{"text_format":"1","workbook":"xlsx","n_sheets":3,"sheets":["例題23 １次元拡散球座標伴一次反応","球座標解析解","触媒有効係数"],"not_rendered":{"charts":6,"images":0,"macros":1,"external_links":0,"defined_names":0,"comments":1,"pivot_tables":0},"unopened":[],"bounds":{"document_bytes":16777216,"sheet_cells":100000,"rows_first":2000,"rows_last":500,"rows_between":2000,"halvings":0,"cell_chars":16384,"cell_head_chars":4096},"cells_cut":0,"cells_raw":0,"read":"whole","date_system":"1900"}

{"sheet":"例題23 １次元拡散球座標伴一次反応","index":0,"n_rows":53,"n_cols":20,"rows_kept":53,"cut":false,"hidden":false,"merged":[]}
["微分方程式数",2,null,null,null,"定数"]
["y=","cA","g",null,null,"k1=",2.6,"/s"]
[1.449999999999983E-3,6.1374473169105478E-2,7.5296510024288718E-9,null,null,"DAB=",6.9999999999999997E-7,"m2/s","a=Vp/Sp=R/3",{"$f":"G4/3","v":5.0000000000000001E-4}]
[null,"cA'=","g'=",null,null,"R=",1.5E-3,"m","Φ",{"$f":"(G2*J3^2/G3)^0.5","v":0.96362411165943151}]
["微分方程式→",{"$f":"-C3/(G4-A3)^2","v":-3.0118604009694954},{"$f":"-1*(G4-A3)^2*G2*B3/G3","v":-5.6990582228493947E-4}]
[]
["積分区間y=[a,",0]
["b]",1.4499999999999999E-3]
["積分刻み幅Δy",5.0000000000000002E-5,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"形状と濃度分布"]
["計算結果",null,null,null,null,null,null,null,null,"(dcA/dy)","4πR2DABcA'",null,null,null,null,null,null,"球","円柱","平板"]
["y[m]","cA[mol/m3]","g",null,null,null,"r[m]","r+-0.5Δr殻体積","mol",null,"mol/s",null,null,null,null,null,"y[m]","cA[mol/m3]","cA[mol/m3]","cA[mol/m3]"]
[0,0.19,5.4341999999999997E-4,null,null,"←初期値",{"$f":"$G$4-A12","v":1.5E-3},{"$f":"(3*3.14/4)*((G12)^3-(G12-$B$9/2)^3)","v":3.9081960937499998E-10},{"$f":"H12*B12","v":7.4255725781249992E-11},{"$f":"(B12-B13)/A13","v":232.20151121651321},{"$f":"J12*G3*4*G4^2*3.14","v":4.5934102948850653E-9},null,null,null,null,null,0,0.19,0.19,0.19]
[5.0000000000000002E-5,0.17838992443917434,4.6911167540806327E-4,null,null,null,{"$f":"$G$4-A13","v":1.4500000000000001E-3},{"$f":"(3*3.14/4)*((G13+$B$9/2)^3-(G13-$B$9/2)^3)","v":7.4278171875000168E-10},{"$f":"H13*B13","v":1.3250477468261285E-10},null,null,null,null,null,null,null,5.0000000000000002E-5,0.17838992443917434,0.17595817319952908,0.1727012155213824]
[1.000000000000001E-4,0.16766484368678244,4.0395782280435518E-4,null,null,null,1.4E-3,{"$f":"(3*3.14/4)*((G14+$B$9/2)^3-(G14-$B$9/2)^3)","v":6.9244359375000108E-10},1.1609844690800782E-10,null,null,null,null,null,null,null,1.000000000000001E-4,0.16766484368678244,0.16308439985590809,0.15700350901012972]
[1.5000000000000023E-4,0.15775863397032711,3.4690978529963018E-4,null,null,null,1.3499999999999999E-3,6.4387171875000155E-10,1.015763228021269E-10,null,null,null,null,null,null,null,1.5000000000000023E-4,0.15775863397032711,0.15128273114102575,0.14276135687432387]
[2.0000000000000036E-4,0.14861053726124634,2.9703451392325839E-4,null,null,null,1.2999999999999997E-3,5.9706609375000102E-10,8.8730312972661325E-11,null,null,null,null,null,null,null,2.0000000000000036E-4,0.14861053726124634,0.14046549521446283,0.12984272973514052]
[2.5000000000000049E-4,0.14016473706226337,2.5350216841479243E-4,null,null,null,1.2499999999999996E-3,5.5202671875000165E-10,7.7374679884938001E-11,null,null,null,null,null,null,null,2.5000000000000049E-4,0.14016473706226337,0.13055259710228562,0.11812786847177399]
[3.0000000000000062E-4,0.13236996978224505,2.1557501531650907E-4,null,null,null,1.1999999999999995E-3,5.0875359375000128E-10,6.7343697831296242E-11,null,null,null,null,null,null,null,3.0000000000000062E-4,0.13236996978224505,0.12147088010300361,0.10750817402262289]
