%(DR' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*%(D' =-6B%strips(downRight)*<3<*D' =%(D' =%(DR' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*,%(D' =-6B%strips(downRight)*<3<*,D' =%(DW' =%(D' =A@BBBB0B%()))D' =1:Bvisible*o3>+B#style.visibility<*,H%(D' =-6B%strips(downRight)*<3<*,HDu' =4@BBBB%()))D' =1:Bvisible*o3>+B#style.visibility<*%(D' =-6B%strips(downRight)*<3<*D ' =%(D ' =%(DR' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*HR%(D' =-6B%strips(downRight)*<3<*HRDR' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*Ro%(D' =-6B%strips(downRight)*<3<*RoDR' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*o%(D' =-6B%strips(downRight)*<3<*oDR' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*%(D' =-6B%strips(downRight)*<3<*+8+0+ +J!  T(  Tr T c $CP<$  0  ir(v[k'`(T[kr`: lSOv[E)n^NvQ4NLu)n^KNky:N[k)n^; Tr=T/Tc (reduced temperature) lSOv[ESRNvQ4NLuSRKNky:N[kSR pr=p/pc (reduced pressure) lSOv[ESOyNvQ4NLuSOyKNky:N[kSOy0 Vr,m=Vm/Vc,m (reduced volume) 1u[k'`(@bcvr`y:N[kr`. ~lSOv[kr`SN1u$N*N[k'`([hQQ[0N'$'''$$$$$ ' $ '  '  ' $$$$$'$'''$$$$$$$'$  $&$3 H T 0޽h ? ̙33___PPT10.+y[DP' = @B D ' = @BA?%,( < +O%,( < +D' =%(D' =%(DR' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*T%(D' =-6B%strips(downRight)*<3<*TD\' =%(D' =%(DR' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*T&%(D' =-6B%strips(downRight)*<3<*T&DR' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*T&G%(D' =-6B%strips(downRight)*<3<*T&GD\' =%(D' =%(DR' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*TG^%(D' =-6B%strips(downRight)*<3<*TG^DR' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*T^|%(D' =-6B%strips(downRight)*<3<*T^|D\' =%(D' =%(DR' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*T|%(D' =-6B%strips(downRight)*<3<*T|DR' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*T%(D' =-6B%strips(downRight)*<3<*TD' =%(D' =%(DR' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*T%(D' =-6B%strips(downRight)*<3<*TD' =%(D' =%(DR' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*T%(D' =-6B%strips(downRight)*<3<*T+8+0+T +r& p(    S \` <$  0  T)R(u[k`StBlir(v8^ N a=RT/p Vmre (1) Vmre= RT/p a (2) RT/p t`lSOvid\SOy; Vmre lSOv[Eid\SOy a t`lSON[ElSOid\SOyKN]. tet_: a=RT/p(1 p Vmre/RT) [INpRf[Qpe  S)VP[(compressibility factor): Z= p Vmre/RT (S)VP[) (3) a=RT/p(1 Z) (4)&$fff ffffffff#f  ffff $$$$$\  "!  H  0޽h ? ̙33___PPT10d.+y[D' = @B D' = @BA?%,( < +O%,( < +D' =%(D' =%(DR' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*%(D' =-6B%strips(downRight)*<3<*D' =%(D' =%(DR' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*%%(D' =-6B%strips(downRight)*<3<*%D ' =%(D ' =%(DR' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*%;%(D' =-6B%strips(downRight)*<3<*%;DR' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*;O%(D' =-6B%strips(downRight)*<3<*;ODR' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*Ob%(D' =-6B%strips(downRight)*<3<*ObDR' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*by%(D' =-6B%strips(downRight)*<3<*byD\' =%(D' =%(DR' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*y~%(D' =-6B%strips(downRight)*<3<*y~DR' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*~%(D' =-6B%strips(downRight)*<3<*~D\' =%(D' =%(DR' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*%(D' =-6B%strips(downRight)*<3<*DR' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*%(D' =-6B%strips(downRight)*<3<*D' =%(D' =%(DR' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*%(D' =-6B%strips(downRight)*<3<*+8+0+ +( 2(    S < <$ 0  h1u8^v{lQ_: +"RTdlnf =+"Vmredp =+"(RT/p a)dp =+"RTdlnp +"adp [ N_yR,v^NeQ N NP, NPp*яN: RTlnf RTlnf*=RTlnp RTlnp* +"adp RTlnf=RTlnp +"adp p*!0, f*!p* RTln(f/p)= +"adp g =f/p RTlng= +"adp r  f f fff ffff-$ H  0޽h ? ̙33.&___PPT10.+3D' = @B Da' = @BA?