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4::\"Fhal$\"3;P+7?u7-AFjv7$$\"3+?0@*=VH>\"Fhal$\"3!\\!36x=kD@Fjv7$$\"3 $)*QipDyMB\"Fhal$\"3Az_,j\")yb?Fjv7$$\"3'\\n'G>!)ps7Fhal$\"31JC85lV#*> Fjv7$$\"3(*p8cy[C;8Fhal$\"3fX)GrT=l#>Fjv7$$\"37$\\W%oOPb8Fhal$\"3On1mN 5!4(=Fjv7$$\"31+x^.?:(R\"Fhal$\"3C*Qt5Uc\\\"=Fjv7$$\"3XTbd%Q4]V\"Fhal$ \"3#4PRP`H&pnz\"Fhal $\"3AsEgoRH69Fjv7$$\"3PV4gz,jR=Fhal$\"3+3v(e\"HTy8Fjv7$$\"3e'emfDlz(=F hal$\"33td2Z_F]8Fjv7$$\"3.bN+V%Q)=>Fhal$\"39T%\\u-8:K\"Fjv7$$\"3m%3*H) Hfz&>Fhal$\"35k$fzj3^H\"Fjv7$F_il$\"(&)yE\"F[jl-Fdil6&FfilFjilFgilFjil -%+AXESLABELSG6$Q#Vm6\"Q!F`\\n-%%VIEWG6$;$\"'!G^'F[o$\"\"#!\"$;Fjil$\" \"\"\"\"(" 1 2 0 1 10 0 2 9 1 4 2 1.000000 45.000000 45.000000 0 0 "Cu rve 1" "Curve 2" }}}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}} {PARA 0 "" 0 "" {TEXT -1 0 "" }}}}{SECT 1 {PARA 3 "" 0 "" {TEXT -1 45 "2.1.7 V\375po\350et tlaku plynu ze stavov\375ch rovnic" }}{PARA 0 "" 0 "" {TEXT -1 297 "Ur\350ete tlak, kter\375 vykazuje 1 mol amoniaku v \+ n\341dob\354 o objemu V = 0,34 dm^3 p\370i teplot\354 325 \260C. Kriti ck\375 tlak amoniaku je pc = 11,35 MPa, kritick\341 teplota Tc = 405,5 K. V\375po\350et prove\357te s pou\236it\355m: \n a) \+ stavov\351 rovnice ide\341ln\355ho plynu, \n b) van de r Waalsovy rovnice," }}{PARA 0 "" 0 "" {TEXT -1 48 " c ) Redlichovy-Kwongovy rovnice\n" }}{PARA 0 "" 0 "" {TEXT -1 68 "Vztahy mezi pc,Tc a parametry a,b pro b) a c) odvo\357te pomoc\355 Maplu! " }}{PARA 0 "" 0 "" {TEXT -1 68 "[a) p(id) = 14,63 MPa b) p(vdW) = 12,7 6 MPa c) p(RK) = 12,99 MPa ]" }}{EXCHG {PARA 0 "" 0 "" {TEXT 200 0 " " }}{PARA 0 "> " 0 "" {MPLTEXT 1 0 9 "restart; " }}}{SECT 1 {PARA 4 " " 0 "" {TEXT -1 12 "Vstupn\355 data" }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 37 "R:=8.314; T:=273.15+325; Vm:=0.34e-3;" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"RG$\"%9$)!\"$" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"TG$\"&:)f!\"#" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%#VmG$\"#M!\" &" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}{PARA 0 "" 0 "" {TEXT -1 0 "" }}}{SECT 1 {PARA 4 "" 0 "" {TEXT -1 6 "\330e\232en\355" }}{SECT 1 {PARA 5 "" 0 "" {TEXT -1 15 "a) ide\341ln\355 plyn" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 10 "p: =R*T/Vm;" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"pG$\"+wEli9!\"#" }}} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}{PARA 5 "" 0 "" {TEXT -1 0 "" }}}{SECT 1 {PARA 5 "" 0 "" {TEXT -1 14 "b) vdW rovnice" }} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 9 "restart; " }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 21 "p:=R*T/(Vm-b)-a/Vm^2;" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"pG,&*(%\"RG\"\"\"%\"TGF(,&%#VmGF(%\"bG!\"\"F-F(*&% \"aGF(F+!\"#F-" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 15 "d1:=diff( p,Vm);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%#d1G,&*(%\"RG\"\"\"%\"TGF( ,&%#VmGF(%\"bG!\"\"!\"#F-*(\"\"#F(%\"aGF(F+!\"$F(" }}}{EXCHG {PARA 0 " > " 0 "" {MPLTEXT 1 0 16 "d2:=diff(d1,Vm);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%#d2G,&**\"\"#\"\"\"%\"RGF(%\"TGF(,&%#VmGF(%\"bG!\"\"! \"$F(*(\"\"'F(%\"aGF(F,!\"%F." }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 28 "rov1:=subs(Vm=Vc,T=Tc,d1=0);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6# >%%rov1G/,&*(%\"RG\"\"\"%#TcGF),&%#VcGF)%\"bG!\"\"!\"#F.*(\"\"#F)%\"aG F)F,!\"$F)\"\"!" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 28 "rov2:=su bs(Vm=Vc,T=Tc,d2=0);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%%rov2G/,&** \"\"#\"\"\"%\"RGF)%#TcGF),&%#VcGF)%\"bG!\"\"!\"$F)*(\"\"'F)%\"aGF)F-! \"%F/\"\"!" