modelling & simulation of isothermal batch reactor

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t0= 0 min ISOTHERMAL BATCH REACTOR- SERIES REACTION CA0= 0.8 mol/cu.m CB0= 0 mol/cu.m CC0= 0 mol/cu.m h= 0.5 min k1= 0.5 /min k2= 0.7 /min tn CAn CBn CCn dCA/dt dCB/dt dC/dt CA(n+1) CB(n+1) CC(n+1) 0 0.8 0 0 -0.4 0.4 0 0.6 0.2 0 0.5 0.6 0.2 0 -0.3 0.16 0.14 0.45 0.28 0.07 1 0.45 0.28 0.07 -0.225 0.029 0.196 0.3375 0.2945 0.168 1.5 0.3375 0.2945 0.168 -0.16875 -0.0374 0.20615 0.253125 0.2758 0.271075 2 0.253125 0.2758 0.271075 -0.1265625 -0.0664975 0.19306 0.18984375 0.24255125 0.367605 2.5 0.1898438 0.24255125 0.367605 -0.094921875 -0.074864 0.169785875 0.1423828125 0.20511925 0.452497938 3 0.1423828 0.20511925 0.452497938 -0.0711914063 -0.0723920688 0.143583475 ### 0.16892321563 0.524289675 3.5 0.1067871 0.16892322 0.524289675 -0.0533935547 -0.0648526963 0.11824625094 ### 0.1364968675 0.5834128 4 0.0800903 0.13649687 0.5834128 -0.040045166 -0.0555026412 0.09554780725 ### 0.10874554688 0.631186704 4.5 0.0600677 0.10874555 0.631186704 -0.0300338745 -0.0460880083 0.07612188282 ### 0.08570154273 0.669247646 5 0.0450508 0.08570154 0.669247646 -0.0225254059 -0.037465674 0.05999107991 ### 0.06696870572 0.699243185 5.5 0.0337881 0.06696871 0.699243185 -0.0168940544 -0.0299840396 0.046878094 ### 0.05197668592 0.722682232 6 0.0253411 0.05197669 0.722682232 -0.0126705408 -0.0237131393 0.03638368015 ### 0.04012011625 0.740874073 6.5 0.0190058 0.04012012 0.740874073 -0.0095029056 -0.0185811758 0.02808408138 ### 0.03082952837 0.754916113 7 0.0142544 0.03082953 0.754916113 -0.0071271792 -0.0144534907 0.02158066986 ### 0.02360278304 0.765706448 7.5 0.0106908 0.02360278 0.765706448 -0.0053453844 -0.0111765637 0.01652194813 ### 0.01801450118 0.773967422 8 0.0080181 0.0180145 0.773967422 -0.0040090383 -0.0086011125 0.01261015083 ### 0.01371394492 0.780272498 8.5 0.0060136 0.01371394 0.780272498 -0.0030067787 -0.0065929827 0.00959976144 ### 0.01041745356 0.785072378 9 0.0045102 0.01041745 0.785072378 -0.002255084 -0.0050371334 0.00729221749 ### 0.00789888684 0.788718487 9.5 0.0033826 0.00789889 0.788718487 -0.001691313 -0.0038379078 0.00552922079 ### 0.00597993296 0.791483097 10 0.002537 0.00597993 0.791483097 -0.0012684848 -0.0029174683 0.00418595307 ### 0.00452119881 0.793576074 10.5 0.0019027 0.0045212 0.793576074 -0.0009513636 -0.0022134756 0.00316483917 ### 0.00341446102 0.795158494 11 0.001427 0.00341446 0.795158494 -0.0007135227 -0.0016766 0.00239012271 ### 0.00257616101 0.796353555 11.5 0.0010703 0.00257616 0.796353555 -0.000535142 -0.0012681707 0.0018033127 ### 0.00194207566 0.797255211 12 0.0008027 0.00194208 0.797255211 -0.0004013565 -0.0009580965 0.00135945296 ### 0.00146302744 0.797934938 12.5 0.000602 0.00146303 0.797934938 -0.0003010174 -0.0007231018 0.0010241192 ### 0.00110147652 0.798446997 13 0.0004515 0.00110148 0.798446997 -0.000225763 -0.0005452705 0.00077103357 ### 0.00082884126 0.798832514 13.5 0.0003386 0.00082884 0.798832514 -0.0001693223 -0.0004108666 0.00058018888 ### 0.00062340796 0.799122609 14 0.000254 0.00062341 0.799122609 -0.0001269917 -0.0003093939 0.00043638557 ### 0.00046871103 0.799340801 14.5 0.0001905 0.00046871 0.799340801 -9.524378E-05 -0.0002328539 0.00032809772 ### 0.00035228406 0.79950485 15 0.0001429 0.00035228 0.79950485 -7.143284E-05 -0.000175166 0.00024659884 ### 0.00026470106 0.79962815 15.5 0.0001071 0.0002647 0.79962815 -5.357463E-05 -0.0001317161 0.00018529074 ### 0.000198843 0.799720795 16 8.036E-05 0.00019884 0.799720795 -4.018097E-05 -9.900913E-05 0.0001391901 ### 0.00014933844 0.79979039 16.5 6.027E-05 0.00014934 0.79979039 -3.013573E-05 -7.440118E-05 0.0001045369 ### 0.00011213785 0.799842659 17 4.52E-05 0.00011214 0.799842659 -2.26018E-05 -5.58947E-05 7.8496493E-05 ### 8.4190498E-05 0.799881907 17.5 3.39E-05 8.419E-05 0.799881907 -1.695135E-05 -4.1982E-05 5.8933349E-05 2.542702E-05 6.3199497E-05 0.799911373 18 2.543E-05 6.3199E-05 0.799911373 -1.271351E-05 -3.152614E-05 4.4239648E-05 ### 4.7436428E-05 0.799933493 18.5 1.907E-05 4.7436E-05 0.799933493 -9.535133E-06 -2.367037E-05 3.32055E-05 ### 3.5601245E-05 0.799950096 19 1.43E-05 3.5601E-05 0.799950096 -7.151349E-06 -1.776952E-05 2.4920871E-05 ### 2.6716484E-05 0.799962556 19.5 1.073E-05 2.6716E-05 0.799962556 -5.363512E-06 -1.333803E-05 1.8701539E-05 ### 2.004747E-05 0.799971907 20 8.045E-06 2.0047E-05 0.799971907 -4.022634E-06 -1.00106E-05 1.4033229E-05 ### 1.5042173E-05 0.799978924 0 5 10 15 20 25 0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 CA vs Time CB vs time CC vs time