%,( < +O%,( < +D' =%(D' =%(DT' =A@BBB B0B%(D' =1:Bvisible*o3>+B#style.visibility<* %(D' =-6B'blinds(horizontal)*<3<* D' =%(D' =%(DT' =A@BBB B0B%(D' =1:Bvisible*o3>+B#style.visibility<* R%(D' =-6B'blinds(horizontal)*<3<* RD' =%(Dd' =%(DT' =A@BBB B0B%(D' =1:Bvisible*o3>+B#style.visibility<*Rj%(D' =-6B'blinds(horizontal)*<3<*RjDT' =A@BBB B0B%(D' =1:Bvisible*o3>+B#style.visibility<*j%(D' =-6B'blinds(horizontal)*<3<*jDT' =A@BBB B0B%(D' =1:Bvisible*o3>+B#style.visibility<*%(D' =-6B'blinds(horizontal)*<3<*D' =%(Dd' =%(DT' =A@BBB B0B%(D' =1:Bvisible*o3>+B#style.visibility<*%(D' =-6B'blinds(horizontal)*<3<*DT' =A@BBB B0B%(D' =1:Bvisible*o3>+B#style.visibility<*%(D' =-6B'blinds(horizontal)*<3<*DT' =A@BBB B0B%(D' =1:Bvisible*o3>+B#style.visibility<*%(D' =-6B'blinds(horizontal)*<3<*+8+0+ +j  JBX(  X X c $0:0` <$  0  \avh_(4)NeQ N_: RTlng= +"RT/p(1 Z)dp lng= +"(Z 1)/pdp \Sϑlbc:N[k'`( 5" pr=p/pc \ p=prpc dp/p=d(prpc)/prpc= dpr/pr (pc:N8^pe) lng= +"0p(r)(Z 1)/prdpr (5) [(5)_\OVv^yR,S_g,ۏ S_8^f.     $$$$$$$$ H X 0޽h ? ̙33___PPT10.+ TdD@' = @B D' = @BA?%,( < +O%,( < +D' =%(D^' =%(DR' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*X%(D' =-6B%strips(downRight)*<3<*XDR' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*X'%(D' =-6B%strips(downRight)*<3<*X'DR' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*X':%(D' =-6B%strips(downRight)*<3<*X':D ' =%(D ' =%(DR' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*X:I%(D' =-6B%strips(downRight)*<3<*X:IDR' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*XIX%(D' =-6B%strips(downRight)*<3<*XIXDR' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*XXf%(D' =-6B%strips(downRight)*<3<*XXfDR' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*Xf%(D' =-6B%strips(downRight)*<3<*XfD\' =%(D' =%(DR' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*X%(D' =-6B%strips(downRight)*<3<*XDR' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*X%(D' =-6B%strips(downRight)*<3<*X+8+0+X + \T(  \ \ c $X<$  0  :[kr`lBl8^vwQSOelS;`~:N: 1. Blir(v[k'`( T!Tr Tr=T/Tc p!pr pr=p/pc 2. 1uZ-pr-TrsQ|Bl_(Z 1)/prv+B#style.visibility<*\%(D' =-6B%strips(downRight)*<3<*\D' =%(D' =%(DR' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*\L%(D' =-6B%strips(downRight)*<3<*\LD' =%(D' =%(DR' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*\Lg%(D' =-6B%strips(downRight)*<3<*\LgD' =%(D' =%(DR' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*\gz%(D' =-6B%strips(downRight)*<3<*\gzD' =%(D' =%(DR' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*\z%(D' =-6B%strips(downRight)*<3<*\z+8+0+\ + (  R  S * <$D  0  [E NN N]\O]~ gN:NbN[bN, sS~6RQnfv[rV. [rV/fh:yir([k`'`((Tr,pr)NvQ8^|pegKNsQ|vnfV.1ulSOv)n^SRSBl_v^v[k`'`(,1u[k`'`(S_0RYNdk[kr` NlSOv8^T8^|pe. 1u[k`St,TylSOYNv T[kr`e, vQ8^|pe' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*%(D' =-m6Bbox(in)*<3<*D' =%(D' =%(D>' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<* u%(D' =-m6Bbox(in)*<3<* uD' =%(D' =%(D>' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*v%(D' =-m6Bbox(in)*<3<*v+8+0+ +C#  `p(  `z  ` ,$D 0HN  ` Z ` s *P ` BhC%DEF81""}[  x?E!N  q7w % x ] 8 !X] hP8=@           0 ` BCDEpF01`D``h8pxc9_mps   H  `HXXg@          ` 0xP f [kSRp > 2 ` 6D f 8^|peg> 2  ` 00 f [k)n^t> 2  ` 0ؾgh' p t=1.1 . 2  ` 0( n t=1.2. 2z     `   ,$D  0N     `   `2 ` 00 S ( ` 0t   V 4.0 2TB ` c $D@ @ `2 ` 00 S bz `@  ` `@ ,$D  0TB `B c $D@ |N `  ` `  ` 0t`  N0.29 2 `2 ` 0z  h  ` h ,$D  0{N    `    ` 0   M5.0 2 `2 ` 0  (TB ` c $D x `2 ` 0 h z (  ` ( ,$D  0TB `B c $D `2 ` 0p  ` 0d( M0.4 2 B ` s *޽h ? ̙33 ___PPT10+aD' = @B D' = @BA?%,( < +O%,( < +D' =%(D' =%(D3' =4@BB BB%(D' =1:Bvisible*o3>+B#style.visibility<*`%(D' =-o6Bdissolve*<3<*`D' =%(D' =%(D?' =4@BBB B%(D' =1:Bvisible*o3>+B#style.visibility<* `%(D' =-{6Bstrips(upLeft)*<3<* `D' =%(D' =%(D?' =4@BBB B%(D' =1:Bvisible*o3>+B#style.visibility<*`%(D' =-{6Bstrips(upLeft)*<3<*`D' =%(D' =%(D?' =4@BBB B%(D' =1:Bvisible*o3>+B#style.visibility<*`%(D' =-{6Bstrips(upLeft)*<3<*`D' =%(D' =%(D?' =4@BBB B%(D' =1:Bvisible*o3>+B#style.visibility<*`%(D' =-{6Bstrips(upLeft)*<3<*`+8 !)"(  Dl 6 /   ,$D 0`  0ffffg 6 p  `  033g 6 / pl    ,$D 0   0Ii ET 2 fB  6DoDl 6 /   ,$D 0`  0g 6 / p`  0g 6 p  Dl 6 /   ,$D 0`  03333g 6 / p`  0g 6 p  Dl 6 /   ,$D 0`  0ffffg 6 / p`  0ffg 6 p  Dl 6 /   ,$D  0`  0g 6 / p`  0g 6 p  Dl 6 /   ,$D  0`  0g 6 / p`  0g 6 p  8l 6 /    ,$D  0Z  s *g 6 / pZ  s *g 6 p    6f3),$D  0l @  s  #  P ,$D  0 ! 0)@ S s  Nliquid 2  " 0-W   Mgas(2  $ 0*<   ,$   0 B4NLur` 2&f % 0WF Fir(v4NLur`(2",R & s *fV ' 0$5 lԏV 2 3U 0B  s *޽h ? 