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Dynamic Response of Thermometers
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Description
CHE 215 Process Measurements
Transcript
Experiment IV: Dynamic Response of Thermometers Course: CHE 215 Section: 01 Due: February 4, 2013 By: Observations Dynamic Response of Thermometer – Hot Boiling Water to Cold Water RTD1 RTD2 TC1 TC2 Time (s) Temperature (?C) Temperature (?C) Temperature (?C) Temperature (?C) 0 97.68902 98.47028 89.55642 82.67155 0.999 97.68902 98.47028 89.90067 81.98306 1.999 97.78668 98.56794 75.78668 107.4571 2.999 97.78668 98.47028 81.29458 97.47402 3.999 97.78668 98.56794 81.29458 86.11398 4.999 97.78668 98.56794 81.29458 39.27535 5.999 97.78668 98.56794 75.44244 24.81712 6.999 97.88434 98.56794 38.24262 19.30922 7.999 97.88434 98.56794 19.65347 15.52255 8.999 97.29839 98.6656 15.52255 12.08011 9.999 95.24757 98.56794 13.45708 9.326161 10.999 93.00145 97.10307 11.73587 7.949187 11.999 89.68108 92.4155 7.2607 13.80133 12.999 80.69657 80.89189 9.670405 6.22797 13.999 70.9247 69.94812 9.326161 5.195239 14.999 62.03784 60.57298 8.981918 4.506752 15.999 54.61585 53.05333 7.949187 4.850996 16.999 48.16434 46.60181 7.949187 4.162508 17.999 42.50019 41.13298 7.949187 3.474021 18.999 37.81262 36.2501 7.604944 2.785534 19.999 33.51568 32.34378 7.2607 2.441291 20.999 29.41405 28.1445 6.916457 2.097047 21.999 25.21477 24.52506 6.572213 1.40856 22.999 21.59533 21.10704 6.22797 1.40856 23.999 18.56794 17.982 6.22797 1.40856 24.999 15.93118 15.54055 6.572213 1.064317 25.999 13.78271 13.39208 6.572213 0.720073 26.999 11.82956 11.63424 6.916457 1.064317 27.999 10.16938 10.16938 6.916457 1.064317 28.999 8.802167 8.997482 6.22797 2.441291 29.999 7.630274 7.825589 6.572213 1.064317 30.999 6.751354 7.044327 6.572213 1.064317 31.999 5.970092 6.263065 6.572213 1.064317 32.999 5.18883 5.579462 6.572213 1.064317 33.999 4.602884 4.993515 6.572213 1.064317 34.999 4.114595 4.505226 6.572213 1.064317 35.999 3.821622 4.016938 6.572213 1.064317 36.999 3.333333 3.723964 6.572213 1.064317 37.999 3.04036 3.333333 6.572213 1.064317 38.999 2.747387 3.04036 6.572213 1.064317 39.999 2.552071 2.845045 6.572213 1.064317 40.999 2.454414 2.649729 6.572213 1.064317 41.999 2.259098 2.552071 6.572213 1.064317 42.999 2.16144 2.356756 6.572213 1.064317 43.999 1.966125 2.259098 6.572213 1.064317 44.999 1.868467 2.063783 6.572213 1.064317 45.999 1.77081 2.063783 6.572213 1.064317 46.999 1.575494 1.966125 6.572213 1.064317 47.999 1.477836 1.868467 6.572213 1.064317 48.999 1.380179 1.77081 6.572213 1.064317 49.999 1.380179 1.673152 6.572213 1.064317 50.999 1.282521 1.673152 6.572213 1.064317 51.999 1.282521 1.673152 6.572213 1.064317 52.999 1.184863 1.575494 6.22797 1.064317 53.999 1.184863 1.575494 6.572213 1.064317 54.999 1.184863 1.575494 6.572213 1.064317 55.999 1.087205 1.477836 6.572213 1.064317 56.999 1.087205 1.477836 6.572213 1.064317 57.999 0.989548 1.477836 6.572213 1.064317 58.999 0.989548 1.477836 2.785534 7.604944 59.999 0.989548 1.477836 6.572213 1.064317 60.999 0.989548 1.380179 6.572213 1.064317 61.999 0.989548 1.380179 