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DESCRIPTION

This excel is an easy modelling and simulation for an Isothermal Series Batch Reactor.

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Page 1: Modelling & Simulation of Isothermal Batch Reactor

t0= 0 minISOTHERMAL BATCH REACTOR- SERIES REACTION

CA0= 0.8 mol/cu.m

CB0= 0 mol/cu.m

CC0= 0 mol/cu.m

h= 0.5 min

k1= 0.5 /min

k2= 0.7 /min

tn CAn CBn CCn dCA/dt dCB/dt dC/dt CA(n+1) CB(n+1) CC(n+1)0 0.8 0 0 -0.4 0.4 0 0.6 0.2 0

0.5 0.6 0.2 0 -0.3 0.16 0.14 0.45 0.28 0.071 0.45 0.28 0.07 -0.225 0.029 0.196 0.3375 0.2945 0.168

1.5 0.3375 0.2945 0.168 -0.16875 -0.0374 0.20615 0.253125 0.2758 0.2710752 0.25313 0.2758 0.271075 -0.1265625 -0.0664975 0.19306 0.1898438 0.24255125 0.367605

2.5 0.18984 0.24255 0.367605 -0.0949219 -0.074864 0.16978588 0.1423828 0.20511925 0.4524983 0.14238 0.20512 0.452498 -0.0711914 -0.0723921 0.14358348 0.1067871 0.16892322 0.52429

3.5 0.10679 0.16892 0.52429 -0.0533936 -0.0648527 0.11824625 0.0800903 0.13649687 0.5834134 0.08009 0.1365 0.583413 -0.0400452 -0.0555026 0.09554781 0.0600677 0.10874555 0.631187

4.5 0.06007 0.10875 0.631187 -0.0300339 -0.046088 0.07612188 0.0450508 0.08570154 0.6692485 0.04505 0.0857 0.669248 -0.0225254 -0.0374657 0.05999108 0.0337881 0.06696871 0.699243