[3.5000000000000076E-4,0.12517916880691771,1.8259748883027425E-4,null,null,null,1.1499999999999993E-3,4.6724671875000042E-10,5.8489555880884698E-11,null,null,null,null,null,null,null,3.5000000000000076E-4,0.12517916880691771,0.11315354343470775,9.7885200650901047E-2]
[4.0000000000000089E-4,0.11854913862204861,1.5398729354588298E-4,null,null,null,1.0999999999999992E-3,4.2750609375000021E-10,5.0680479169739282E-11,null,null,null,null,null,null,null,4.0000000000000089E-4,0.11854913862204861,0.10553961130482022,8.9169743342052493E-2]
[4.5000000000000102E-4,0.11244025657361036,1.2922744040444557E-4,null,null,null,1.0499999999999991E-3,3.8953171875000049E-10,4.3799046399809482E-11,null,null,null,null,null,null,null,4.5000000000000102E-4,0.11244025657361036,9.8573449009728462E-2,8.128101087304844E-2]
[5.0000000000000109E-4,0.10681620005885915,1.0785911826713838E-4,null,null,null,9.9999999999999894E-4,3.5332359374999957E-10,3.7740683675515035E-11,null,null,null,null,null,null,null,5.0000000000000109E-4,0.10681620005885915,9.2204322059063176E-2,7.4145876887918752E-2]
[5.5000000000000123E-4,0.10164369713491268,8.9475313340587072E-5,null,null,null,9.4999999999999881E-4,3.1888171874999852E-10,3.2412316842485257E-11,null,null,null,null,null,null,null,5.5000000000000123E-4,0.10164369713491268,8.6385994671208471E-2,6.7698202037085209E-2]
[6.0000000000000136E-4,9.6892298708974756E-2,7.3715097576696853E-5,null,null,null,8.9999999999999867E-4,2.8620609374999848E-10,2.7731166327953685E-11,null,null,null,null,null,null,null,6.0000000000000136E-4,9.6892298708974756E-2,8.1076364304856902E-2,6.1878220896922659E-2]
[6.5000000000000149E-4,9.2534170638474508E-2,6.0258515117009653E-5,null,null,null,8.4999999999999854E-4,2.5529671874999848E-10,2.3623670136254994E-11,null,null,null,null,null,null,null,6.5000000000000149E-4,9.2534170638474508E-2,7.6237129177279511E-2,5.6631987986585829E-2]
[7.0000000000000162E-4,8.8543904221791703E-2,4.8822002979608091E-5,null,null,null,7.9999999999999841E-4,2.2615359374999871E-10,2.0024522144413875E-11,null,null,null,null,null,null,null,7.0000000000000162E-4,8.8543904221791703E-2,7.1833485973529287E-2,5.1910877747073723E-2]
[7.5000000000000175E-4,8.4898343702893078E-2,3.9154288570960718E-5,null,null,null,7.4999999999999828E-4,1.9877671874999881E-10,1.6875814188570711E-11,null,null,null,null,null,null,null,7.5000000000000175E-4,8.4898343702893078E-2,6.7833855170288962E-2,4.7671133847838769E-2]
[8.0000000000000188E-4,8.1576429548606305E-2,3.1032712318374407E-5,null,null,null,6.9999999999999815E-4,1.7316609374999887E-10,1.4126271647004138E-11,null,null,null,null,null,null,null,8.0000000000000188E-4,8.1576429548606305E-2,6.4209631578749329E-2,4.3873463643625141E-2]
[8.5000000000000201E-4,7.8559056389038817E-2,2.4259928825835932E-5,null,null,null,6.4999999999999802E-4,1.4932171874999888E-10,1.1730573323389357E-11,null,null,null,null,null,null,null,8.5000000000000201E-4,7.8559056389038817E-2,6.0934957842742971E-2,4.0482674022878973E-2]
[9.0000000000000214E-4,7.5828944645785573E-2,1.8660944515143029E-5,null,null,null,5.9999999999999789E-4,1.2724359374999897E-10,9.6487474269994993E-12,null,null,null,null,null,null,null,9.0000000000000214E-4,7.5828944645785573E-2,5.7986518691592728E-2,3.7467345272896344E-2]
[9.5000000000000227E-4,7.3370525020044236E-2,1.4080453777341414E-5,null,null,null,5.4999999999999776E-4,1.0693171874999896E-10,7.8456363459831322E-12,null,null,null,null,null,null,null,9.5000000000000227E-4,7.3370525020044236E-2,5.5343353703105704E-2,3.4799539939420705E-2]