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 28 "rov3:=subs(Vm =Vc,T=Tc,p=pc);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%%rov3G/,&*(%\"RG \"\"\"%#TcGF),&%#VcGF)%\"bG!\"\"F.F)*&%\"aGF)F,!\"#F.%#pcG" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 41 "reseni:=solve(\{rov1,rov2,rov3\},\{ a,b,Vc\});" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%'reseniG<%/%#VcG,$*,\" \"$\"\"\"\"\")!\"\"%\"RGF+%#TcGF+%#pcGF-F+/%\"aG,$*,\"#FF+\"#kF-F0F-F. \"\"#F/F7F+/%\"bG,$**F,F-F.F+F/F+F0F-F+" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 15 "assign(reseni);" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 14 "T:=325+273.15;" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>% \"TG$\"&:)f!\"#" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 12 "Vm:=0.34 e-3;" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%#VmG$\"#M!\"&" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 33 "Tc:=405.5; pc:=11.35e6; R:=8.314;" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%#TcG$\"%bS!\"\"" }}{PARA 11 "" 1 " " {XPPMATH 20 "6#>%#pcG$\"%N6\"\"%" }}{PARA 11 "" 1 "" {XPPMATH 20 "6# >%\"RG$\"%9$)!\"$" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 2 "p;" }} {PARA 11 "" 1 "" {XPPMATH 20 "6#$\"+Nq]w7!\"#" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}{PARA 0 "" 0 "" {TEXT -1 0 "" }}}{SECT 1 {PARA 5 "" 0 "" {TEXT -1 13 "c) RK rovnice" }}{EXCHG {PARA 0 "> " 0 " " {MPLTEXT 1 0 65 "restart; R:=8.314; # timto m.j. donutime Maple prac ovat numericky" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"RG$\"%9$)!\"$" } }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 44 "with(RealDomain): # ignoruj komplexni koreny" }} {PARA 7 "" 1 "" {TEXT -1 318 "Warning, these protected names have been redefined and unprotected: Im, Re, ^, arccos, arccosh, arccot, arccot h, arccsc, arccsch, arcsec, arcsech, arcsin, arcsinh, arctan, arctanh, cos, cosh, cot, coth, csc, csch, eval, exp, expand, limit, ln, log, s ec, sech, signum, simplify, sin, sinh, solve, sqrt, surd, tan, tanh\n " }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 36 "p:=R*T/(Vm-b)-a/(sqrt(T )*Vm*(Vm+b));" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"pG,&*($\"%9$)!\"$ \"\"\"%\"TGF*,&%#VmGF*%\"bG!\"\"F/F***%\"aGF*F+#F/\"\"#F-F/,&F-F*F.F*F /F/" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 15 "d1:=diff(p,Vm);" }} {PARA 11 "" 1 "" {XPPMATH 20 "6#>%#d1G,(*($\"%9$)!\"$\"\"\"%\"TGF*,&%# VmGF*%\"bG!\"\"!\"#F/**%\"aGF*F+#F/\"\"#F-F0,&F-F*F.F*F/F***F2F*F+F3F- F/F5F0F*" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 16 "d2:=diff(d1,Vm) ;" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%#d2G,**($\"&Gm\"!\"$\"\"\"%\"TG F*,&%#VmGF*%\"bG!\"\"F)F**,\"\"#F*%\"aGF*F+#F/F1F-F),&F-F*F.F*F/F/*,F1 F*F2F*F+F3F-!\"#F4F6F/*,F1F*F2F*F+F3F-F/F4F)F/" }}}{EXCHG {PARA 0 "> \+ " 0 "" {MPLTEXT 1 0 28 "rov1:=subs(Vm=Vc,T=Tc,d1=0);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%%rov1G/,(*($\"%9$)!\"$\"\"\"%#TcGF+,&%#VcGF+%\"bG! \"\"!\"#F0**%\"aGF+F,#F0\"\"#F.F1,&F.F+F/F+F0F+**F3F+F,F4F.F0F6F1F+\" \"!" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 28 "rov2:=subs(Vm=Vc,T=T c,d2=0);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%%rov2G/,**($\"&Gm\"!\"$ \"\"\"%#TcGF+,&%#VcGF+%\"bG!\"\"F*F+*,\"\"#F+%\"aGF+F,#F0F2F.F*,&F.F+F /F+F0F0*,F2F+F3F+F,F4F.!\"#F5F7F0*,F2F+F3F+F,F4F.F0F5F*F0\"\"!" }}} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 28 "rov3:=subs(Vm=Vc,T=Tc,p=pc); " }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%%rov3G/,&*($\"%9$)!\"$\"\"\"%#Tc GF+,&%#VcGF+%\"bG!