6.572213 1.064317 62.999 0.89189 1.380179 6.572213 1.064317 63.999 0.89189 1.380179 6.572213 1.064317 64.999 0.89189 1.380179 3.474021 4.850996 65.999 0.89189 1.282521 6.22797 1.064317 66.999 0.794232 1.282521 6.572213 1.064317 67.999 0.794232 1.282521 6.572213 1.064317 68.999 0.794232 1.282521 6.572213 1.064317 69.999 0.794232 1.282521 6.572213 1.064317 70.999 0.794232 1.282521 6.572213 1.064317 71.999 0.794232 1.282521 6.572213 1.064317 72.999 0.794232 1.282521 6.572213 1.064317 74.005 0.696574 1.282521 6.572213 1.064317 74.999 0.696574 1.282521 6.572213 1.064317 75.999 0.696574 1.282521 6.572213 0.720073 77 0.696574 1.282521 6.572213 1.064317 77.999 0.696574 1.282521 6.572213 1.064317 78.999 0.696574 1.282521 6.572213 0.720073 79.999 0.696574 1.282521 6.22797 1.064317 80.999 0.696574 1.282521 6.572213 1.064317 81.999 0.696574 1.184863 6.572213 1.064317 82.999 0.696574 1.184863 6.572213 1.064317 83.999 0.696574 1.184863 6.572213 0.720073 84.999 0.696574 1.184863 6.572213 0.720073 85.999 0.696574 1.184863 6.572213 0.720073 86.999 0.696574 1.184863 6.572213 1.064317 87.999 0.696574 1.184863 6.572213 0.720073 88.999 0.696574 1.184863 6.572213 1.064317 89.999 0.696574 1.184863 6.572213 1.064317 90.999 0.696574 1.184863 6.22797 1.064317 92 0.696574 1.184863 6.572213 0.720073 92.999 0.696574 1.184863 6.572213 1.064317 93.999 0.696574 1.184863 6.572213 0.720073 94.999 0.696574 1.184863 6.572213 0.720073 95.999 0.696574 1.184863 6.572213 1.064317 96.999 0.696574 1.184863 6.572213 0.720073 97.999 0.696574 1.184863 6.572213 1.064317 98.999 0.696574 1.184863 6.22797 1.064317 100 0.696574 1.184863 6.22797 0.720073 101 0.696574 1.184863 6.22797 1.064317 101.999 0.696574 1.184863 6.22797 1.064317 102.999 0.598917 1.184863 6.572213 1.064317 103.999 0.696574 1.184863 6.572213 1.064317 104.999 0.696574 1.184863 6.22797 1.064317 105.999 0.598917 1.184863 6.572213 0.720073 106.999 0.598917 1.184863 6.22797 1.064317 107.999 0.598917 1.184863 6.572213 1.064317 108.999 0.696574 1.087205 6.572213 0.720073 109.999 0.696574 1.087205 6.22797 0.720073 110.999 0.696574 1.087205 6.572213 0.720073 112 0.598917 1.184863 6.22797 0.720073 113 0.696574 1.087205 6.22797 1.064317 114 0.598917 1.087205 6.22797 1.064317 115 0.696574 1.087205 6.22797 0.720073 116 0.598917 1.087205 6.22797 0.720073 117 0.598917 1.087205 6.22797 0.720073 118 0.598917 1.087205 6.22797 0.720073 119 0.598917 1.087205 6.22797 0.720073 120 0.598917 1.087205 6.572213 0.720073 121 0.598917 1.087205 6.572213 0.720073 122 0.598917 1.087205 6.22797 0.720073 123 0.598917 1.087205 6.572213 0.720073 124 0.598917 0.989548 6.572213 0.720073 125 0.598917 1.087205 6.22797 0.720073 126 0.598917 0.989548 6.22797 0.720073 127 0.598917 1.087205 6.22797 0.720073 128 0.598917 1.087205 6.22797 0.720073 129 0.598917 0.989548 6.22797 0.720073 130 0.598917 0.989548 6.22797 0.720073 131 0.598917 0.989548 6.22797 0.720073 132 0.598917 0.989548 6.22797 0.720073 133 0.598917 0.989548 6.22797 0.720073 134 0.501259 0.989548 6.22797 0.720073 135 0.598917 0.989548 6.22797 0.720073 136 0.501259 0.989548 6.22797 0.720073 137 0.501259 0.989548 6.22797 0.720073 