[1.0000000000000013E-3,7.1169835195640893E-2,1.0380439273014191E-5,null,null,null,4.9999999999999871E-4,8.8386093749999444E-11,6.2904237257739259E-12,null,null,null,null,null,null,null,1.0000000000000013E-3,7.1169835195640893E-2,5.298668610360676E-2,3.2454543982940266E-2]
[1.0499999999999993E-3,6.9214428378322243E-2,7.4380052252538443E-6,null,null,null,4.5000000000000075E-4,7.1606718750000258E-11,4.9562181063285571E-12,null,null,null,null,null,null,null,1.0499999999999993E-3,6.9214428378322243E-2,5.0899764558323998E-2,3.0410637833476327E-2]
[1.0999999999999972E-3,6.7493293755582329E-2,5.1434153829094574E-6,null,null,null,4.0000000000000278E-4,5.6593593750000818E-11,3.8196880476528931E-12,null,null,null,null,null,null,null,1.0999999999999972E-3,6.7493293755582329E-2,4.9067713634684429E-2,2.8648895222975475E-2]
[1.1499999999999952E-3,6.5996789910494236E-2,3.398309826454833E-6,null,null,null,3.5000000000000482E-4,4.3346718750001213E-11,2.8607442906531114E-12,null,null,null,null,null,null,null,1.1499999999999952E-3,6.5996789910494236E-2,4.7477385826146849E-2,2.7153007932092119E-2]
[1.1999999999999932E-3,6.4716594478251122E-2,2.1140769732279019E-6,null,null,null,3.0000000000000686E-4,3.1866093750001478E-11,2.0622650668247784E-12,null,null,null,null,null,null,null,1.1999999999999932E-3,6.4716594478251122E-2,4.6117201590099972E-2,2.5909134828565362E-2]
[1.2499999999999911E-3,6.3645679517314702E-2,1.2103590379713779E-6,null,null,null,2.500000000000089E-4,2.2151718750001581E-11,1.4098611923202917E-12,null,null,null,null,null,null,null,1.2499999999999911E-3,6.3645679517314702E-2,4.4976947758213044E-2,2.4905773799784588E-2]
[1.2999999999999891E-3,6.277834200919799E-2,6.136708404234946E-7,null,null,null,2.0000000000001093E-4,1.4203593750001551E-11,8.9167806619730436E-13,null,null,null,null,null,null,null,1.2999999999999891E-3,6.277834200919799E-2,4.4047459212161674E-2,2.4133655394593639E-2]
[1.3499999999999871E-3,6.2110398479212681E-2,2.561132430017362E-7,null,null,null,1.5000000000001297E-4,8.0217187500013801E-12,4.9823214805075759E-13,null,null,null,null,null,null,null,1.3499999999999871E-3,6.2110398479212681E-2,4.3319955869427107E-2,2.3585657190875003E-2]
[1.399999999999985E-3,6.1640090153121121E-2,7.4163664343065033E-8,null,null,null,1.0000000000001501E-4,3.6060937500010612E-12,2.2227994385067204E-13,null,null,null,null,null,null,null,1.399999999999985E-3,6.1640090153121121E-2,4.2784137335722297E-2,2.3256738097853735E-2]
[1.449999999999983E-3,6.1374618951140311E-2,7.5270611931754488E-9,null,null,null,5.0000000000017045E-5,{"$f":"(3*3.14/4)*((G41+$B$9/2)^3)","v":9.9351562500067743E-13},6.0976642906420587E-14,null,null,null,null,null,null,null,1.449999999999983E-3,6.1374618951140311E-2,4.241941357911333E-2,2.3143891987151478E-2]
[null,null,null,null,null,null,null,"球全体積=","全mol="]
[null,null,null,null,null,null,null,{"$f":"SUM(H12:H41)","v":7.9481250000000095E-9},{"$f":"SUM(I12:I41)","v":1.035684811602455E-9}]
[null,null,null,null,null,null,null,{"$f":"(3*3.14/4)*G4^3","v":7.9481249999999996E-9}]
[null,null,null,null,null,null,null,null,"cA~[mol/m3]="]
[null,null,null,null,null,null,null,null,{"$f":"I43/H43","v":0.13030555151088513}]
[null,null,null,null,null,null,null,null,"(4/3)πR^3k1cA~[mol/s]=",null,null,"表面濃度勾配からのη（普通の定義）"]
[null,null,null,null,null,null,null,null,{"$f":"(4/3)*3.14*G4^3*G2*I46","v":4.7871653514068984E-9},null,null,{"$f":"K12/I50","v":0.65806096296177841}]
[null,null,null,null,null,null,null,null,"(4/3)πR^3k1cAs[mol/s]=",null,null,"濃度積分値からのη"]