\"\"F0F+**%\"aGF+F,#F0\"\"#F.F0,&F.F+F/F+F0F0%#pcG" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 41 "reseni:=solve(\{rov1,rov2 ,rov3\},\{a,b,Vc\});" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%'reseniG<%/% #VcG,$*($\"+LLLrF!\"*\"\"\"%#TcGF-%#pcG!\"\"F-/%\"aG,$*($\"+[V&[&H!\") F-F.#\"\"&\"\"#F/F0F-/%\"bG,$*($\"+'pyK?(!#5F-F.F-F/F0F-" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 15 "assign(reseni);" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 14 "T:=325+273.15;" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"TG$\"&:)f!\"#" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 12 "Vm:=0.34e-3;" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%#Vm G$\"#M!\"&" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 23 "Tc:=405.5; pc :=11.35e6;" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%#TcG$\"%bS!\"\"" }} {PARA 11 "" 1 "" {XPPMATH 20 "6#>%#pcG$\"%N6\"\"%" }}}{EXCHG {PARA 0 " > " 0 "" {MPLTEXT 1 0 2 "p;" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#$\"+u^) *)H\"!\"#" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}{PARA 0 " " 0 "" {TEXT -1 0 "" }}}}}{SECT 1 {PARA 3 "" 0 "" {TEXT -1 47 "2.1.9 V \375po\350et objemu z van der Waalsovy rovnice" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 68 "Jak\375 objem zauj\355m \341 1 mol oktanu p\370i teplot\354 200\260C za tlaku 500 kPa?" }} {PARA 0 "" 0 "" {TEXT -1 126 "Vypo\350t\354te a porovnejte mol\341rn \355 objem z\355skan\375 pro tento p\370\355pad ze stavov\351 rovnice \+ ide\341ln\355ho plynu a z van der Waalsovy rovnice." }}{PARA 0 "" 0 " " {TEXT -1 0 "" }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 8 "restart;" } }}{SECT 1 {PARA 4 "" 0 "" {TEXT -1 12 "Vstupn\355 data" }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 49 "R:=8.314; T:=473.15; a:=3.787660; b :=2.373580e-4;" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"RG$\"%9$)!\"$" } }{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"TG$\"&:t%!\"#" }}{PARA 11 "" 1 " " {XPPMATH 20 "6#>%\"aG$\"(gwy$!\"'" }}{PARA 11 "" 1 "" {XPPMATH 20 "6 #>%\"bG$\"(!etB!#5" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}} {SECT 1 {PARA 4 "" 0 "" {TEXT -1 6 "\330e\232en\355" }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 21 "p:=R*T/(Vm-b)-a/Vm^2;" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"pG,&*&$\"*5pP$R!\"&\"\"\",&%#VmGF*$\"(!etB!#5!\"\"F 0F**&$\"(gwy$!\"'F*F,!\"#F0" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 26 "reseni:=solve(p=500e3,Vm);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%'r eseniG6%$\"+J'zX+%!#8$\"+>YV^jF($\"+vZHpq!#7" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 40 "plot(\{p,500e3\},Vm=0.00035..0.01,0..2e6);" }} {PARA 13 "" 1 "" {GLPLOT2D 453 453 453 {PLOTDATA 2 "6&-%'CURVESG6$7S7$ $\"3'**************\\$!#@$\"'++]\"\"!7$$\"3'GL$3x`U.cF*F+7$$\"3=m\"H2b /OV(F*F+7$$\"3gL$eRWK=\\*F*F+7$$\"3YL3xg.Pc6!#?F+7$$\"3u;z%HvsDO\"F:F+ 7$$\"3G$eRiw[Pb\"F:F+7$$\"33]ila/q^F:F+7$$\"3-]7 `Zx[g@F:F+7$$\"3)pmTq1%RqBF:F+7$$\"3YL3_n'z_b#F:F+7$$\"3Y+]ijqTjFF:F+7 $$\"3))**\\(=44C(HF:F+7$$\"3O+]PO;\"Q<$F:F+7$$\"3Y$e*[TWqcLF:F+7$$\"3% pmTln\"=uNF:F+7$$\"3/nm;@MTePF:F+7$$\"3))\\iSP(=F(RF:F+7$$\"3%fm;\\D:C ;%F:F+7$$\"3K]i!**RU0P%F:F+7$$\"3K](=(f'G(oXF:F+7$$\"3%o;H2B:bx%F:F+7$ $\"35)F:F+7$$\"3yLL$y1_AR)F:F+7$$\"3IK3xU1#pf)F:F+7$$\"3e;HdeW*)*z)F :F+7$$\"3K++D:jS')*)F:F+7$$\"3LnT&3&*p,?*F:F+7$$\"3cLL$[pi8R*F:F+7$$\" 3Y\\iSPS@&f*F:F+7$$\"3M]P4$yD.z*F:F+7$$\"3-+++++++5!#>F+-%'COLOURG6&%$ RGBG$\"#5!\"\"$F-F-Fau-F$6$7eo7$F($\"3_&Gjhp#3.S!#67$$\"37aQ.V?tlNF*$ \"3pP3:'o)*p?$Fhu7$$\"3z3x1'3k9j$F*$\"3us@Kh@Q^DFhu7$$\"3#Hc,\"Hh>(p$F *$\"3))3'*3+[`5?Fhu7$$\"31r#p^@g'GQ F*$\"3oK?\"Fhu7$$\"3KDJ?eAR%*QF*$\"33Ej%*)[l.#*)!