138 0.501259 0.989548 6.22797 0.720073 139 0.501259 0.989548 6.22797 0.720073 140 0.501259 0.989548 6.22797 0.720073 141 0.501259 0.989548 6.22797 0.720073 142 0.501259 0.989548 6.22797 0.720073 143 0.501259 0.989548 6.22797 0.720073 144 0.501259 0.989548 6.22797 0.720073 145 0.501259 0.989548 6.22797 0.720073 146 0.501259 0.989548 6.22797 0.720073 147 0.501259 0.989548 6.22797 0.720073 148 0.501259 0.989548 6.22797 0.720073 149 0.501259 0.989548 6.22797 0.720073 150 0.501259 0.989548 6.22797 0.720073 151 0.501259 0.989548 6.22797 0.720073 152 0.501259 0.989548 6.22797 0.720073 153 0.501259 0.989548 6.22797 0.720073 154 0.501259 0.989548 6.22797 0.720073 155 0.501259 0.989548 6.22797 0.720073 156 0.501259 0.989548 6.22797 0.720073 157 0.501259 0.989548 6.22797 0.720073 158 0.501259 0.989548 6.22797 0.37583 159 0.403601 0.989548 6.22797 0.720073 160 0.501259 0.989548 6.22797 0.720073 161 0.501259 0.989548 6.22797 0.720073 162 0.501259 0.989548 6.22797 0.720073 163 0.403601 0.89189 6.22797 0.720073 164 0.403601 0.89189 6.22797 0.37583 165 0.403601 0.89189 6.22797 0.37583 166 0.403601 0.89189 6.22797 0.720073 167 0.403601 0.89189 6.22797 0.37583 168 0.403601 0.89189 6.22797 0.37583 169 0.403601 0.89189 6.22797 0.37583 170 0.403601 0.89189 6.22797 0.37583 171 0.403601 0.89189 6.22797 0.37583 172 0.501259 0.89189 5.883726 0.37583 173 0.403601 0.89189 6.22797 0.37583 174 0.403601 0.794232 6.22797 0.37583 175 0.403601 0.794232 6.22797 0.37583 176 0.403601 0.696574 6.22797 0.37583 177 0.403601 0.696574 6.22797 0.37583 178 0.403601 0.696574 5.883726 0.37583 179 0.403601 0.696574 5.539483 1.752804 180 0.403601 0.696574 2.441291 6.916457 181 0.403601 0.696574 6.22797 0.37583 182 0.305943 0.696574 5.883726 0.720073 183 0.305943 0.696574 6.22797 0.37583 184 0.305943 0.696574 5.883726 0.37583 185 0.305943 0.696574 5.883726 0.37583 186 0.305943 0.696574 6.22797 0.37583 187 0.305943 0.696574 6.22797 0.37583 188 0.305943 0.696574 5.883726 0.37583 189 0.305943 0.696574 6.22797 0.37583 190 0.208286 0.696574 6.22797 0.37583 191 0.208286 0.696574 5.883726 0.37583 192 0.208286 0.696574 5.883726 0.37583 193 0.208286 0.696574 5.883726 0.37583 194 0.208286 0.696574 5.883726 0.031586 195 0.208286 0.696574 5.883726 0.37583 196 0.208286 0.696574 5.883726 0.37583 197 0.208286 0.696574 5.883726 0.031586 198 0.208286 0.696574 5.883726 0.031586 199 0.208286 0.598917 5.883726 0.37583 200 0.208286 0.598917 5.883726 0.37583 201 0.208286 0.598917 5.883726 0.37583 202 0.208286 0.696574 5.883726 0.37583 203 0.208286 0.598917 5.883726 0.031586 204 0.208286 0.598917 5.883726 0.031586 205 0.208286 0.696574 6.22797 0.031586 206 0.208286 0.696574 5.883726 0.37583 207 0.208286 0.696574 5.883726 0.37583 208 0.208286 0.598917 5.883726 0.37583 209 0.208286 0.598917 5.883726 0.37583 210 0.208286 0.598917 6.22797 0.031586 211 0.208286 0.598917 6.22797 0.37583 212 0.208286 0.598917 5.883726 0.37583 213 0.208286 0.598917 5.883726 0.37583 214 0.208286 0.598917 6.22797 0.37583 215 0.208286 0.598917 5.883726 0.37583 216 0.208286 0.598917 6.22797 0.37583 217 0.208286 0.598917 5.883726 0.031586 218 0.110628 0.598917 5.883726 