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Free energy   6P1$,0___PPT106___PPT9B___PPTMac11   hnamd` Arial&Monotype Typography  *Gibbs free energy Gk  s *? + $,8___PPT10F___PPT9( V___PPTMac110(   hnamd` Arial&Monotype Typography    hnamd` Arial&Monotype Typography  First law of thermo dE = dQ - dW adding in entropy and P-V work dE = T dS - P dV Define Gibbs free energy G = E + PV - TS a derivative & some algebra dG = V dP - S dT  2VZH  0޽h ? 33___PPT10.s\b+D' ?= @B Dw' = @BA?%,( < +O%,( < +DA' =%(D' =%(D' =A@BBBB0B%(D' =1:Bvisible*o3>+#.<*%(DA' =%(D' =%(D' =A@BBBB0B%(D' =1:Bvisible*o3>+#.<*%(DA' =%(D' =%(D' =A@BBBB0B%(D' =1:Bvisible*o3>+#.<*$%(DA' =%(D' =%(D' =A@BBBB0B%(D' =1:Bvisible*o3>+#.<*$V%(DA' =%(D' =%(D' =A@BBBB0B%(D' =1:Bvisible*o3>+#.<*V%(DA' =%(D' =%(D' =A@BBBB0B%(D' =1:Bvisible*o3>+#.<*%(++0+ ++0+ ++0+ +4p IA@( IDK/{5 v  6k< Ppp0___PPT106___PPT9B___PPTMac11   hnamd` Arial&Monotype Typography  @At equilibrium, #8 0 9  09h  6<  50___PPT106___PPT9B___PPTMac11   hnamd` Arial&Monotype Typography  *Therefore, what is dG?  6 \ 9 8___PPT10F___PPT9( V___PPTMac110(   hnamd` Arial&Monotype Typography    hnamd` Arial&Monotype Typography  w=dG = 0 (now think min, max, slope, entropy) dG = V dP - S dT>-  6 0  @___PPT10 V___PPT980j___PPTMac11D<   hnamd` Arial&Monotype Typography    hnamd` Arial&Monotype Typography    hnamd` Arial&Monotype Typography  |8G does the opposite of what entropy does: G is minimized(9* h  6  @0___PPT106___PPT9B___PPTMac11   hnamd` Arial&Monotype Typography  *P and T stay constant.H  0޽h ? 3380___PPT10.sv4p Pv(  X  C 0AFigure20_03` p  s *@9zP  ___PPT10xp     ___PPT9     N ___PPTMac11(     hnamd` Arial&Monotype Typography    hnamd` Arial&Monotype Typography   (namd Symbol    (namd Symbol     hnamd` Arial&Monotype Typography   (namd Symbol    (namd Symbol    (namd Symbol    (namd Symbol    (namd Symbol     hnamd` Arial&Monotype Typography    hnamd` Arial&Monotype Typography   (namd Symbol    (namd Symbol   .&not all energy can be converted to work, some heat is always lost A cyclic process: DU = Q - W = 0 Q = W Here, Q = QC + QH Efficiency e = W / QHT*BA    $$((,,0044T? @`  s * P`0___PPT108___PPT9B___PPTMac11   hnamd` Arial&Monotype Typography  Scapitalize on the fact that heat flows from hot to cold convert some heat to work. 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Free energy T  6P1$,0___PPT106___PPT9 ___PPTMac11  (namd Symbol   *Gibbs free energy G3  s *? +$,8___PPT10F___PPT9( ___PPTMac11  (namd Symbol     hnamd` Arial&Monotype Typography  First law of thermo dE = dQ - dW adding in entropy and P-V work dE = T dS - P dV Define Gibbs free energy G = E + PV - TS a derivative & some algebra dG = V dP - S dT  2VZl       ,$D,`B  0D  #  6  @0___PPT106___PPT9 ___PPTMac11  (namd Symbol    Same as UH  0޽h ? 33___PPT10.s\b+`UڔD' ?= @B D' = @BA?%,( < +O%,( < +DA' =%(D' =%(D' =A@BBBB0B%(D' =1:Bvisible*o3>+#.<*%(DA' =%(D' =%(D' =A@BBBB0B%(D' =1:Bvisible*o3>+#.<*%(DA' =%(D' =%(D' =A@BBBB0B%(D' =1:Bvisible*o3>+#.<*$%(DA' =%(D' =%(D' =A@BBBB0B%(D' =1:Bvisible*o3>+#.<*$V%(DA' =%(D' =%(D' =A@BBBB0B%(D' =1:Bvisible*o3>+#.<*V%(DA' =%(D' =%(D' =A@BBBB0B%(D' =1:Bvisible*o3>+#.<*%(D4' =%(D' =%(D' =4@BBBB%(D' =1:Bvisible*o3>+#.<*%(++0+ ++0+ ++0+ +:#4p @!( IDK/{5 >  6k< Ppp0___PPT106___PPT9 ___PPTMac11  (namd Symbol   @At equilibrium, h  << "0 5P$,0___PPT106___PPT9 ___PPTMac11  (namd Symbol   *Therefore, what is dG?  < \ "9 $,8___PPT10F___PPT9( ___PPTMac11  (namd Symbol     hnamd` Arial&Monotype Typography  w=dG = 0 (now think min, max, slope, entropy) dG = V dP - S dT>-  < " 0$,@___PPT10 V___PPT980___PPTMac11  (namd Symbol     hnamd` Arial&Monotype Typography   (namd Symbol   |8G does the opposite of what entropy does: G is minimized(9* h  < "`$,0___PPT106___PPT9 ___PPTMac11  (namd Symbol   *P and T stay constant.H  0޽h ? 33E=___PPT10.s+0w!D' ?= @B D' = @BA?%,( < +O%,( < +DA' =%(D' =%(D' =A@BBBB0B%(D' =1:Bvisible*o3>+#.<*%(DA' =%(D' =%(D' =A@BBBB0B%(D' =1:Bvisible*o3>+#.<*%(DA' =%(D' =%(D' =A@BBBB0B%(D' =1:Bvisible*o3>+#.<*%(DA' =%(D' =%(D' =A@BBBB0B%(D' =1:Bvisible*o3>+#.<*-%(DA' =%(D' =%(D' =A@BBBB0B%(D' =1:Bvisible*o3>+#.<*->%(DA' =%(D' =%(D' =A@BBBB0B%(D' =1:Bvisible*o3>+#.<**%(DA' =%(D' =%(D' =A@BBBB0B%(D' =1:Bvisible*o3>+#.<**9%(++0+ ++0+ ++0+ ++0+ +4p PH` (    s *i @H___PPT10( f___PPT9H@___PPTMac11  (namd Symbol     hnamd` Arial&Monotype Typography    hnamd` Arial&Monotype Typography   (namd Symbol   ~G = how much useful work can be done (not just heat released) at constant T and P. At equilibrium, no more work can be done. 0S* v  6`~ Pp0___PPT106___PPT9 ___PPTMac11  (namd Symbol   xHWe can think of a cell as an engine& %%  6 8   $,p@___PPT10 V___PPT980___PPTMac11  (namd Symbol    (namd Symbol    (namd Symbol   .dG = V dP - S dT + m dN*Ajl   P    P ,$D,`B  0D P Z  s *  $  6 0v  0 ) P 0___PPT106___PPT9 ___PPTMac11  (namd Symbol    Chemistry!H  0޽h ? 33#___PPT10.s J+!JD' ?= @B DF' = @BA?%,( < +O%,( < +DA' =%(D' =%(D' =A@BBBB0B%(D' =1:Bvisible*o3>+#.<*%(D4' =%(D' =%(D' =4@BBBB%(D' =1:Bvisible*o3>+#.<* %(+8+0+ +9 4p D < p  ( HUU    s *'q 0xp@___PPT10 V___PPT980___PPTMac11  (namd Symbol    (namd Symbol    (namd Symbol   tm = chemical potential = how G depends on N (# molecules) *;A9:  s *xp j`XP___PPT100(v___PPT9XPz___PPTMac11TL  (namd Symbol    (namd Symbol    (namd Symbol    (namd Symbol    (namd Symbol   $m dN = the sum of all m dN for all chemical species involved in the reaction BNAA6 $7H  0޽h ? 33___PPT10u.s J+D=' z= @B +r$ @P-e&^3 ( / 0DArial0L:: PIn@  s *r pB H@`___PPT10@8___PPT9xp2___PPTMac11   (namd Symbol    (namd Symbol    (namd Symbol    (namd Symbol    (namd Symbol    (namd Symbol    (namd Symbol   "Example: N2 + 3 H2 --> 2 NH3 .V# 2     s *WH J   ___PPT10`X  ___PPT9   ___PPTMac11| t   (namd Symbol    (namd Symbol    (namd Symbol    (namd Symbol    (namd Symbol    (namd Symbol    (namd Symbol    (namd Symbol    (namd Symbol    (namd Symbol    (namd Symbol   6>m dN = 1 mN2 + 3 mH2 - 2 mNH3  AA  A A $$((H  s * @xp@___PPT10 V___PPT980___PPTMac11  (namd Symbol    (namd Symbol    (namd Symbol   ^At equilibrium, G is at a minimum, so m dN = 0 ,0 2&A & H  0޽h ? 33___PPT10u.s J+D=' z= @B +r3 A3h( / 0DArial0L:: PIn@>3PgAMABO pHYs  $tEXtSoftwareQuickTime 7.0.3 (Mac OS X)^8ItIME'O` IDATxwxT !B4*HtD`P E@PCQH"~)ll6KkkѢE#FO~?ӯ_ԩSu&L믿.Rs޽!C˗iӦeʔ)7nܻwm۲eܩWX>p4i$\ǂ zmi:thDDę3gBBB2eʔqoܹsfz_Ç}]郂p .YB f;+yڵ+WO\#,, ajիWUȑ#5k3gNGF@'~ʕkצHErj5 '|T >>>3rc>}ƍYdI=9&MD܉ޥK}޹s'cƌ/h۶ѣY + Ф ݻw6`Xŋ[YN:-">J-<~  9{D-бcǿի+WV  [n}5//$w'Nȑ#G޼y- Ν;aEN2={vEH&C\rR0iܸ1l$;vĊPK/AI_> uݾ}@c)=z_OP,ĩS0\]a` >)Hϗ-[6aO1"F_{Ab ǣ0!3._L|rM]|'O&Pϟ_'ɽ/Ƚs{Ew9wx[X咔[NNyy,Xg/ŁUJ NwABtOv\^WCM[gtjcyˉ^xI^y_3g.*z~mǡrrnO 2P3]tQ3_!F:trM $7L34:HEV./XJoJn{ݻ7QPB}6DT^=iǏiӦRJ? 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