#77$$\"3[zpB,V7 gRF*$\"3h&[ipv0cU'Fgw7$$\"3gL3FWj&e-%F*$\"3+z%))oD*3%Q%Fgw7$$\"3)=aQ.V ?t:%F*$\"3wPjKY9d$Q\"Fgw7$$\"39]iS;Xy)G%F*$!3;.G#HvH3D&!#87$$\"3TeRZ-' [-U%F*$!3iXb(y(Hu^;Fgw7$$\"3om;a)o7;\"Fgw7$$\"3?\"z%\\q,(41'F*$\"3AM c#fG2]d$Fgw7$$\"3_\\i!R'\\^=lF*$\"3'3_m$oyBldFgw7$$\"3'yq*Fgw7$$\"3!*\\PM(\\=FY)F*$\"3Cq6Pnsdr6F hu7$F5$\"3tMxhmSBA8Fhu7$$\"3Q$e*[B+)4+\"F:$\"3+XM%z797P\"Fhu7$$\"3SLLe -ox_5F:$\"3?!3a$*R6oS\"Fhu7$$\"3U$3x;etX5\"F:$\"3@keb%pi;V\"Fhu7$F8$\" 3#[7$[uV)yW\"Fhu7$$\"3F/^\")e4#z?\"F:$\"3wtrhRR9d9Fhu7$$\"35v$fobr%f7F :$\"3[\")Gt%y\")3Y\"Fhu7$$\"3\"fk.\\:A5J\"F:$\"3-\\.KO3=g9Fhu7$F<$\"37 v2%ym:fX\"Fhu7$$\"3!*\\Pff2;e9F:$\"3usB!z'e)3W\"Fhu7$F?$\"3!Q:$)o'yM>9 Fhu7$FB$\"3iG*\\w\"yGj8Fhu7$FE$\"3WG%Gxf^()H\"Fhu7$FH$\"3'pe9sEVSB\"Fh u7$FK$\"3Gg#f$=E5q6Fhu7$FN$\"3Pv%QH:Aq6\"Fhu7$FQ$\"31I6@^#z71\"Fhu7$FT $\"3^iJ+&fz&45Fhu7$FW$\"3M#zUlyXhj*Fgw7$FZ$\"3!Gb'*)\\cG\\#*Fgw7$Fgn$ \"3#o!pDY0,C))Fgw7$Fjn$\"3s!yy\\&)G2\\)Fgw7$F]o$\"3!>S\\(R.DJ\")Fgw7$F `o$\"3R:)ohMWg$yFgw7$Fco$\"3hi!Q8`GY`(Fgw7$Ffo$\"374'z6*[WnsFgw7$Fio$ \"3#y\")=%HwN2qFgw7$F\\p$\"3gw\\V$H%Fgw7$Fes$\"3yr1%*3E/0TFgw7$Fhs$\"3)3BGp,(>FS Fgw7$F[t$\"3`)ysc0/:%RFgw7$F^t$\"35!>:jCpy'QFgw7$Fat$\"3GStPV,J#z$Fgw7 $Fdt$\"30yBm&)ooAPFgw7$Fgt$\"3)=!3()yVk]OFgw-F[u6&F]uFauF^uFau-%+AXESL ABELSG6$Q#Vm6\"Q!Fifl-%%VIEWG6$;$\"#N!\"&$\"\"\"!\"#;Fau$\"\"#\"\"'" 1 2 0 1 10 0 2 9 1 4 2 1.000000 45.000000 45.000000 0 0 "Curve 1" "Cur ve 2" }}}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 16 "Vm:=max(reseni);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%#VmG$\"+vZHpq!#7" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 11 "Vmid=R*T/p;" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#/%%VmidG$\"+)>Qv'y!#7" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}{PARA 0 "" 0 "" {TEXT -1 0 "" }}}}{SECT 1 {PARA 3 "" 0 "" {TEXT -1 19 "Realistick\375 p\370\355klad" }}{PARA 0 "" 0 "" {TEXT 200 177 "V tlakov\351m z\341sobn\355ku o objemu 100 litr\371 je CO2. M anometr ukazuje tlak 29 bar, teplota je 0 \260C. Kolik CO2 (v kg) je m o\236n\351 ze z\341sobn\355ku odpustit? \330e\232te a porovnejte v\375 sledky podle" }}{PARA 0 "" 0 "" {TEXT 200 42 " a) stavov\351 ro vnice ide\341ln\355ho plynu" }}{PARA 0 "" 0 "" {TEXT 200 62 " b ) van der Waalsovy rovnice (Tc=304.2 K, pc=73.82 bar)" }}{PARA 0 "" 0 "" {TEXT 200 38 " c) Redlichovy-Kwongovy rovnice" }}{PARA 0 "" 0 "" {TEXT 200 61 " d) datab\341ze NIST (http://webbook.nist.go v/chemistry/)" }}{PARA 0 "" 0 "" {TEXT 200 48 "[a) 5.62 kg, b) 6.95 kg , c) 7.32 kg, d) 7.54 kg]" }}{PARA 0 "" 0 "" {TEXT 200 0 "" }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 8 "restart;" }{TEXT -1 0 "" }}}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{SECT 1 {PARA 4 "" 0 "" {TEXT -1 12 "Vstupn \355 data" }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 67 "R:=8.314; T:=0+ 273.15; M:=(12+2*16)*1e-3; pretlak:=29e5; V:=100e-3;" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}}{SECT 1 {PARA 4 "" 0 "" {TEXT -1 6 " \330e\232en\355" }}{SECT 1 {PARA 5 "" 0 "" {TEXT -1 15 "a) ide\341ln \355 plyn" }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 17 "n:=pretlak*V/R/ T;" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 7 "m:=M*n;" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}{PARA 0 "" 0 "" {TEXT -1 0 "" } }}{SECT 1 {PARA 5 "" 0 "" {TEXT -1 17 "b) van der Waals " }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 23 "Tc:=304.2; pc:=73.82e5;" }}}{EXCHG {PARA 0 "" 0 "" {TEXT 200 24 "Ignoruj komplexn\355 \370e\232en\355" }} {PARA 0 "> " 0 "" {MPLTEXT 1 0 17 "with(RealDomain):" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 37 "a:=27./64.