0.031586 219 0.208286 0.598917 5.883726 0.031586 220 0.110628 0.598917 5.883726 0.031586 221 0.110628 0.598917 5.883726 0.031586 222 0.110628 0.598917 5.883726 0.031586 223 0.110628 0.501259 5.883726 0.031586 224 0.110628 0.598917 5.883726 0.031586 225 0.110628 0.598917 5.883726 0.37583 226 0.110628 0.598917 5.883726 0.031586 227 0.110628 0.598917 5.883726 0.37583 228 0.110628 0.598917 5.883726 0.37583 229 0.110628 0.598917 5.883726 0.031586 230 0.110628 0.598917 5.883726 0.37583 231 0.208286 0.598917 5.883726 0.031586 232 0.110628 0.598917 5.883726 0.37583 233 0.110628 0.598917 5.883726 0.37583 234 0.110628 0.598917 6.22797 0.031586 235 0.110628 0.598917 5.883726 0.37583 236 0.110628 0.598917 5.883726 0.37583 237 0.110628 0.598917 5.883726 0.37583 238 0.110628 0.598917 5.883726 0.37583 239 0.110628 0.598917 5.883726 0.37583 240 0.110628 0.598917 6.22797 0.031586 241 0.110628 0.598917 5.883726 0.37583 242 0.110628 0.598917 6.22797 0.37583 243 0.110628 0.598917 5.883726 0.37583 244 0.110628 0.598917 5.883726 0.37583 245 0.110628 0.598917 5.883726 0.37583 246 0.208286 0.598917 5.883726 0.37583 247 0.110628 0.598917 5.883726 0.37583 248 0.110628 0.598917 5.883726 0.37583 249 0.110628 0.598917 6.22797 0.37583 250 0.208286 0.598917 5.883726 0.031586 251 0.110628 0.598917 5.883726 0.031586 252 0.110628 0.598917 5.883726 0.37583 253 0.208286 0.598917 5.883726 0.37583 254 0.110628 0.598917 5.883726 0.37583 255 0.110628 0.598917 6.22797 0.37583 256 0.110628 0.598917 6.22797 0.37583 257 0.110628 0.598917 5.883726 0.031586 258 0.110628 0.598917 5.883726 0.37583 259 0.110628 0.598917 5.883726 0.37583 260 0.110628 0.598917 6.22797 0.37583 Dynamic Response of Thermometer –Cold Water to Hot Boiling Water TC1 TC2 RTD1 RTD2 Time (s) Temperature (?C) Temperature (?C) Temperature (?C) Temperature (?C) 0 5.883726 -0.31266 -0.28611 0.208286 0.999 5.539483 0.031586 -0.28611 0.208286 1.999 5.883726 19.65347 -0.28611 0.208286 2.999 5.539483 54.44358 -0.28611 0.208286 3.999 5.883726 62.01694 -0.28611 0.208286 4.999 25.50561 69.93454 -0.28611 0.208286 5.999 56.85328 55.13207 -0.28611 0.208286 6.999 57.88602 67.52483 -0.38376 0.403601 7.999 68.55756 58.91875 -0.28611 0.501259 8.999 70.96727 60.98421 -0.09079 0.89189 9.999 73.03273 63.39391 0.110628 3.430991 10.999 76.13092 62.70543 0.403601 12.12253 11.999 69.24605 78.19638 1.087205 21.10704 12.999 68.55756 82.32731 2.845045 29.41405 13.999 66.83635 87.14671 8.899824 37.22667 14.999 73.72121 78.19638 16.61479 43.8674 15.999 69.59029 85.76975 24.62272 49.62921 16.999 75.78668 76.13092 32.14847 54.71351 17.999 72 83.70428 38.98451 59.20577 18.999 73.72121 81.29458 45.03929 62.91676 20 79.22911 72 50.22126 66.13947 20.999 85.4255 60.63997 54.71351 68.87389 21.999 80.95033 69.24605 58.81514 71.41299 22.999 80.26185 71.31152 62.23316 73.4638 23.999 77.5079 74.75394 65.16289 75.3254 24.999 76.13092 77.85214 67.89731 76.88792 26 73.37698 82.32731 70.14343 78.25514 26.999 72 86.80248 72.29191 79.42703 28 76.81941 75.09819 74.04974 80.50126 28.999 78.88487 73.72121 75.61837 81.47784 30 78.54063 73.72121 77.08324 82.2591 30.999 79.22911 73.03273 