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N.chemical potential of pure ideal gas ~~RvSf[RmsS:NvQid\ T^e1uGm: mi = Gm(i) 1upRf[W,gsQ|_, g: (m/p)T= (Gm/p)T=Vm (1) (WR`)nagN NyR: +"dm=+"Vmdp=+"RT/pdpj'$$g$'$ $$$$$$$$$$$$$$$$$$   &    H $ 0޽h ? ̙33___PPT10.+Q[DP' = @B D ' = @BA?%,( < +O%,( < +D' =%(D' =%(DR' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*$ %(D' =-6B%strips(downRight)*<3<*$ D' =%(D' =%(DR' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*$ ,%(D' =-6B%strips(downRight)*<3<*$ ,D' =%(D' =%(DR' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*$,S%(D' =-6B%strips(downRight)*<3<*$,SD\' =%(D' =%(DR' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*$Sj%(D' =-6B%strips(downRight)*<3<*$SjDR' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*$j{%(D' =-6B%strips(downRight)*<3<*$j{D\' =%(D' =%(DR' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*${%(D' =-6B%strips(downRight)*<3<*${DR' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*$%(D' =-6B%strips(downRight)*<3<*$D\' =%(D' =%(DR' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*$%(D' =-6B%strips(downRight)*<3<*$DR' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*$%(D' =-6B%strips(downRight)*<3<*$+8+0+$U +6 $h(  h| h c $]  <$  0  lyR N__: m(T,p)=m0(T,p0)+RT ln(p/p0) (2) layRv N NPR+R:N: m: )n^:NT, SR:Npv~t`lSO; m0: hQr`(standard state)t`lSOSf[R. hQr`: )n^:NT, SR:N1p0v~t`lSO. hQSRp0: 100,000Pa (ǏS:N101325Pa=1atm)) (((( (((  X     H h 0޽h ? ̙33___PPT10.+Q[D2' = @B D' = @BA?%,( < +O%,( < +D' =%(D' =%(DR' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*h)%(D' =-6B%strips(downRight)*<3<*h)D' =%(D^' =%(DR' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*h*7%(D' =-6B%strips(downRight)*<3<*h*7DR' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*h7N%(D' =-6B%strips(downRight)*<3<*h7NDR' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*hNp%(D' =-6B%strips(downRight)*<3<*hNpD\' =%(D' =%(DR' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*hq%(D' =-6B%strips(downRight)*<3<*hqDR' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*h%(D' =-6B%strips(downRight)*<3<*h+8+0+h  +  (  Z  S  `<$ 0   t`lSOvhQr`Sf[Rm0S/f)n^vQpe,NSResQ. Sf[Rm NNN/f)n^vQpe, ؏/fSRvQpe. ~~Rt`lSOSf[Rh_8^{S:N: m= m0+RT ln(p/p0) (3)J6- ,,,,,$0000 000&0"0   H  0޽h ? ̙33  ___PPT10 .+5RD> ' = @B D' = @BA?%,( < +O%,( < +D' =%(D' =%(D@' =A@BBB B0B%(D' =1:Bvisible*o3>+B#style.visibility<*6%(D' =-o6Bbox(out)*<3<*6D8' =%(D' =%(D@' =A@BBB B0B%(D' =1:Bvisible*o3>+B#style.visibility<*7J%(D' =-o6Bbox(out)*<3<*7JD@' =A@BBB B0B%(D' =1:Bvisible*o3>+B#style.visibility<*Jd%(D' =-o6Bbox(out)*<3<*Jd+8+0+  + (f(  (. ( c $ #`<$  0   N. mixture of ideal gases Yyt`lSOmT(WNw@b~bvSO|y:Nt`lSOmTir. vQpef[!jW:N: (1) @b giryRP[KNGWl g\O(uR; (2) @b gRP[vSOyGWSƉ:N. t`lSOmTirv'`(: (1) pV=("ni)RT=n;`RT (4) (2) pi=pxi (5) pi=pi* p:NSO|;`S;pi:NilSOvRS;xi:Nivid\Rpe.'$g$$'  $$$$$$$$ $$$$$$ 2  H ( 0޽h ? ̙33___PPT10.+ TdD6' = @B D' = @BA?%,( < +O%,( < +D' =%(D^' =%(DR' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*(>%(D' =-6B%strips(downRight)*<3<*(>DR' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*(>R%(D' =-6B%strips(downRight)*<3<*(>RDR' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*(Rd%(D' =-6B%strips(downRight)*<3<*(RdDj ' =%(D ' =%(DR' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*(eq%(D' =-6B%strips(downRight)*<3<*(eqDR' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*(q%(D' =-6B%strips(downRight)*<3<*(qDR' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*(%(D' =-6B%strips(downRight)*<3<*(DR' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*(%(D' =-6B%strips(downRight)*<3<*(DR' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*(%(D' =-6B%strips(downRight)*<3<*(+8+0+(# +  6. ,(  ,xF  ,   , <s#Ԕ (Z , s *   , 0?#   >JS 2Z , s *f  , 00A#N   p, T pi=pxi` 2   , 0 #   pi*, TP 2   , 0D# W,$ 0 zdV:NJSAQiRP[1uǏ, N]viRP[L:N NSvQ[RP[vq_T, Ee g: pi=pi* 3(2+ $$$$$$n H , 0޽h ? ̙33___PPT10f+LD' = @B D' = @BA?%,( < +O%,( < +D' =%(D' =%(DT' =A@BBB B0B%(D' =1:Bvisible*o3>+B#style.visibility<* ,%(D' =-6B'blinds(horizontal)*<3<* ,+8+0+ ,# + 0z(  0B 0 c $#`D<$  0 # 8fY N: t`lSOmTirvkN~RGW gNr`e z_: p1V1=n1RT, & piVi=niRT 5" V1=V2=& =Vi=V 4" "piVi=V "pi= "niRT=pV 4" "pi =p pi/p=(niRT/V) /("niRT/V)=ni/n;`=xi 4" pi=pxi F $$$$$$$$$$$$$$$$$$ $$$$$$$$$$$ $$$$$$ $$$$$$$$$00000  H 0 0޽h ? ̙33___PPT10.