[null,null,null,null,null,null,null,null,{"$f":"(4/3)*3.14*G4^3*G2*B12","v":6.9802200000000001E-9},null,null,{"$f":"I48/I50","v":0.68581869216255342}]
[]
[null,null,null,null,null,null,null,null,"RAp[mol/m3-s]",null,null,"φ="]
[null,null,null,null,null,null,null,null,{"$f":"I46*G2","v":0.33879443392830133}]

{"sheet":"球座標解析解","index":1,"n_rows":15,"n_cols":4,"rows_kept":15,"cut":false,"hidden":false,"merged":[]}
["R",1.5E-3,"m"]
["k1",2.6,"/s"]
["DAB",6.9999999999999997E-7,"m2/s"]
["h",{"$f":"B1*SQRT(B2/B3)","v":2.8908723349782948}]
["ｃAｓ",0.19]
["r","cA/cA0","cA","y"]
[0]
[1E-4,{"$f":"($B$1/A8)*SINH($B$4*A8/$B$1)/SINH($B$4)","v":0.32403753295862903},{"$f":"B8*$B$5","v":6.1567131262139516E-2},{"$f":"$B$1-A8","v":1.4E-3}]
[2.9999999999999997E-4,{"$f":"($B$1/A9)*SINH($B$4*A9/$B$1)/SINH($B$4)","v":0.34028477683218877},{"$f":"B9*$B$5","v":6.4654107598115865E-2},{"$f":"$B$1-A9","v":1.2000000000000001E-3}]
[5.0000000000000001E-4,0.37424561101127285,7.1106666092141849E-2,1E-3]
[6.9999999999999999E-4,0.4290102768291344,8.1511952597535534E-2,8.0000000000000004E-4]
[8.9999999999999998E-4,0.50962643958178844,9.6829023520539806E-2,6.0000000000000006E-4]
[1.1000000000000001E-3,0.62364783088566622,0.11849308786827659,3.9999999999999996E-4]
[1.2999999999999999E-3,0.78196266325940778,0.14857290601928749,2.0000000000000009E-4]
[1.4E-3,0.88233144212767001,0.16764297400425732,1.0000000000000005E-4]

{"sheet":"触媒有効係数","index":2,"n_rows":76,"n_cols":21,"rows_kept":76,"cut":false,"hidden":false,"merged":[]}
[]
[null,null,"R=0.00075",null,"R=0.0015",null,"R=0.003",null,null,null,null,null,"R=0.00075",null,"R=0.0015",null,"R=0.003"]
[null,null,"y[m]","cA[mol/m3]","y[m]","cA[mol/m3]","y[m]","cA[mol/m3]"]
[null,null,0,0.19,0,0.19,0,0.19,null,null,null,null,7.5000000000000002E-4,0.19,1.5E-3,0.19,3.0000000000000001E-3,0.19,null,0,0]
[null,null,2.5000000000000001E-5,0.18620279700151987,5.0000000000000002E-5,0.17838992443917434,1E-4,0.16218640764539499,null,null,null,null,7.2500000000000006E-4,0.18620279700151987,1.4500000000000001E-3,0.17838992443917434,2.9000000000000002E-3,0.16218640764539499,null,0,0.22]
[null,null,5.000000000000005E-5,0.18258115318688037,1.000000000000001E-4,0.16766484368678244,2.000000000000002E-4,0.13860937506933976,null,null,null,null,6.9999999999999999E-4,0.18258115318688037,1.4E-3,0.16766484368678244,2.8E-3,0.13860937506933976]
[null,null,7.5000000000000115E-5,0.17912987597797694,1.5000000000000023E-4,0.15775863397032711,3.0000000000000046E-4,0.118611097386544,null,null,null,null,6.7499999999999993E-4,0.17912987597797694,1.3499999999999999E-3,0.15775863397032711,2.6999999999999997E-3,0.118611097386544]
[null,null,1.0000000000000018E-4,0.17584402973695173,2.0000000000000036E-4,0.14861053726124634,4.0000000000000072E-4,0.10163749264217928,null,null,null,null,6.4999999999999986E-4,0.17584402973695173,1.2999999999999997E-3,0.14861053726124634,2.5999999999999994E-3,0.10163749264217928]
[null,null,1.2500000000000025E-4,0.17271892784097445,2.5000000000000049E-4,0.14016473706226337,5.0000000000000099E-4,8.7221676069086498E-2,null,null,null,null,6.249999999999998E-4,0.17271892784097445,1.2499999999999996E-3,0.14016473706226337,2.4999999999999992E-3,8.7221676069086498E-2]
[null,null,1.5000000000000031E-4,0.16975012528391095,3.0000000000000062E-4,0.13236996978224505,6.0000000000000125E-4,7.4970091692402943E-2,null,null,null,null,5.9999999999999973E-4,0.16975012528391095,1.1999999999999995E-3,0.13236996978224505,2.3999999999999989E-3,7.4970091692402943E-2]
