Answer Happy

= Many authors have developed empirical correlations to predict kla. In this project, we will use experimental data to fit different correlations to the measured kla and determine PG B 1. kịa = a a 2. kịa = a v2 NB3 DBA 3. kịa/(niQg/V.) = a(PG/ni/Qg) Qc = C. De ville = = 4. kya VL/D = apb1vB2 B2 5. k,a = a (a)") OG

Table 1. Experimental values of volumetric oxygen transfer coefficient, kla, as a function of bioreactor characteristics and operating variables. Run D, mm ni V, dm Po/V., W/m N, SH 8.33 Vs, mm/s 4.873 Qo, cm/s 198.956 kua, h 1544 1 228 2 8 2989 2 228 2 8.33 3.655 149.227 8 3212 1540 3 228 2 6.66 4.873 198.956 8 1582 1007 4 228 2 6.66 3.655 149.227 8 1700 924 5 228 2 6.66 2.437 99.498 8 1881 900 6 228 2 5.00 4.873 198.956 8 697 574 7 228 2 5.00 3.655 149.227 8 749 533 8 228 2 5.00 2.437 99.498 8 828 474 9 240 2 12.50 4.421 200.001 10 4304 2307 10 240 2 12.50 2.947 133.319 10 4763 1599 11 240 2 12.50 2.211 100.023 10 5118 1563 12 240 2 8.33 4.421 200.001 10 1355 796 13 240 2 8.33 2.947 133.319 10 1499 765 14 240 2 8.33 2.211 100.023 10 1611 615 15 240 2 4.16 4.421 200.001 10 187 166 16 240 2 4.16 2.947 133.319 10 208 132 17 240 2 4.16 2.211 100.023 10 223 114 18 315 1 12.83 6.230 485.511 30 1779 635 19 315 1 13.66 6.230 485.511 30 2129 757 20 315 1 17.50 6.230 485.511 30 4308 1284 21 525 2 7.50 3.850 833.430 80 6135 1345 22 525 2 6.66 5.390 1166.802 80 4032 1555 23 525 2 6.66 3.850 833.430 80 4385 1078 24 525 2 5.00 6.852 1483.289 80 1672 910 25 525 2 5.00 3.850 833.430 80 1931 655 26 525 2 3.33 3.850 833.430 80 608 269 27 525 2 3.33 2.310 500.058 80 691 202 28 525 2 1.66 3.850 833.430 80 84 71 29 1000 2 12.00 12.980 10194.468 1000 3778 1091 30 1000 2 12.00 9.268 7279.070 1000 4110 877 31 1000 2 12.00 5.561 4367.599 1000 4670 609

Run D, mm ni N, 81 Vs, mm/s Qo, cm/s VL, dm P/V, W/m kla, h1 32 1000 2 8.16 12.980 10194.468 1000 1261 467 33 1000 2 8.16 9.268 7279.070 1000 1372 423 34 1000 2 8.16 5.561 4367.599 1000 1559 222 35 1000 2 5.50 12.980 10194.468 1000 408 238 36 1000 2 5.50 9.268 7279.070 1000 444 177 37 1000 2 5.50 5.561 4367.599 1000 505 122 38 1000 2 10.00 1000 630 11.740 5.561 9220.574 4367.599 2647 3190 39 1000 2 10.00 1000 490 40 1000 2 8.16 11.740 9220.574 1000 1486 427 41 1000 2 5.50 11.740 9220.574 1000 481 131 42 1000 2 5.50 5.561 4367.599 1000 580 81 43 990 3 3.50 48.710 37495.435 2250 1172 568 44 990 3 2.08 48.710 37495.435 2250 266 232 45 990 3 2.08 24.350 18743.869 2250 316 155 46 990 3 2.08 14.610 11246.321 2250 359 120 47 990 3 3.50 48.710 2250 655 386 37495.435 18743.869 48 990 3 3.50 24.350 2250 779 217 49 990 3 3.50 14.610 11246.321 2250 885 173 50 990 3 2.08 48.710 37495.435 2250 148 203 51 990 3 2.08 24.350 18743.869 2250 176 122 Using linear regression techniques, you are required to: a. Find the appropriate values for constants a and B. of all five (5) correlations shown above. b. For all correlations you should present the ANOVA tables, residual plots and analyses that probe your best use and practice of Minitab. Present all of the above Minitab outputs in a single page for each correlation (total of 5 pages of Minitab analyses to shorten length of document). You can add extra pages for the results discussion. C. Your analysis must contain a procedure to statistically justify which of the five (5) correlations is the best to predict ka for all the bioreactors of the new pilot-plant. It is recommended to use some kind of tabulation to make your points easier to explain, such as: Correlation R ANOVA Results Residual Plot Results Etc. (You can devise a better format, table above is just a suggestion.)