78.25514 83.04036 32 78.19638 74.40971 79.42703 83.52865 32.999 79.22911 73.72121 80.4036 84.11459 34 77.85214 75.78668 81.38018 84.60288 35 79.22911 73.37698 81.96613 85.09117 36 76.81941 77.16365 82.55207 85.4818 37 72.68848 85.4255 83.23567 85.77478 38 73.03273 84.73701 83.72396 86.06775 39 70.62302 88.86794 84.21225 86.26307 40 70.27879 89.55642 84.60288 86.55604 41 76.47517 79.22911 84.99352 86.75135 42 70.62302 88.86794 85.28649 86.94667 43 70.96727 88.17944 85.57946 87.14198 44 72.68848 86.11398 85.87244 87.23964 45 72 86.11398 86.16541 87.43496 46 72 86.45823 86.16541 87.43496 47 71.31152 88.17944 86.36073 87.53262 48 70.96727 88.52369 86.55604 87.72793 49 71.31152 88.17944 86.75135 87.72793 50 71.31152 87.49096 86.84901 87.82559 51 71.31152 87.83521 86.94667 87.82559 52 79.22911 74.06546 87.04433 88.02091 53 78.88487 74.06546 87.14198 88.02091 54 79.57336 72.68848 87.3373 88.11856 55 73.37698 84.04852 87.43496 88.21622 56 74.06546 83.70428 87.53262 88.21622 57 73.37698 85.08125 87.63027 88.31388 58 75.44244 81.63882 87.72793 88.31388 59 75.78668 81.29458 87.72793 88.41154 60 76.81941 79.57336 87.82559 88.41154 61 77.5079 78.19638 87.92325 88.50919 62 77.16365 79.57336 88.02091 88.60685 63 76.81941 80.26185 88.02091 88.60685 64 76.81941 79.57336 88.11856 88.60685 65 76.13092 80.60609 88.21622 88.70451 66 76.47517 79.57336 88.21622 88.80217 67 79.22911 75.09819 88.31388 88.80217 68 80.60609 73.03273 88.31388 88.89983 69 80.95033 73.03273 88.31388 88.89983 70 80.95033 72.68848 88.31388 88.99748 71 81.29458 72.34425 88.41154 88.99748 72 81.29458 72.68848 88.41154 88.99748 73 81.63882 73.03273 88.50919 88.99748 74 81.98306 72 88.60685 89.09514 75 81.98306 71.65575 88.60685 89.1928 76 81.98306 71.65575 88.60685 89.1928 77 81.98306 71.65575 88.60685 89.29046 78 81.98306 71.31152 88.60685 89.29046 79 81.98306 71.31152 88.70451 89.38812 80 81.98306 71.65575 88.80217 89.38812 81 81.98306 71.65575 88.80217 89.48577 82 82.32731 72 88.89983 89.48577 83 81.98306 71.65575 88.89983 89.48577 84 81.63882 73.03273 88.99748 89.48577 85 81.98306 73.03273 88.99748 89.48577 86 82.32731 72.34425 89.09514 89.48577 87 82.32731 72.34425 89.1928 89.48577 88 82.32731 72.34425 89.1928 89.48577 89 82.67155 72.34425 89.1928 89.48577 90 82.67155 72.34425 89.29046 89.58343 91 82.67155 72.34425 89.38812 89.58343 92 82.67155 72.34425 89.38812 89.68108 93 82.67155 72.34425 89.48577 89.68108 94 82.67155 72 89.48577 89.77875 95 82.67155 72.34425 89.48577 89.77875 96 82.67155 72.34425 89.48577 89.77875 97 82.67155 72.34425 89.48577 89.8764 98 82.67155 72.34425 89.48577 89.97406 99 83.01579 72.34425 89.48577 89.97406 100 83.01579 72.34425 89.48577 89.97406 101 83.01579 72 89.48577 90.07172 102 83.01579 72.34425 89.48577 90.07172 103 83.01579 72.34425 89.48577 90.07172 104 82.67155 73.03273 89.58343 90.16937 105 82.67155 73.03273 89.58343 90.16937 106 82.32731 73.03273 89.77875 90.26704 107 83.01579 72.68848 89.77875 90.36469 108 82.67155 73.03273 89.77875 90.36469 109 82.67155 73.03273 89.77875 90.36469 110 82.67155 74.06546 89.77875 90.36469 111 80.26185 79.22911 89.8764 90.36469 112 80.95033 77.16365 