[null,null,1.7500000000000038E-4,0.16693341182179491,3.5000000000000076E-4,0.12517916880691771,7.0000000000000151E-4,6.4550871126763748E-2,null,null,null,null,5.7499999999999967E-4,0.16693341182179491,1.1499999999999993E-3,0.12517916880691771,2.2999999999999987E-3,6.4550871126763748E-2]
[null,null,2.0000000000000044E-4,0.16426480569116525,4.0000000000000089E-4,0.11854913862204861,8.0000000000000177E-4,5.5684059480451124E-2,null,null,null,null,5.499999999999996E-4,0.16426480569116525,1.0999999999999992E-3,0.11854913862204861,2.1999999999999984E-3,5.5684059480451124E-2]
[null,null,2.2500000000000051E-4,0.16174054794633722,4.5000000000000102E-4,0.11244025657361036,9.0000000000000204E-4,4.8133406880175811E-2,null,null,null,null,5.2499999999999953E-4,0.16174054794633722,1.0499999999999991E-3,0.11244025657361036,2.0999999999999981E-3,4.8133406880175811E-2]
[null,null,2.5000000000000055E-4,0.15935709748598062,5.0000000000000109E-4,0.10681620005885915,1.0000000000000022E-3,4.1699473144111543E-2,null,null,null,null,4.9999999999999947E-4,0.15935709748598062,9.9999999999999894E-4,0.10681620005885915,1.9999999999999979E-3,4.1699473144111543E-2]
[null,null,2.7500000000000061E-4,0.15711112687484161,5.5000000000000123E-4,0.10164369713491268,1.1000000000000025E-3,3.6213834132054062E-2,null,null,null,null,4.749999999999994E-4,0.15711112687484161,9.4999999999999881E-4,0.10164369713491268,1.8999999999999976E-3,3.6213834132054062E-2]
[null,null,3.0000000000000068E-4,0.15499951911927839,6.0000000000000136E-4,9.6892298708974756E-2,1.2000000000000027E-3,3.1534212601997333E-2,null,null,null,null,4.4999999999999934E-4,0.15499951911927839,8.9999999999999867E-4,9.6892298708974756E-2,1.7999999999999973E-3,3.1534212601997333E-2]
[null,null,3.2500000000000074E-4,0.15301936563571927,6.5000000000000149E-4,9.2534170638474508E-2,1.300000000000003E-3,2.7540385095138249E-2,null,null,null,null,4.2499999999999927E-4,0.15301936563571927,8.4999999999999854E-4,9.2534170638474508E-2,1.6999999999999971E-3,2.7540385095138249E-2]
[null,null,3.5000000000000081E-4,0.15116796577646166,7.0000000000000162E-4,8.8543904221791703E-2,1.4000000000000032E-3,2.4130740364964199E-2,null,null,null,null,3.9999999999999921E-4,0.15116796577646166,7.9999999999999841E-4,8.8543904221791703E-2,1.5999999999999968E-3,2.4130740364964199E-2]
[null,null,3.7500000000000088E-4,0.14944282847734583,7.5000000000000175E-4,8.4898343702893078E-2,1.5000000000000035E-3,2.1219384911689038E-2,null,null,null,null,3.7499999999999914E-4,0.14944282847734583,7.4999999999999828E-4,8.4898343702893078E-2,1.4999999999999966E-3,2.1219384911689038E-2]
[null,null,4.0000000000000094E-4,0.14784167692020755,8.0000000000000188E-4,8.1576429548606305E-2,1.6000000000000038E-3,1.8733707893502996E-2,null,null,null,null,3.4999999999999907E-4,0.14784167692020755,6.9999999999999815E-4,8.1576429548606305E-2,1.3999999999999963E-3,1.8733707893502996E-2]
[null,null,4.2500000000000101E-4,0.14636245765831635,8.5000000000000201E-4,7.8559056389038817E-2,1.700000000000004E-3,1.6612331544353019E-2,null,null,null,null,3.2499999999999901E-4,0.14636245765831635,6.4999999999999802E-4,7.8559056389038817E-2,1.299999999999996E-3,1.6612331544353019E-2]
[null,null,4.5000000000000107E-4,0.14500335662438829,9.0000000000000214E-4,7.5828944645785573E-2,1.8000000000000043E-3,1.4803384581856229E-2,null,null,null,null,2.9999999999999894E-4,0.14500335662438829,5.9999999999999789E-4,7.5828944645785573E-2,1.1999999999999958E-3,1.4803384581856229E-2]