*(R*Tc)^2/pc; b:=R*Tc/pc/8;" }} }{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 24 "pvdW:=R*T/(Vm-b)-a/Vm^2;" } }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 24 "p1:=1e5; p2:=p1+pretlak;" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 23 "Vm2:=solve(pvdW=p2,Vm);" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 14 "Vm2:=max(Vm2);" }}} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 23 "Vm1:=solve(pvdW=p1,Vm);" }}} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 15 "n:=V/Vm2-V/Vm1;" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 7 "m:=n*M;" }}}{EXCHG {PARA 0 "> " 0 " " {MPLTEXT 1 0 0 "" }}}{PARA 5 "" 0 "" {TEXT -1 0 "" }}}{SECT 1 {PARA 5 "" 0 "" {TEXT -1 16 "c) Redlich-Kwong" }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 64 "a:=1./9/(2.^(1./3)-1)*R^2*Tc^2.5/pc; b:=(2.^(1./3)-1) /3*R*Tc/pc;" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 36 "pRK:=R*T/(Vm -b)-a/sqrt(T)/Vm/(Vm+b);" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 24 "p1:=1e5; p2:=p1+pretlak;" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 22 "Vm2:=solve(pRK=p2,Vm);" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 14 "Vm2:=max(Vm2);" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 22 "Vm1:= solve(pRK=p1,Vm);" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 15 "n:=V/V m2-V/Vm1;" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 7 "m:=n*M;" }}} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}}{SECT 1 {PARA 5 "" 0 " " {TEXT -1 7 "d) NIST" }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 13 "rho 1:=1.9508;" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 13 "rho2:=77.335; " }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 17 "m:=(rho2-rho1)*V;" }}} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}{PARA 0 "" 0 "" {TEXT -1 0 "" }}}{PARA 0 "" 0 "" {TEXT -1 0 "" }}}}{SECT 1 {PARA 3 "" 0 "" {TEXT -1 40 "Ilustrace teoremu koresponduj\355c\355ch stav\371" }} {PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 151 "Diskutuj te z\341vislost kompresibilitn\355ho faktoru na redukovan\351m tlaku a redukovan\351 teplot\354. Pro popis stavov\351ho chov\341n\355 pou \236ijte van der Waalsovu rovnici" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 8 "restart;" }}}{SECT 1 {PARA 4 "" 0 "" {TEXT -1 6 "\330e\232en\355" }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 21 "p:=R*T/(Vm-b)-a/Vm^2;" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"pG,&*(%\"RG\"\"\"%\"TGF(,&%#VmGF(%\"bG!\"\"F-F(*&%\"aGF(F+! \"#F-" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 15 "d1:=diff(p,Vm);" } }{PARA 11 "" 1 "" {XPPMATH 20 "6#>%#d1G,&*(%\"RG\"\"\"%\"TGF(,&%#VmGF( %\"bG!\"\"!\"#F-*(\"\"#F(%\"aGF(F+!\"$F(" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 16 "d2:=diff(d1,Vm);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#> %#d2G,&**\"\"#\"\"\"%\"RGF(%\"TGF(,&%#VmGF(%\"bG!\"\"!\"$F(*(\"\"'F(% \"aGF(F,!\"%F." }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 26 "r1:=subs( Vm=Vc,T=Tc,d1=0);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%#r1G/,&*(%\"RG \"\"\"%#TcGF),&%#VcGF)%\"bG!\"\"!\"#F.*(\"\"#F)%\"aGF)F,!\"$F)\"\"!" } }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 26 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" }}{PARA 0 "" 0 "" {TEXT -1 87 "Koeficient stla\350itelnosti ethanolu m\341 za t\354ch to podm\355nek hodnotu 1,11.10^(-9) Pa^(-1)." }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 8 "restart;" }}} {SECT 1 {PARA 4 "" 0 "" {TEXT -1 12 "Vstupn\355 data" }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 27 "# M:=46e-3; # neni treba..." }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 64 "rho1:=0.789e3; Vm1:=M/rho1; kappa:= 1.11e-9; p1:=0.1e6; p2:=15e6;" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%%rh o1G$\"$*y\"\"!" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%$Vm1G,$*&$\"+BrUn7 !#7\"\"\"%\"MGF*F*" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%&kappaG$\"$6\" !#6" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%#p1G$\"\"\"\"\"&" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%#p2G$\"#:\"\"'" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}}{SECT 1 {PARA 4 "" 0 "" {TEXT -1 6 "\330e\232en \355" }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 32 "r:=kappa=-1/Vm(p)*di ff(Vm(p),p);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"rG/$\"$6\"!#6,$*&- %#VmG6#%\"pG!\"\"-%%diffG6$F+F.\"\"\"F/" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 29 "dsolve(\{r,Vm(p1)=Vm1\},Vm(p));" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#/-%#VmG6#%\"pG,$*&#\"+BrUn7\".++++++\"\"\"\"*(%\"MGF--% $expG6##!$6\"\"(+++\"!\"\"-F16#,$*(\"$6\"F-\"-+++++5F6F'F-F6F-F-F-" }} }{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 11 "Vm:=rhs(%);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%#VmG,$*&#\"+BrUn7\".++++++\"\"\"\"*(%\"MGF*-%$ex pG6##!$6\"\"(+++\"!\"\"-F.6#,$*(\"$6\"F*\"-+++++5F3%\"pGF*F3F*F*F*" }} }{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 6 "p:=p2;" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"pG$\"#:\"\"'" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 10 "rho:=M/Vm;" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%$rhoG,$*&$\"+Q #oC-)!\"(\"\"\"-%$expG6##!$6\"\"(+++\"F*F*" }}}{EXCHG {PARA 0 "> " 0 " " {MPLTEXT 1 0 14 "rho:=evalf(%);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#> %$rhoG$\"+%zx:-)!\"(" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }} }{PARA 0 "" 0 "" {TEXT -1 0 "" }}}}{SECT 1 {PARA 3 "" 0 "" {TEXT -1 48 "2.2.2 Tlak sm\354si pomoc\355 van der Waalsovy rovnice" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 161 "Pomoc\355 van de r Waalsovy rovnice vypo\350t\354te tlak sm\354si, kter\341 p\370i tepl ot\354 283 K obsahuje v 1163 cm^3 jeden mol sm\354si o slo\236en\355 5 0 mol.% methanu a 50 mol.% ethanu. " }}{PARA 0 "" 0 "" {TEXT -1 0 "" } }{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 8 "restart;" }}}{SECT 1 {PARA 4 "" 0 "" {TEXT -1 12 "Vstupn\355 data" }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 109 "R:=8.314; T:=283; Vm:=1163e-6; a1:=0.230262; b1:=4.3 0623e-5; a2:=0.557965; b2:=6.51280e-5; x1:=0.5; x2:=1-x1;" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"RG$\"%9$)!\"$" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"TG\"$$G" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%#VmG$\"%j6!\"' " }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%#a1G$\"'i-B!\"'" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%#b1G$\"'B1V!#5" }}{PARA 11 "" 1 "" {XPPMATH 20 " 6#>%#a2G$\"'lzb!\"'" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%#b2G$\"'!G^'! #5" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%#x1G$\"\"&!\"\"" }}{PARA 11 " " 1 "" {XPPMATH 20 "6#>%#x2G$\"\"&!\"\"" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}}{SECT 1 {PARA 4 "" 0 "" {TEXT -1 6 "\330e\232en \355" }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 32 "a:=(sqrt(a1)*x1+sqrt (a2)*x2)**2;" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"aG$\"+^)fFw$!#5" } }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 15 "b:=b1*x1+b2*x2;" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"bG$\"(:&4a!#6" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 21 "p:=R*T/(Vm-b)-a/Vm^2;" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"pG$\"+Q`fV=!