89.97406 90.46235 113 81.29458 76.81941 89.97406 90.46235 114 79.9176 78.54063 90.07172 90.46235 115 81.63882 76.13092 90.07172 90.56001 116 82.67155 73.72121 90.07172 90.56001 117 81.98306 75.44244 90.16937 90.56001 118 81.98306 75.09819 90.16937 90.56001 119 81.29458 76.47517 90.26704 90.56001 120 80.26185 78.19638 90.26704 90.56001 121 79.9176 79.9176 90.26704 90.65766 122 80.26185 79.9176 90.36469 90.65766 123 80.60609 79.22911 90.36469 90.65766 124 80.26185 79.57336 90.36469 90.75533 125 80.60609 78.88487 90.46235 90.75533 126 80.95033 77.85214 90.46235 90.85298 127 80.60609 78.88487 90.46235 90.85298 128 81.29458 76.81941 90.46235 90.75533 129 81.63882 76.81941 90.46235 90.85298 130 81.98306 76.47517 90.46235 90.85298 131 81.29458 77.16365 90.56001 90.85298 132 81.29458 77.5079 90.56001 90.95064 133 81.98306 76.81941 90.56001 91.04829 134 81.63882 77.5079 90.65766 91.04829 135 81.98306 77.16365 90.65766 91.14595 136 83.01579 75.44244 90.75533 91.14595 137 81.98306 77.5079 90.75533 91.24361 138 82.67155 75.09819 90.85298 91.34127 139 82.67155 75.44244 90.85298 91.34127 140 82.32731 76.13092 90.95064 91.34127 141 82.67155 76.13092 90.95064 91.34127 142 82.32731 76.13092 90.95064 91.43893 143 82.32731 76.81941 91.04829 91.43893 144 83.01579 75.78668 91.04829 91.43893 145 82.67155 76.47517 91.04829 91.53658 146 82.67155 76.81941 91.04829 91.53658 147 83.36004 75.44244 91.14595 91.63424 148 83.01579 76.13092 91.14595 91.7319 149 83.36004 75.78668 91.24361 91.7319 150 83.36004 75.44244 91.24361 91.7319 151 83.36004 75.78668 91.34127 91.82956 152 83.01579 76.47517 91.34127 91.82956 153 83.01579 76.81941 91.34127 91.82956 154 82.67155 76.81941 91.43893 91.92722 155 83.01579 77.16365 91.43893 91.92722 156 83.36004 76.81941 91.34127 91.92722 157 84.04852 75.44244 91.43893 92.02487 158 83.70428 76.47517 91.53658 92.02487 159 80.26185 83.01579 91.53658 92.02487 160 77.16365 87.83521 91.53658 92.12253 161 76.47517 88.52369 91.63424 92.22018 162 79.22911 85.08125 91.63424 92.31785 163 79.9176 83.70428 91.7319 92.31785 164 77.16365 88.17944 91.7319 92.31785 165 78.54063 86.11398 91.7319 92.31785 166 80.60609 82.67155 91.7319 92.31785 167 80.95033 82.32731 91.82956 92.4155 168 78.19638 86.11398 91.82956 92.4155 169 77.85214 87.14671 91.92722 92.51316 170 79.22911 85.76975 91.92722 92.51316 171 78.54063 86.45823 91.92722 92.61082 172 78.88487 86.11398 92.02487 92.61082 173 80.95033 82.32731 92.02487 92.61082 174 81.29458 82.32731 92.12253 92.61082 175 82.67155 79.9176 92.02487 92.70847 176 81.98306 80.95033 92.02487 92.70847 177 81.98306 81.29458 92.12253 92.80614 178 82.32731 80.60609 92.12253 92.80614 179 82.67155 80.26185 92.12253 92.80614 180.001 81.98306 81.63882 92.12253 92.90379 181.001 81.98306 81.29458 92.22018 92.90379 182 82.32731 80.60609 92.22018 92.90379 183 82.32731 80.95033 92.31785 93.00145 184.001 82.32731 81.29458 92.31785 93.09911 185 83.01579 79.9176 92.4155 93.09911 186 83.70428 79.22911 92.4155 93.09911 187 84.04852 78.88487 92.4155 93.19676 188 84.04852 78.19638 92.51316 93.19676 189 84.04852 78.54063 92.51316 93.19676 190 84.39277 78.19638 92.51316 