[null,null,4.7500000000000114E-4,0.14376282620651037,9.5000000000000227E-4,7.3370525020044236E-2,1.9000000000000045E-3,1.3263045112123558E-2,null,null,null,null,2.7499999999999888E-4,0.14376282620651037,5.4999999999999776E-4,7.3370525020044236E-2,1.0999999999999955E-3,1.3263045112123558E-2]
[null,null,5.0000000000000066E-4,0.1426396309318726,1.0000000000000013E-3,7.1169835195640893E-2,2.0000000000000026E-3,1.1954306121669053E-2,null,null,null,null,2.4999999999999935E-4,0.1426396309318726,4.9999999999999871E-4,7.1169835195640893E-2,9.9999999999999742E-4,1.1954306121669053E-2]
[null,null,5.2499999999999964E-4,0.14163292600704908,1.0499999999999993E-3,6.9214428378322243E-2,2.0999999999999986E-3,1.0845920113042617E-2,null,null,null,null,2.2500000000000037E-4,0.14163292600704908,4.5000000000000075E-4,6.9214428378322243E-2,9.0000000000000149E-4,1.0845920113042617E-2]
[null,null,5.4999999999999862E-4,0.14074239721984877,1.0999999999999972E-3,6.7493293755582329E-2,2.1999999999999945E-3,9.9114777779283035E-3,null,null,null,null,2.0000000000000139E-4,0.14074239721984877,4.0000000000000278E-4,6.7493293755582329E-2,8.0000000000000557E-4,9.9114777779283035E-3]
[null,null,5.7499999999999761E-4,0.13996852329418316,1.1499999999999952E-3,6.5996789910494236E-2,2.2999999999999904E-3,9.1285632528076387E-3,null,null,null,null,1.7500000000000241E-4,0.13996852329418316,3.5000000000000482E-4,6.5996789910494236E-2,7.0000000000000964E-4,9.1285632528076387E-3]
[null,null,5.9999999999999659E-4,0.13931310325803145,1.1999999999999932E-3,6.4716594478251122E-2,2.3999999999999863E-3,8.4778893577496829E-3,null,null,null,null,1.5000000000000343E-4,0.13931310325803145,3.0000000000000686E-4,6.4716594478251122E-2,6.0000000000001372E-4,8.4778893577496829E-3]
[null,null,6.2499999999999557E-4,0.13878041950527059,1.2499999999999911E-3,6.3645679517314702E-2,2.4999999999999823E-3,7.9421983665315648E-3,null,null,null,null,1.2500000000000445E-4,0.13878041950527059,2.500000000000089E-4,6.3645679517314702E-2,5.0000000000001779E-4,7.9421983665315648E-3]
[null,null,6.4999999999999455E-4,0.13838014865455525,1.2999999999999891E-3,6.277834200919799E-2,2.5999999999999782E-3,7.504322277227503E-3,null,null,null,null,1.0000000000000547E-4,0.13838014865455525,2.0000000000001093E-4,6.277834200919799E-2,4.0000000000002187E-4,7.504322277227503E-3]
[null,null,6.7499999999999353E-4,0.13813609812665251,1.3499999999999871E-3,6.2110398479212681E-2,2.6999999999999741E-3,7.1422208962018336E-3,null,null,null,null,7.5000000000006485E-5,0.13813609812665251,1.5000000000001297E-4,6.2110398479212681E-2,3.0000000000002594E-4,7.1422208962018336E-3]
[null,null,6.9999999999999251E-4,0.13812115912986905,1.399999999999985E-3,6.1640090153121121E-2,2.79999999999997E-3,6.810139640494285E-3,null,null,null,null,5.0000000000007504E-5,0.13812115912986905,1.0000000000001501E-4,6.1640090153121121E-2,2.0000000000003001E-4,6.810139640494285E-3]
[null,null,7.2499999999999149E-4,0.1387020040272394,1.449999999999983E-3,6.1374618951140311E-2,2.899999999999966E-3,6.3082664061674181E-3,null,null,null,null,2.5000000000008522E-5,0.1387020040272394,5.0000000000017045E-5,6.1374618951140311E-2,1.0000000000003409E-4,6.3082664061674181E-3]
[null,null,null,null,null,null,null,null,null,null,null,null,-2.5000000000008522E-5,0.1387020040272394,-5.0000000000017045E-5,6.1374618951140311E-2,-1.0000000000003409E-4,6.3082664061674181E-3]
[null,"R",7.5000000000000002E-4,null,1.5E-3,null,3.0000000000000001E-3,null,null,null,null,null,-5.0000000000007504E-5,0.13812115912986905,-1.0000000000001501E-4,6.1640090153121121E-2,-2.0000000000003001E-4,6.810139640494285E-3]