+y[DL' = @B D' = @BA?%,( < +O%,( < +D' =%(D' =%(DR' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*0%(D' =-6B%strips(downRight)*<3<*0D' =%(D' =%(DR' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*06%(D' =-6B%strips(downRight)*<3<*06D' =%(D' =%(DR' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*06G%(D' =-6B%strips(downRight)*<3<*06GD' =%(D' =%(DR' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*0Ga%(D' =-6B%strips(downRight)*<3<*0GaD' =%(D' =%(DR' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*0am%(D' =-6B%strips(downRight)*<3<*0amD' =%(D' =%(DR' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*0m%(D' =-6B%strips(downRight)*<3<*0mD' =%(D' =%(DR' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*0%(D' =-6B%strips(downRight)*<3<*0+8+0+0# +x  ~v(    S  <$  0 # D(3) t`lSOmTpHe^:N V:Nt`lSOmTir-N@b gRP[KNGWl g\O(uR, (WI{)nI{SagN NmTe, V:NSO|v)n^ NS, SO|-NvRP[(WT~ NR^vr`l gSS EeSO|vQTqGW NS, @bNt`lSO(WmTel gpHe^: DmixH=0 (6)d'((g$66 66x#    H  0޽h ? ̙33___PPT10z.+y[D' = @B D' = @BA?%,( < +O%,( < +D' =%(D' =%(DR' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*t%(D' =-6B%strips(downRight)*<3<*tD' =%(D' =%(DR' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*t%(D' =-6B%strips(downRight)*<3<*t+8+0+# +& TL 4(  4 4 c $2@ 2 "t`lSOmTir i ~RvSf[R:,$$$"z  4 ,$D 0N p 4  4 < 2Ԕ (Z 4 s *   4 02  p >JS 2Z 4 s *f   4 02N   p, T pi=pxi` 2   4 0p&2 D  pi*, TP 2   4 0,2^ mi T 2  4 0l22 NZ  mi* h 2x  4 0U2H,$  0 (WR`)nR`S Ns^a, ]S$Ni~RvSf[R_[vI{: 5" mi*= mi0+RT ln(pi*/p0) 4" mi= mi*= mi0+RT ln(pi*/p0) (pi= pi*=pxi) 4" mi=mi0+RT ln(p/p0)+RT lnxi (7) (7)_:Nt`lSOmTir-NNa~RivSf[Rh_. mi0/fh`Sf[R, vQh`[IN:N: ~ilSO,)n^:NT,SR:Np0. 2            z     H 4 0޽h ? ̙33___PPT10.+{D}' = @B D8' = @BA?%,( < +O%,( < +D' =%(D' =%(D3' =4@BB BB%(D' =1:Bvisible*o3>+B#style.visibility<*4%(D' =-o6Bdissolve*<3<*4D' =%(D' =%(DR' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<* 4%(D' =-6B%strips(downRight)*<3<* 4D' =%(D' =%(DR' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<* 46%(D' =-6B%strips(downRight)*<3<* 46D' =%(D' =%(DR' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<* 46d%(D' =-6B%strips(downRight)*<3<* 46dD\' =%(D' =%(DR' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<* 4d%(D' =-6B%strips(downRight)*<3<* 4dDR' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<* 4%(D' =-6B%strips(downRight)*<3<* 4D' =%(D' =%(DR' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<* 4%(D' =-6B%strips(downRight)*<3<* 4+8+0+ 42 +   8(  8x 8 c $Wwc    8 s *ik<$  0  >nN. US~R[ElSOvSf[RT8^: [N~v[ElSO(real gas), g: (m/p)T=(Gm/p)T=Vm (WR`)nR`S N,[ N_yRS_: m=m0(T)++"Vmdp (8) t N,SwS[ElSOvp-V-TsQ|,sSr`e z_,sSS1u N_BlQNar` N[ElSOvSf[Rm. FO[ElSOvr`e z____ YBg, BlyRvS_V.r%$$$$ $P:    H 8 0޽h ? ̙33___PPT10.+Q[D<' = @B D' = @BA?%,( < +O%,( < +D' =%(D' =%(DR' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*8%(D' =-6B%strips(downRight)*<3<*8D\' =%(D' =%(DR' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*8)%(D' =-6B%strips(downRight)*<3<*8)DR' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*8)A%(D' =-6B%strips(downRight)*<3<*8)AD\' =%(D' =%(DR' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*8AQ%(D' =-6B%strips(downRight)*<3<*8AQDR' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*8Qh%(D' =-6B%strips(downRight)*<3<*8QhD\' =%(D' =%(DR' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*8h%(D' =-6B%strips(downRight)*<3<*8hDR' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*8%(D' =-6B%strips(downRight)*<3<*8+8+0+8 +8 p\(  p$ p c $u2`<$  0 2 :NeO0Wh[ElSOvSf[R,LewiscQN8^vi_, O[ElSOSf[RNt`lSOSf[Rvh_wQ gvяvpef[hb__: m= m0+RT ln(f/p0) (9) f=gp (10) f: lSOv8^(fugacity); g: 8^|pe(fugacity coefficiant); m0: [ElSOvh`Sf[R. [ElSOvhQr`[IN:N: ~lSO, )n^:NT, SR:N100,000Pa, vQL:NN gNt`lSOr`e zvZb`.j%'$$ $$$</ #      H p 0޽h ? ̙33 ___PPT10.+LbD' = @B DG' = @BA?