93.19676 191.001 84.39277 77.5079 92.61082 93.29443 192 83.70428 79.22911 92.61082 93.29443 193 83.70428 79.22911 92.61082 93.39208 194 84.04852 78.54063 92.70847 93.39208 195.001 81.29458 83.70428 92.70847 93.48974 196 81.98306 82.67155 92.70847 93.48974 197 82.32731 82.32731 92.70847 93.48974 198.001 82.32731 82.32731 92.80614 93.5874 199.001 83.01579 81.29458 92.80614 93.5874 200.001 76.47517 92.31037 92.80614 93.5874 201.001 75.78668 94.03159 92.90379 93.68505 202.001 77.5079 92.65461 92.90379 93.68505 203.001 79.22911 88.17944 93.00145 93.68505 204.001 80.26185 86.80248 93.00145 93.78272 205.001 79.57336 87.49096 93.00145 93.78272 206.001 79.57336 88.52369 93.09911 93.78272 207.001 79.57336 88.17944 93.09911 93.88037 208.001 79.9176 87.83521 93.09911 93.88037 209.001 79.9176 87.49096 93.09911 93.88037 210.001 79.9176 87.49096 93.09911 93.88037 211.001 79.22911 88.86794 93.19676 93.88037 212.001 78.88487 89.55642 93.29443 93.88037 213.001 78.19638 89.90067 93.29443 93.88037 214.001 77.85214 90.2449 93.29443 93.88037 215.001 77.85214 91.96613 93.39208 93.97803 216.001 77.85214 91.27764 93.39208 93.97803 217.001 77.85214 91.62188 93.39208 93.97803 218.001 77.85214 90.9334 93.39208 94.07568 219.001 77.85214 90.9334 93.48974 94.07568 220.001 78.19638 90.9334 93.48974 94.07568 221.001 77.85214 91.27764 93.48974 94.07568 222.001 78.19638 91.27764 93.5874 94.07568 223.001 78.54063 91.27764 93.5874 94.07568 224.001 78.19638 91.27764 93.68505 94.17334 225.001 78.88487 90.9334 93.68505 94.17334 226.001 78.19638 91.27764 93.68505 94.271 227.001 78.19638 91.27764 93.68505 94.271 228.001 78.54063 90.9334 93.68505 94.271 229.001 78.54063 90.9334 93.68505 94.36866 230.001 78.54063 91.27764 93.78272 94.36866 231.001 78.54063 91.27764 93.78272 94.36866 232.001 78.88487 91.27764 93.88037 94.46632 233.001 78.54063 91.62188 93.88037 94.46632 234.001 78.54063 91.62188 93.97803 94.56397 235.001 78.88487 91.27764 93.97803 94.56397 236.001 78.54063 91.62188 93.97803 94.56397 237.001 78.88487 91.62188 94.07568 94.66163 238.001 78.88487 91.62188 94.07568 94.66163 239.001 78.88487 91.62188 94.07568 94.66163 240.001 78.88487 92.31037 94.07568 94.66163 241.001 78.88487 91.96613 94.07568 94.66163 242.001 78.88487 91.96613 94.17334 94.75929 243.001 78.88487 91.96613 94.17334 94.75929 244.001 78.88487 91.96613 94.271 94.75929 245.001 78.88487 92.31037 94.17334 94.85695 246.001 79.22911 92.31037 94.271 94.85695 247.001 79.22911 91.62188 94.271 94.85695 248.001 82.32731 85.76975 94.271 94.95461 249.001 82.32731 85.76975 94.271 94.95461 250.001 82.67155 85.76975 94.36866 94.95461 251.001 82.67155 85.76975 94.46632 94.95461 252.001 82.67155 85.76975 94.36866 95.05226 253.001 82.32731 86.45823 94.36866 95.05226 254.001 82.67155 86.45823 94.46632 95.05226 255.001 82.32731 86.45823 94.46632 95.05226 256.001 82.32731 86.45823 94.56397 95.05226 257.001 82.67155 86.11398 94.56397 95.05226 258.001 82.67155 86.11398 94.66163 95.05226 259.001 82.67155 86.11398 94.66163 95.05226 260.001 82.67155 86.11398 94.66163 95.05226 261.001 82.67155 86.11398 94.75929 95.05226 262.001 82.67155 86.11398 94.75929 95.14992 