[null,"k1",2.6,null,2.6,null,2.6,null,null,null,null,null,-7.5000000000006499E-5,0.13813609812665251,-1.50000000000013E-4,6.2110398479212681E-2,-3.0000000000002599E-4,7.1422208962018336E-3]
[null,"DAB",6.9999999999999997E-7,null,6.9999999999999997E-7,null,6.9999999999999997E-7,null,null,null,null,null,-1.0000000000000501E-4,0.13838014865455525,-2.0000000000001099E-4,6.277834200919799E-2,-4.0000000000002197E-4,7.504322277227503E-3]
["Thiele数","(R/3)√k1/D",{"$f":"(C35/3)*(C36/C37)^0.5","v":0.48181205582971581},null,{"$f":"(E35/3)*(E36/E37)^0.5","v":0.96362411165943163},null,{"$f":"(G35/3)*(G36/G37)^0.5","v":1.9272482233188633},null,null,null,null,null,-1.2500000000000399E-4,0.13878041950527059,-2.50000000000009E-4,6.3645679517314702E-2,-5.0000000000001801E-4,7.9421983665315648E-3]
[null,null,null,null,null,null,null,null,null,null,null,null,-1.50000000000004E-4,0.13931310325803145,-3.0000000000000702E-4,6.4775923709705571E-2,-6.0000000000001404E-4,8.4778893577496829E-3]
[null,"(dcA/dy)表面",null,null,232.20150000000001,null,278.13592354605009,null,null,null,null,null,-1.7500000000000301E-4,0.13996852329418316,-3.5000000000000498E-4,6.6087223236829598E-2,-7.0000000000000997E-4,9.1285632528076387E-3]
["4πR2DABcA'",null,null,null,4.5930000000000002E-9,null,2.201E-8,null,null,null,null,null,-2.0000000000000199E-4,0.14074239721984877,-4.00000000000003E-4,6.7603969916196868E-2,-8.0000000000000503E-4,9.9114777779283035E-3]
["(4/3)πR^3k1cAs[mol/s]=",null,null,null,6.9800000000000003E-9,null,5.5840000000000002E-8,null,null,null,null,null,-2.25000000000001E-4,0.14163292600704908,-4.5000000000000102E-4,6.9338288937610473E-2,-9.0000000000000095E-4,1.0845920113042617E-2]
[null,"η",0.86,null,{"$f":"E41/E42","v":0.65802292263610318},null,{"$f":"G41/G42","v":0.39416189111747851},null,null,null,null,null,-2.5000000000000001E-4,0.1426396309318726,-4.9999999999999903E-4,7.130207210884347E-2,-9.9999999999999699E-4,1.1954306121669053E-2]
[null,null,null,null,null,null,null,null,null,null,null,null,-2.7499999999999801E-4,0.14376282620651037,-5.49999999999997E-4,7.3507734421973642E-2,-1.0999999999999901E-3,1.3263045112123558E-2]
[null,null,null,null,null,null,null,null,null,null,null,null,-2.9999999999999802E-4,0.14500335662438829,-5.9999999999999496E-4,7.596863351301382E-2,-1.1999999999999899E-3,1.4803384581856229E-2]
[null,null,null,null,null,null,null,null,null,null,null,null,-3.24999999999997E-4,0.14636245765831635,-6.4999999999999303E-4,7.8699338970954505E-2,-1.29999999999998E-3,1.6612331544353019E-2]
[null,null,null,null,null,null,null,null,null,null,null,null,-3.4999999999999501E-4,0.14784167692020755,-6.9999999999999099E-4,8.1715832002571348E-2,-1.39999999999998E-3,1.8733707893502996E-2]
[null,null,null,null,null,null,null,null,null,null,null,null,-3.7499999999999502E-4,0.14944282847734583,-7.4999999999998798E-4,8.5035673422320948E-2,-1.4999999999999701E-3,2.1219384911689038E-2]
[null,null,null,null,null,null,null,null,null,null,null,null,-3.99999999999994E-4,0.15116796577646166,-7.9999999999998605E-4,8.867815937245041E-2,-1.5999999999999699E-3,2.4130740364964199E-2]
["触媒有効係数とシーレ数",null,null,null,null,null,null,null,null,null,null,null,-4.2499999999999201E-4,0.15301936563571927,-8.4999999999998401E-4,9.2664475489930689E-2,-1.69999999999996E-3,2.7540385095138249E-2]
["シーレ数","球",null,"平板",null,"円柱",null,null,null,null,null,null,-4.4999999999999202E-4,0.15499951911927839,-8.9999999999998198E-4,9.7017855941750428E-2,-1.7999999999999601E-3,3.1534212601997333E-2]