\"$" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}{PARA 0 "" 0 "" {TEXT -1 0 "" }}}}{SECT 1 {PARA 3 "" 0 "" {TEXT -1 44 "2.2.3 V\375po\350et objemu pomoc\355 Amagatova \+ z\341kona" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 240 "Za pou\236it\355 Amagatova z\341kona vypo\350t\354te mol\341rn \355 objem sm\354si methanu (x1 = 0,4) a ethanu (x2 = 0,6) p\370i tepl ot\354 T=344,26 K a tlaku p=13,78 MPa. Kompresibilitn\355 faktory \+ \350ist\375ch l\341tek p\370i teplot\354 a tlaku syst\351mu jsou z1 = 0,9109, z2 = 0,4753. " }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 8 "restart;" }}}{SECT 1 {PARA 4 "" 0 " " {TEXT -1 12 "Vstupn\355 data" }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 75 "R:=8.314; x1:=0.4; x2:=1-x1; T:=344.26; p:=13.78e6; z1:=0.9109; \+ z2:=0.4753;" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}}{SECT 1 {PARA 4 "" 0 "" {TEXT -1 6 "\330e\232en\355" }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 14 "Vm1:=z1*R*T/p;" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 14 "Vm2:=z2*R*T/p;" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 18 "Vm:=x1*Vm1+x2*Vm2;" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}}}{SECT 1 {PARA 3 "" 0 "" {TEXT -1 27 "2.2.1 Viri\341ln\355 ro zvoj sm\354si" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 369 "P\370i teplot\354 298 K je hodnota druh\351ho viri\341ln \355 koeficientu methanu -44 cm3/mol a butanu -727 cm3/mol . Vypo\350 t\354te viri\341ln\355 koeficient sm\354si obsahuj\355c\355 20 mol.% m ethanu a 80 mol.% butanu. Za tlaku 1 MPa ur\350ete rovn\354\236 mol \341rn\355 objem t\351to sm\354si (uva\236ujte platnost objemov\351ho \+ viri\341ln\355ho rozvoje). P\370edpokl\341dejte, \236e sm\354s methanu s butanem se za t\354chto podm\355nek chov\341 ide\341ln\354." }} {PARA 0 "" 0 "" {TEXT -1 0 "" }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 8 "restart;" }}}{SECT 0 {PARA 4 "" 0 "" {TEXT -1 12 "Vstupn\355 data" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 25 "T:=298; p:=1e6; R:=8.314;" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>% \"TG\"$)H" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"pG$\"\"\"\"\"'" }} {PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"RG$\"%9$)!\"$" }}}{EXCHG {PARA 0 " > " 0 "" {MPLTEXT 1 0 0 "" }}}}{SECT 0 {PARA 4 "" 0 "" {TEXT -1 6 " \330e\232en\355" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{EXCHG {PARA 0 "> \+ " 0 "" {MPLTEXT 1 0 13 "z:=1+Bvir/Vm;" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"zG,&\"\"\"F&*&%%BvirGF&%#VmG!\"\"F&" }}}{EXCHG {PARA 0 "> " 0 " " {MPLTEXT 1 0 47 "Bvir:=sum(sum(x[i]*x[j]*B[i,j],i=1..k),j=1..k);" }} {PARA 11 "" 1 "" {XPPMATH 20 "6#>%%BvirG-%$sumG6$-F&6$*(&%\"xG6#%\"iG \"\"\"&F,6#%\"jGF/&%\"BG6$F.F2F//F.;F/%\"kG/F2F7" }}}{EXCHG {PARA 11 " " 1 "" {TEXT -1 0 "" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 5 "k:=2; " }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"kG\"\"#" }}}{EXCHG {PARA 0 "> \+ " 0 "" {MPLTEXT 1 0 5 "Bvir;" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#,**&)& %\"xG6#\"\"\"\"\"#F)&%\"BG6$F)F)F)F)*(&F'6#F*F)F&F)&F,6$F*F)F)F)*(F&F) F/F)&F,6$F)F*F)F)*&)F/F*F)&F,6$F*F*F)F)" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 16 "B[2,1]:=B[1,2]; " }}{PARA 11 "" 1 "" {XPPMATH 20 "6#> &%\"BG6$\"\"#\"\"\"&F%6$F(F'" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 5 "Bvir;" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#,(*&)&%\"xG6#\"\"\"\"\"# F)&%\"BG6$F)F)F)F)**F*F)F&F)&F'6#F*F)&F,6$F)F*F)F)*&)F/F*F)&F,6$F*F*F) F)" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 