%,( < +O%,( < +D\' =%(D' =%(DR' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*p?Y%(D' =-6B%strips(downRight)*<3<*p?YDR' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*pYj%(D' =-6B%strips(downRight)*<3<*pYjD' =%(D^' =%(DR' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*pj%(D' =-6B%strips(downRight)*<3<*pjDR' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*p%(D' =-6B%strips(downRight)*<3<*pDR' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*p%(D' =-6B%strips(downRight)*<3<*pD\' =%(D' =%(DR' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*p%(D' =-6B%strips(downRight)*<3<*pDR' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*p%(D' =-6B%strips(downRight)*<3<*p+8+0+p2 +L   EE< D(  <~ < s *x$   B < s *`z,$  0 L[ElSO g N_bz: limf/p=limg=1 (pN0) S_[ElSOSR:N1p0e, vQr`:NBp,f N:N1. [ElSOvhQ`:NAp,/fGPS_[ElSOSR:N 1hQSRe,vQL:NN gNt`lSOe z8^|peNI{N1vZb`. [ElSOv8^I{N1e, vQSR N:N1,dkr`1upRh:y,[N N Tv[ElSO,RpvMO_N N T.` 2  z %" @l   < ,$D  09@   < rB < BDԔ d4 < # Bt C DELF$3Ԕ < xl 4  >  "8  l  h  . t @       dL4Z6T p  <#  z4N  < p N t < t8XN t| < t|N tP < tP`B < 0Dt`B < 0DP`B < 0DDtDN tP < Dt|`B < 0Dt`B < 0DP`B  < 0DDtDN t| !< pt N tP "< tP`B #< 0Dt`B $< 0DP`B %< 0DDtDN tP &< Dt|`B '< 0Dt`B (< 0DP`B )< 0DDtDN t| *<  t, N tP +< tP`B ,< 0Dt`B -< 0DP`B .< 0DDtDN tP /< Dt|`B 0< 0Dt`B 1< 0DP`B 2< 0DDtDN t| 3<  tN tP 4< tP`B 5< 0Dt`B 6< 0DP`B 7< 0DDtDN tP 8< Dt|`B 9< 0Dt`B :< 0DP`B ;< 0DDtDN t| << xtN tP =< tP`B >< 0Dt`B ?< 0DP`B @< 0DDtDN tP A< Dt|`B B< 0Dt`B C< 0DP`B D< 0DDtDT t| E<# 3tN tP F< tP`B G< 0Dt`B H< 0DP`B I< 0DDtDN tP J< Dt|`B K< 0Dt`B L< 0DP`B M< 0DDtDT t| N<# 3t\N tP O< tP`B P< 0Dt`B Q< 0DP`B R< 0DDtDN tP S< Dt|`B T< 0Dt`B U< 0DP`B V< 0DDtDT t| W<# 3tP N tP X< tP`B Y< 0Dt`B Z< 0DP`B [< 0DDtDN tP \< Dt|`B ]< 0Dt`B ^< 0DP`B _< 0DDtDT t| `<# 3t  N tP a< tP`B b< 0Dt`B c< 0DP`B d< 0DDtDN tP e< Dt|`B f< 0Dt`B g< 0DP`B h< 0DDtDT t| i<# 3t dN tP j< tP`B k< 0Dt`B l< 0DP`B m< 0DDtDN tP n< Dt|`B o< 0Dt`B p< 0DP`B q< 0DDtD`B r< 0D,,(`B s<B 0Dt,`B t< 0Dtt u< s *c @ E0 2  v< s *Hd4 @  E6 2  w< s *p @  E5 2  x< s *@  E4 2  y< s * U@ E3 2  z< s *Px@\ E2 2  {< s *$L@0 E1 2  |< s *0@ F10 2  }< s *@ E9 2  ~< s * @p E8 2  < s *T @8  E7 2  < s *H   E4 2  < s *t H  E3 2  < s * h  E2 2  < s * E7 2  < s *X   E1 2  < s *D` E8 2  < s *l@ E9 2  < s *lg@ F10 2  < s *  E0 2  < s *x E6 2  < s * E5 2  < s *\ xdr Tt`lSO 2 < s *h   T[ElSO 2 < 60n   Kf 2  < 6t` Kp 2 GT ` ` <#  T D 0fB < 6D` 8 8 uN  p ` <  p `lB < <Dh h @N  x p T <  p `N P  p  < P  p |N P   < P  Z2  < s *P  O Z2  < s * O Z2  < s *P h    < s *pyh 8 p  ER 2 N  x 4 T <  x 4 T < s *r x D L  EA 2  < s *0 4 T EB 2 B < s *̙޽h ? ̙33___PPT10m.+Ƭ D ' = @B D' = @BA?%,( < +O%,( < +D' =%(D' =%(DR' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*<%(D' =-6B%strips(downRight)*<3<*<D' =%(D' =%(DE' =4@BBBB%(D' =1:Bvisible*o3>+B#style.visibility<*<%(D' =-6B%strips(downRight)*<3<*<+8+0+< +  @D(  @  @ c $|[X(<$  0 2 tN. lSOmTirv8^: [NmTlSO-Nv~R, S{|?@ABCDEFGHIJKLMNOPQRSTUVWXYZ[\]^_`abcdefghijklmnopqrstuvwxyz{|}~r`vĉ[NMRv T. [IN: gi=fi/pi (12) gi :Ni~Rv8^|pe. [NNa[ElSO, S_lSOvSRяNe, [ElSOvL:NяNt`lSOvL:N, [ElSOv8^|peяN1, vQ8^яNSR: lim(fi/pi)=limgi=1 S_p!0e (13)EEd '$$$$$$ $$$$$$$ E     H @ 0޽h ? ̙33 ___PPT10.+ TdD' = @B DG' = @BA?%,( < +O%,( < +D\' =%(D' =%(DR' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*@ %%(D' =-6B%strips(downRight)*<3<*@ %DR' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*@%E%(D' =-6B%strips(downRight)*<3<*@%ED' =%(D^' =%(DR' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*@Ff%(D' =-6B%strips(downRight)*<3<*@FfDR' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*@f}%(D' =-6B%strips(downRight)*<3<*@f}DR' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*@}%(D' =-6B%strips(downRight)*<3<*@}D\' =%(D' =%(DR' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*@%(D' =-6B%strips(downRight)*<3<*@DR' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*@%(D' =-6B%strips(downRight)*<3<*@+8+0+@[ + "x(  xz x S [ PP<$  0  f N. fivBl{: lSOmTir-Ng~R8^S(uLewis-RandellĉR{: fi=fi0xi (14) _-N: xi/fi~Rvid\Rpe; fi/fi~Rv8^; fi0/f~ilSO,)n^:NT,SRI{NSO|;`Sp ev8^. N N_SN_w, 2kBllSOmTir-Ng~Rv8^, HQBl{~lSO~Rv8^. 6r$$$$$ (   H x 0޽h ? ̙33 ___PPT10.+ TdD' = @B D=' = @BA?