["φ","η",null,"η",null,"η",null,null,null,null,null,null,-4.74999999999991E-4,0.15711112687484161,-9.4999999999998005E-4,0.10176375154042228,-1.8999999999999601E-3,3.6213834132054062E-2]
[0.1,{"$f":"(1/A53)*(1/TANH(3*A53)-1/(3*A53))","v":0.99405096988407493},null,{"$f":"(1/A53)*TANH(A53)","v":0.99667994624955836},null,{"$f":"(1/A53)*BESSELI(2*A53,1)/BESSELI(2*A53,0)","v":0.99503310965534397},null,null,null,null,null,null,-4.9999999999999004E-4,0.15935709748598062,-9.999999999999779E-4,0.10693000998899911,-1.9999999999999502E-3,4.1699473144111543E-2]
[0.3,{"$f":"(1/A54)*(1/TANH(3*A54)-1/(3*A54))","v":0.94985380639633621},null,0.97104204150530304,null,0.95754273617634089,null,null,null,null,null,null,-5.2499999999998804E-4,0.16174054794633722,-1.04999999999998E-3,0.11254707069549263,-2.09999999999995E-3,4.8133406880175811E-2]
[0.5,0.87624945263169063,null,0.92423431452001958,null,0.89277994262214722,null,null,null,null,null,null,-5.49999999999988E-4,0.16426480569116525,-1.0999999999999799E-3,0.11864817629381169,-2.1999999999999399E-3,5.5684059480451124E-2]
[0.65,0.81307647749205514,null,0.87949225551556509,null,0.83487308014648109,null,null,null,null,null,null,-5.7499999999998698E-4,0.16693341182179491,-1.14999999999998E-3,0.1252696028840663,-2.2999999999999401E-3,6.4550871126763748E-2]
[0.8,{"$f":"(1/A57)*(1/TANH(3*A57)-1/(3*A57))","v":0.74991176116948322},null,0.83004596283481114,null,0.77487330607624705,null,null,null,null,null,null,-5.9999999999998596E-4,0.16975012528391095,-1.19999999999997E-3,0.13245091099044864,-2.3999999999999399E-3,7.4970091692402943E-2]
[1,0.67163648998035574,null,0.76159415595576485,null,0.69777465759773338,null,null,null,null,null,null,-6.2499999999998505E-4,0.17271892784097445,-1.2499999999999701E-3,0.14023521929189139,-2.4999999999999298E-3,8.7221676069086498E-2]
[1.3,0.57262273034680011,null,0.66286396870254338,null,0.59650041942151644,null,null,null,null,null,null,-6.4999999999998295E-4,0.17584402973695173,-1.29999999999997E-3,0.14866950328797729,-2.5999999999999301E-3,0.10163749264217928]
[1.5,0.51868308523311346,null,0.6034321690965776,null,0.53999019824026617,null,null,null,null,null,null,-6.7499999999998204E-4,0.17912987597797694,-1.3499999999999699E-3,0.15780492120811437,-2.6999999999999199E-3,0.118611097386544]
[2,0.41667281091677161,null,0.48201379003790851,null,0.43176129734496665,null,null,null,null,null,null,-6.9999999999998004E-4,0.18258115318688037,-1.3999999999999601E-3,0.16769716964915579,-2.7999999999999202E-3,0.13860937506933976]
[3,0.2962963064496163,null,0.33168491789557686,null,0.30411976773325861,null,null,null,null,null,null,-7.2499999999998E-4,0.18620279700151987,-1.44999999999996E-3,0.17840687163201641,-2.89999999999992E-3,0.16218640764539499]
[5,0.18666666666670412,null,0.19998184085251902,null,0.18971996393998164,null,null,null,null,null,null,-7.4999999999997898E-4,0.19,-1.4999999999999599E-3,0.19,-2.9999999999999099E-3,0.19]
[6.5,0.14595660749506903,null,0.15384545836175448,null,0.14780519591708033]
[8,0.11979166666666667,null,0.12499997186620949,null,0.12102846570980867]
[10,9.6666666666666679E-2,null,9.999999958776927E-2,null,9.7467033630734071E-2]
[30,3.2962962962962965E-2,null,3.3333333333333333E-2,null,3.3054405563732313E-2]
[50,1.9866666666666668E-2,null,0.02,null,1.9899767757646909E-2]
[80,1.2447916666666668E-2,null,1.2500000000000001E-2,null,1.246088737879107E-2]
[100,9.9666666666666671E-3,null,0.01,null,9.9749766767098531E-3]
[]
["例題23の条件の数値解"]
[null,"φ","η"]
["球",0.96,0.65800000000000003]
["円柱",1.45,0.53]
["平板",1.45,0.65]