5.5 0.03379 0.06697 0.699243 -0.0168941 -0.029984 0.04687809 0.0253411 0.05197669 0.7226826 0.02534 0.05198 0.722682 -0.0126705 -0.0237131 0.03638368 0.0190058 0.04012012 0.740874

6.5 0.01901 0.04012 0.740874 -0.0095029 -0.0185812 0.02808408 0.0142544 0.03082953 0.7549167 0.01425 0.03083 0.754916 -0.0071272 -0.0144535 0.02158067 0.0106908 0.02360278 0.765706

7.5 0.01069 0.0236 0.765706 -0.0053454 -0.0111766 0.01652195 0.0080181 0.0180145 0.7739678 0.00802 0.01801 0.773967 -0.004009 -0.0086011 0.01261015 0.0060136 0.01371394 0.780272

8.5 0.00601 0.01371 0.780272 -0.0030068 -0.006593 0.00959976 0.0045102 0.01041745 0.7850729 0.00451 0.01042 0.785072 -0.0022551 -0.0050371 0.00729222 0.0033826 0.00789889 0.788718

9.5 0.00338 0.0079 0.788718 -0.0016913 -0.0038379 0.00552922 0.002537 0.00597993 0.79148310 0.00254 0.00598 0.791483 -0.0012685 -0.0029175 0.00418595 0.0019027 0.0045212 0.793576

10.5 0.0019 0.00452 0.793576 -0.0009514 -0.0022135 0.00316484 0.001427 0.00341446 0.79515811 0.00143 0.00341 0.795158 -0.0007135 -0.0016766 0.00239012 0.0010703 0.00257616 0.796354

11.5 0.00107 0.00258 0.796354 -0.0005351 -0.0012682 0.00180331 0.0008027 0.00194208 0.79725512 0.0008 0.00194 0.797255 -0.0004014 -0.0009581 0.00135945 0.000602 0.00146303 0.797935

12.5 0.0006 0.00146 0.797935 -0.000301 -0.0007231 0.00102412 0.0004515 0.00110148 0.79844713 0.00045 0.0011 0.798447 -0.0002258 -0.0005453 0.00077103 0.0003386 0.00082884 0.798833

13.5 0.00034 0.00083 0.798833 -0.0001693 -0.0004109 0.00058019 0.000254 0.00062341 0.79912314 0.00025 0.00062 0.799123 -0.000127 -0.0003094 0.00043639 0.0001905 0.00046871 0.799341

14.5 0.00019 0.00047 0.799341 -9.5244E-05 -0.0002329 0.0003281 0.0001429 0.00035228 0.79950515 0.00014 0.00035 0.799505 -7.1433E-05 -0.0001752 0.0002466 0.0001071 0.0002647 0.799628

15.5 0.00011 0.00026 0.799628 -5.3575E-05 -0.0001317 0.00018529 8.0362E-05 0.00019884 0.79972116 8E-05 0.0002 0.799721 -4.0181E-05 -9.901E-05 0.00013919 6.0271E-05 0.00014934 0.79979

16.5 6E-05 0.00015 0.79979 -3.0136E-05 -7.44E-05 0.00010454 4.5204E-05 0.00011214 0.79984317 4.5E-05 0.00011 0.799843 -2.2602E-05 -5.589E-05 7.8496E-05 3.3903E-05 8.419E-05 0.799882

17.5 3.4E-05 8.4E-05 0.799882 -1.6951E-05 -4.198E-05 5.8933E-05 2.5427E-05 6.3199E-05 0.79991118 2.5E-05 6.3E-05 0.799911 -1.2714E-05 -3.153E-05 4.424E-05 1.907E-05 4.7436E-05 0.799933

18.5 1.9E-05 4.7E-05 0.799933 -9.5351E-06 -2.367E-05 3.3205E-05 1.4303E-05 3.5601E-05 0.7999519 1.4E-05 3.6E-05 0.79995 -7.1513E-06 -1.777E-05 2.4921E-05 1.0727E-05 2.6716E-05 0.799963

19.5 1.1E-05 2.7E-05 0.799963 -5.3635E-06 -1.334E-05 1.8702E-05 8.0453E-06 2.0047E-05 0.79997220 8E-06 2E-05 0.799972 -4.0226E-06 -1.001E-05 1.4033E-05 6.034E-06 1.5042E-05 0.799979

0 5 10 15 20 250

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0.3

0.4

0.5

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0.7

0.8

0.9

CA vs TimeCB vs timeCC vs time