%,( < +O%,( < +D\' =%(D' =%(DR' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*x +%(D' =-6B%strips(downRight)*<3<*x +DR' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*x+A%(D' =-6B%strips(downRight)*<3<*x+AD ' =%(D ' =%(DR' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*xBS%(D' =-6B%strips(downRight)*<3<*xBSDR' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*xSd%(D' =-6B%strips(downRight)*<3<*xSdDR' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*xd%(D' =-6B%strips(downRight)*<3<*xdDR' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*x%(D' =-6B%strips(downRight)*<3<*x+8+0+x[ +#  DX(  D  D c $[<$  0 [ xV. ~[ElSO8^vBl{: 1. pef[㉐gl: (WI{)nagN N: dGm=dm=Vmdp (15) S g: m=m0+RT ln(f/p0) S_R 4" dm=RTdlnf=Vmdp p0:N8^pe [ N_yR: +"RTdlnf=+"Vmdp ln(f/f*)=1/RT+"Vmdp =1/RT[+"d(Vmp) +"pdVm]l% '$3    $$$       H D 0޽h ? ̙33z___PPT10Z.+y[D' = @B D' = @BA?%,( < +O%,( < +D' =%(D' =%(DR' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*D%(D' =-6B%strips(downRight)*<3<*DD\' =%(D' =%(DR' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*D!%(D' =-6B%strips(downRight)*<3<*D!DR' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*D!9%(D' =-6B%strips(downRight)*<3<*D!9D' =%(D' =%(DR' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*D9P%(D' =-6B%strips(downRight)*<3<*D9PD\' =%(D' =%(DR' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*DPU%(D' =-6B%strips(downRight)*<3<*DPUDR' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*DUo%(D' =-6B%strips(downRight)*<3<*DUoD ' =%(D ' =%(DR' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*Dov%(D' =-6B%strips(downRight)*<3<*DovDR' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*Dv%(D' =-6B%strips(downRight)*<3<*DvDR' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*D%(D' =-6B%strips(downRight)*<3<*DDR' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*D%(D' =-6B%strips(downRight)*<3<*D+8+0+D[ + 0|(  |T | S P<$  0 [ pS N NP( NPp*яN): ln(f/f*)=1/RT[(pV p*V*) +"pdVm] (16) S_p*!0e: f*!p* p*Vm*=RT \dk~gNeQ(16)_yR, S_: lnf=lnp*+1/RT[pVm RT +"pdVm] (17) (17)_:NlSO8^fv{_. w[ElSOvr`e z,OS1u N_BlQlSOv8^.n       +   H | 0޽h ? ̙33>6___PPT10.+ڇhD' = @B Dq' = @BA?%,( < +O%,( < +D"' =%(%(D' =%(DR' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*|6%(D' =-6B%strips(downRight)*<3<*|6D' =%(D^' =%(DR' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*|6?%(D' =-6B%strips(downRight)*<3<*|6?DR' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*|?I%(D' =-6B%strips(downRight)*<3<*|?IDR' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*|IU%(D' =-6B%strips(downRight)*<3<*|IUD' =%(D^' =%(DR' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*|Ui%(D' =-6B%strips(downRight)*<3<*|UiDR' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*|i%(D' =-6B%strips(downRight)*<3<*|iDR' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*|%(D' =-6B%strips(downRight)*<3<*|D' =%(D' =%(DR' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*|%(D' =-6B%strips(downRight)*<3<*|+8+0+| + @(  N H c $p&) <$  0  O:Bl_NSlSOv8^? : _NSe z:N: (p+a/Vm2)(Vm b)=RT (1) p=RT/(Vm b) a/Vm2 (2) NeQ(17)_: C '((          ^  6  S A  ??"? ~ 8  $D 0H  0޽h ? ̙33___PPT10.+Q;uD-' = @B D' = @BA?%,( < +O%,( < +D' =%(D' =%(DR' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*H%(D' =-6B%strips(downRight)*<3<*HD' =%(D' =%(DR' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*H5%(D' =-6B%strips(downRight)*<3<*H5D' =%(D' =%(DR' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*H5Q%(D' =-6B%strips(downRight)*<3<*H5QD' =%(D' =%(DR' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*HR[%(D' =-6B%strips(downRight)*<3<*HR[D' =%(D' =%(DG' =4@BBB B%(D' =1:Bvisible*o3>+B#style.visibility<*%(D' =-6B'blinds(horizontal)*<3<*+8+0+H + @ J(  ^  6  S A ??"?bg8 $D  0  6PqY? bHQBlvQ-NvyRy:  4  B`v^]<,$  0 BS_p*!0e, Vm*!", a/Vm*!0, Vm* b=Vm*"          ^  6--l     ,$D 0r   S A  ??"?l      089a J  >yRy 2 H  0޽h ? ̙33  ___PPT10x .0+ۦkD ' = @B D ' = @BA?%,( < +O%,( < +D' =%(D' =%(D1' =4@BBBB%(D' =1:Bvisible*o3>+B#style.visibility<*%(D' =-m6Bbox(in)*<3<*D' =%(D' =%(DR' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*%(D' =-6B%strips(downRight)*<3<*D' =%(D' =%(Dc' =4@BB BB%()))D' =1:Bvisible*o3>+B#style.visibility<* %(D' =-o6Bdissolve*<3<* +8+0+ +h PL6(  L L c $G``<$  0  f \yR~gNeQ8^fvh_-N: lnf=lnp*+1/RT[pVm RT RTln((Vm b)/RT) RTlnp* a/Vm] lnf=1/RT[pVm RT RTln((Vm b)/RT) a/Vm] 5" pVm RT=(RT/(Vm b) a/Vm2)Vm RT = RTb/(Vm b) a/Vm lnf=ln(RT/(Vm b))+b/(Vm b) 2a/RTVm (3) (3)_sS:N_NSlSOv8^{_.