26 "B[1,2]:=(B[1,1]+B[2,2 ])/2;" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>&%\"BG6$\"\"\"\"\"#,&*&#F'F( F'&F%6$F'F'F'F'*&F+F'&F%6$F(F(F'F'" }}}{EXCHG {PARA 11 "" 1 "" {XPPMATH 20 "6#,(*&)&%\"xG6#\"\"\"\"\"#F)&%\"BG6$F)F)F)F)**F*F)&F'6#F* F)F&F),&*&#F)F*F)F+F)F)*&F3F)&F,6$F*F*F)F)F)F)*&)F/F*F)F5F)F)" }}} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 15 "simplify(Bvir);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#,**&)&%\"xG6#\"\"\"\"\"#F)&%\"BG6$F)F)F)F)*(&F' 6#F*F)F&F)F+F)F)*(F/F)F&F)&F,6$F*F*F)F)*&)F/F*F)F2F)F)" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 13 "x[2]:=1-x[1];" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>&%\"xG6#\"\"#,&\"\"\"F)&F%6#F)!\"\"" }}}{EXCHG {PARA 11 "" 1 "" {TEXT -1 0 "" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 57 " B[1,1]:=-44e-6; 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P\370i v\375po\350tu pou\236ijte: a) Amagat\371v z\341 kon, b) Redlichovu-Kwongovu rovnici.\nData: P\370i teplot\354 100 Ca t laku 27,6 MPa je kompresibilitn\355 faktor ethylenu z1 = 0,780 a oxidu uhli\350it\351ho z2 = 0,623. Zb\375vaj\355c\355 data vyhledejte v tab ulk\341ch. V\375slednou\nhodnotu porovnejte s experiment\341ln\354 zji \232t\354nou hustotou rho= 418 kg/m3." }}{PARA 0 "" 0 "" {TEXT -1 0 " " }}{PARA 0 "" 0 "" {TEXT -1 109 "Tabulky: http://www.vscht.cz/fch/pri kladnik/prikladnik/tab/crit.html nebo http://webbook.nist.gov/chemistr y/ " }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 8 "restart;" }}{PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}} {SECT 1 {PARA 4 "" 0 "" {TEXT -1 12 "Vstupn\355 data" }}{PARA 0 "" 0 " " {TEXT -1 0 "" }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 128 "x1:=0.584 ; x2:=1-0.584; T:=100+273.15; p:=27.6e6; z1:=0.780; z2:=0.623; R:=8.31 4; M1:=28.053e-3; M2:=44.0095e-3; M:=x1*M1+x2*M2;" }}}{EXCHG {PARA 256 "" 0 "" {TEXT -1 10 "Z tabulek:" }}{PARA 0 "" 0 "" {TEXT -1 0 "" } }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 54 "Tc1:=282.34; pc1:=5.039e6; \nTc2:= 304.17; pc2:=7.386e6;" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}}{SECT 1 {PARA 4 "" 0 "" {TEXT -1 6 "\330e\232en\355" }} {PARA 0 "" 0 "" {TEXT -1 0 "" }}{SECT 1 {PARA 5 "" 0 "" {TEXT -1 17 "a ) Amagat\371v z\341kon" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 29 "VmA:=x1*z1*R*T/p+x2*z2*R*T/p;" }}} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 12 "rhoA:=M/VmA;" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 30 "odchylkaA:=(rhoA-418)/418*100;" }}} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}}{SECT 1 {PARA 5 "" 0 " " {TEXT -1 30 "b) Redlichova-Kwongova rovnice" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 70 "a1:=1./9/(2. ^(1./3)-1)*R^2*Tc1^2.5/pc1; b1:=(2.^(1./3)-1)/3*R*Tc1/pc1;" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 70 "a2:=1./9/(2.^(1./3)-1)*R^2*Tc2^2.5/ pc2; b2:=(2.^(1./3)-1)/3*R*Tc2/pc2;" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 27 "a:=(a1^0.5*x1+a2^0.5*x2)^2;" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 15 "b:=x1*b1+x2*b2;" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 36 "pRK:=R*T/(Vm-b)-a/sqrt(T)/Vm/(Vm+b);" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 17 "with(RealDomain):" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 22 "VmRK:=solve(pRK=p,Vm);" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 11 "rhoRK:=M/%;" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 32 "odchylkaRK:=(rhoRK-418)/418*100;" }}}{EXCHG {PARA 0 " > " 0 "" {MPLTEXT 1 0 0 "" }}}}}}}{MARK "12" 0 }{VIEWOPTS 1 1 0 1 1 1803 1 1 1 1 }{PAGENUMBERS 0 1 2 33 1 1 }