=                H L 0޽h ? ̙33jb___PPT10B.+y[D' = @B D' = @BA?%,( < +O%,( < +D' =%(D' =%(DR' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*LD%(D' =-6B%strips(downRight)*<3<*LDD' =%(D' =%(DR' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*LEk%(D' =-6B%strips(downRight)*<3<*LEkD\' =%(D' =%(DR' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*Ll%(D' =-6B%strips(downRight)*<3<*LlDR' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*L%(D' =-6B%strips(downRight)*<3<*LD\' =%(D' =%(DR' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*L%(D' =-6B%strips(downRight)*<3<*LDR' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*L%(D' =-6B%strips(downRight)*<3<*L+8+0+L +. `Pj(  P2 P c $,M<$  0   2. [kr`l: [k`St (the principle of corresponding state) S_TylSOYNv Tv[kr`e(sSwQ gv Tv[k)n^,[kSR),lSOvY'`(/fvx '6&0('( ' , ' , ' , ' , ' ,,(  H P 0޽h ? ̙33  ___PPT10 .+ TdDt ' = @B D/ ' = @BA?%,( < +O%,( < +D\' =%(D' =%(DR' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*P %(D' =-6B%strips(downRight)*<3<*P DR' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*P9%(D' =-6B%strips(downRight)*<3<*P9D' =%(D' =%(DR' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*P9w%(D' =-6B%strips(downRight)*<3<*P9w+8+0+P + PHP(    s *f# ,$D  0  S <$  0  Rir(v4NLur`(critical state): ~ir(l,m$NvLu~Rm1Yvr`. ir(v4NLu'`(: ir((W4NLur`@bwQ gv'`( 8^v4NLu'`( g: 4NLuSRpc(critical pressure); 4NLu)n^Tc(critical temperature); 4NLuSOyVc(critical volume).ss~s'$'($ ' ( $$$$$$$$$     U 0=AH  0޽h ? ̙33kc___PPT10C.,>+"D' = @B D' = @BA?%,( < +O%,( < +D' =%(D' =%(DR' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*,%(D' =-6B%strips(downRight)*<3<*,D' =%(DW' =%(D' =A@BBBB0B%()))D' =1:Bvisible*o3>+B#style.visibility<*,H%(D' =-6B%strips(downRight)*<3<*,HDu' =4@BBBB%()))D' =1:Bvisible*o3>+B#style.visibility<*%(D' =-6B%strips(downRight)*<3<*D ' =%(D ' =%(DR' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*HR%(D' =-6B%strips(downRight)*<3<*HRDR' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*Ro%(D' =-6B%strips(downRight)*<3<*RoDR' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*o%(D' =-6B%strips(downRight)*<3<*oDR' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*%(D' =-6B%strips(downRight)*<3<*+8+0+ +@  T(  Tr T c $aP<$  0  ir(v[k'`(T[kr`: lSOv[E)n^NvQ4NLu)n^KNky:N[k)n^; Tr=T/Tc (reduced temperature) lSOv[ESRNvQ4NLuSRKNky:N[kSR pr=p/pc (reduced pressure) lSOv[ESOyNvQ4NLuSOyKNky:N[kSOy0 Vr,m=Vm/Vc,m (reduced volume) 1u[k'`(@bcvr`y:N[kr`. ~lSOv[kr`SN1u$N*N[k'`([hQQ[0N'$'''$$$$$ ' $ '  '  ' $$$$$'$'''$$$$$$$'$  $&$3 H T 0޽h ? ̙33___PPT10.+ TdDF' = @B D' = @BA?%,( < +O%,( < +D\' =%(D' =%(DR' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*T&%(D' =-6B%strips(downRight)*<3<*T&DR' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*T&G%(D' =-6B%strips(downRight)*<3<*T&GD\' =%(D' =%(DR' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*TG^%(D' =-6B%strips(downRight)*<3<*TG^DR' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*T^|%(D' =-6B%strips(downRight)*<3<*T^|D\' =%(D' =%(DR' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*T|%(D' =-6B%strips(downRight)*<3<*T|DR' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*T%(D' =-6B%strips(downRight)*<3<*TD' =%(D' =%(DR' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*T%(D' =-6B%strips(downRight)*<3<*TD' =%(D' =%(DR' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*T%(D' =-6B%strips(downRight)*<3<*T+8+0+T +h# p(    S ` <$  0  T)R(u[k`StBlir(v8^ N a=RT/p Vmre (1) Vmre= RT/p a (2) RT/p t`lSOvid\SOy; Vmre lSOv[Eid\SOy a t`lSON[ElSOid\SOyKN]. tet_: a=RT/p(1 p Vmre/RT) [INpRf[Qpe  S)VP[(compressibility factor): Z= p Vmre/RT (S)VP[) (3) a=RT/p(1 Z) (4)&$fff ffffffff#f  ffff $$$$$\  "!  H  0޽h ? ̙33z___PPT10Z.+y[D' = @B D' = @BA?%,( < +O%,( < +D' =%(D' =%(DR' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*%%(D' =-6B%strips(downRight)*<3<*%D ' =%(D ' =%(DR' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*%;%(D' =-6B%strips(downRight)*<3<*%;DR' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*;O%(D' =-6B%strips(downRight)*<3<*;ODR' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*Ob%(D' =-6B%strips(downRight)*<3<*ObDR' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*by%(D' =-6B%strips(downRight)*<3<*byD\' =%(D' =%(DR' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*y~%(D' =-6B%strips(downRight)*<3<*y~DR' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*~%(D' =-6B%strips(downRight)*<3<*~D\' =%(D' =%(DR' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*%(D' =-6B%strips(downRight)*<3<*DR' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*%(D' =-6B%strips(downRight)*<3<*D' =%(D' =%(DR' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*%(D' =-6B%strips(downRight)*<3<*+8+0+ + 2(    S Q <$ 0  h1u8^v{lQ_: +"RTdlnf =+"Vmredp =+"(RT/p a)dp =+"RTdlnp +"adp [ N_yR,v^NeQ N NP, NPp*яN: RTlnf RTlnf*=RTlnp RTlnp* +"adp RTlnf=RTlnp +"adp p*!0, f*!p* RTln(f/p)= +"adp g =f/p RTlng= +"adp r  f f fff ffff-$ H  0޽h ? ̙33"___PPT10.+3D' = @B DU' = @BA?%,( < +O%,( < +D' =%(D' =%(DT' =A@BBB B0B%(D' =1:Bvisible*o3>+B#style.visibility<* R%(D' =-6B'blinds(horizontal)*<3<* RD' =%(Dd' =%(DT' =A@BBB B0B%(D' =1:Bvisible*o3>+B#style.visibility<*Rj%(D' =-6B'blinds(horizontal)*<3<*RjDT' =A@BBB B0B%(D' =1:Bvisible*o3>+B#style.visibility<*j%(D' =-6B'blinds(horizontal)*<3<*jDT' =A@BBB B0B%(D' =1:Bvisible*o3>+B#style.visibility<*%(D' =-6B'blinds(horizontal)*<3<*D' =%(Dd' =%(DT' =A@BBB B0B%(D' =1:Bvisible*o3>+B#style.visibility<*%(D' =-6B'blinds(horizontal)*<3<*DT' =A@BBB B0B%(D' =1:Bvisible*o3>+B#style.visibility<*%(D' =-6B'blinds(horizontal)*<3<*DT' =A@BBB B0B%(D' =1:Bvisible*o3>+B#style.visibility<*%(D' =-6B'blinds(horizontal)*<3<*+8+0+ + JBX(  X X c $0` <$  0  \avh_(4)NeQ N_: RTlng= +"RT/p(1 Z)dp lng= +"(Z 1)/pdp \Sϑlbc:N[k'`( 5" pr=p/pc \ p=prpc dp/p=d(prpc)/prpc= dpr/pr (pc:N8^pe) lng= +"0p(r)(Z 1)/prdpr (5) [(5)_\OVv^yR,S_g,ۏ S_8^f.     $$$$$$$$ H X 0޽h ? ̙33nf___PPT10F.+ TdD' = @B D' = @BA?%,( < +O%,( < +D\' =%(D' =%(DR' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*X'%(D' =-6B%strips(downRight)*<3<*X'DR' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*X':%(D' =-6B%strips(downRight)*<3<*X':D ' =%(D ' =%(DR' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*X:I%(D' =-6B%strips(downRight)*<3<*X:IDR' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*XIX%(D' =-6B%strips(downRight)*<3<*XIXDR' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*XXf%(D' =-6B%strips(downRight)*<3<*XXfDR' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*Xf%(D' =-6B%strips(downRight)*<3<*XfD\' =%(D' =%(DR' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*X%(D' =-6B%strips(downRight)*<3<*XDR' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*X%(D' =-6B%strips(downRight)*<3<*X+8+0+X + \T(  \ \ c $X<$  0  :[kr`lBl8^vwQSOelS;`~:N: 1. Blir(v[k'`( T!Tr Tr=T/Tc p!pr pr=p/pc 2. 1uZ-pr-TrsQ|Bl_(Z 1)/prv+B#style.visibility<*\L%(D' =-6B%strips(downRight)*<3<*\LD' =%(D' =%(DR' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*\Lg%(D' =-6B%strips(downRight)*<3<*\LgD' =%(D' =%(DR' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*\gz%(D' =-6B%strips(downRight)*<3<*\gzD' =%(D' =%(DR' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*\z%(D' =-6B%strips(downRight)*<3<*\z+8+0+\ +  (  R  S @ <$  0  [E NN N]\O]~ gN:NbN[bN, sS~6RQnfv[rV. [rV/fh:yir([k`'`((Tr,pr)NvQ8^|pegKNsQ|vnfV.1ulSOv)n^SRSBl_v^v[k`'`(,1u[k`'`(S_0RYNdk[kr` NlSOv8^T8^|pe. 1u[k`St,TylSOYNv T[kr`e, vQ8^|pe' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<* u%(D' =-m6Bbox(in)*<3<* uD' =%(D' =%(D>' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*v%(D' =-m6Bbox(in)*<3<*v+8+0+ +rY6 Pr ~<0T?u 8_F{s6J֠Z=sOe2r 'N*|&? 569?. ՜.+,D՜.+,    $  Ļʾ2人ѧѧ뻷ѧѧԺ?R%A 0Times New Roman _GB2312 κSymbolFranklin Gothic Medium ش ĬģMathType 5.0 Equation ѧ Һ õƬ 3һ Һʾ õƬ 5 õƬ 6 õƬ 7ڶ (ideal gas) õƬ 9 õƬ 10 õƬ 11 õƬ 12 õƬ 13 õƬ 14 õƬ 15, ʵ,ݶ real gases,fugacity õƬ 17 ʵı׼̬ õƬ 19 õƬ 20 õƬ 21 õƬ 22 õƬ 23 õƬ 24 õƬ 25 õƬ 26 õƬ 27 õƬ 28 õƬ 29 õƬ 30 õƬ 31 õƬ 32 õƬ 33 õƬ 34 õƬ 35 õƬ 36 õƬ 37  õ ʾĸģǶ OLE  õƬ% 8@ _PID_HLINKSA 293,36,{^opGr 36290,28,{^opGr 28