263.001 82.67155 86.45823 94.75929 95.24757 264.001 82.67155 86.45823 94.85695 95.24757 265.001 83.01579 86.45823 94.85695 95.24757 266.001 83.01579 86.45823 94.85695 95.34524 267.001 83.01579 86.45823 94.95461 95.34524 268.001 83.01579 86.45823 94.95461 95.44289 269.001 83.01579 86.45823 94.95461 95.44289 270.001 83.01579 86.45823 94.95461 95.54055 271.001 83.01579 86.45823 95.05226 95.54055 Dynamic Response of Thermometer –Room Air to Hot Air RTD1 RTD2 TC1 TC2 Time (s) Temperature (?C) Temperature (?C) Temperature (?C) Temperature (?C) 0 20.03281 21.40002 22.06317 23.0959 1 20.03281 21.40002 22.06317 23.0959 2 20.03281 21.40002 22.06317 22.75166 3 20.03281 21.40002 22.06317 23.0959 4 20.13047 21.40002 22.40742 23.0959 5 20.13047 21.49767 22.40742 23.0959 6 20.13047 21.49767 22.06317 23.0959 7 20.22812 21.69299 22.06317 23.44015 8 20.22812 21.8883 22.06317 24.12863 9 20.22812 22.27893 22.40742 24.12863 10 20.22812 22.57191 22.06317 24.81712 11 20.32578 22.96254 22.40742 25.50561 12 20.32578 23.45083 23.0959 26.1941 13 20.32578 23.84146 22.75166 25.16136 14 20.32578 24.23209 24.12863 27.22683 15 20.5211 24.62272 24.47288 27.57107 16 20.61875 25.01946 24.81712 27.91531 17 20.81407 25.50774 25.84985 27.91531 18 20.91173 25.89838 25.84985 28.6038 19 21.10704 26.28901 26.1941 28.94804 20 21.30236 26.67964 26.53834 29.29229 21 21.49767 26.97261 26.88258 29.63653 22 21.59533 27.36324 27.22683 29.98077 23 21.8883 27.85153 27.22683 30.32502 24 22.18128 28.1445 27.57107 30.66926 25 22.47425 28.43748 27.91531 31.0135 26 22.47425 28.73045 27.91531 31.0135 27 22.66957 28.92576 27.91531 31.0135 28 22.86488 29.21874 28.25956 29.98077 29 23.0602 29.51171 28.25956 30.66926 30 23.54849 29.80468 28.25956 30.32502 31 23.84146 30 28.6038 30.66926 32 24.13443 30.29297 28.94804 31.0135 33 24.62272 30.48829 29.29229 31.0135 34 25.01946 30.58595 29.29229 31.35775 35 25.50774 30.87892 29.63653 31.70199 36 25.89838 31.17189 29.98077 31.70199 37 26.28901 31.26955 30.32502 32.04623 38 26.58198 31.36721 30.66926 32.39048 39 27.16793 31.56252 30.66926 32.39048 40 27.4609 31.75784 30.66926 32.73472 41 27.75387 31.95316 31.0135 32.73472 42 28.1445 32.24613 31.0135 32.73472 43 28.53513 32.34378 31.0135 32.73472 44 28.82811 32.5391 31.35775 33.07896 45 29.02342 32.63676 31.35775 33.42321 46 29.3164 32.83207 31.70199 33.42321 47 29.60937 32.92973 31.70199 33.76745 48 29.90234 33.12505 31.70199 33.76745 49 30.09766 33.22271 32.04623 33.76745 50 30.39063 33.32036 32.04623 33.76745 51 30.6836 33.41802 32.04623 33.42321 52 30.87892 33.51568 32.04623 33.76745 53 31.07424 33.61334 32.04623 33.76745 54 31.26955 33.61334 32.04623 33.76745 55 31.46487 33.711 32.04623 33.76745 56 31.66018 33.80865 32.39048 33.76745 57 31.8555 33.90631 32.39048 34.11169 58 32.05081 34.00397 32.39048 33.76745 59 32.14847 34.00397 32.39048 34.11169 60 32.34378 34.19928 32.39048 34.11169 61 32.44144 34.19928 32.39048 34.11169 62 32.63676 34.19928 32.39048 34.45594 63 32.73442 34.29694 32.73472 34.45594 64 32.83207 34.29694 32.73472 34.45594 65 32.92973 34.3946 32.73472 34.45594 66 33.12505 34.49226 32.73472 34.45594 67 33.22271 34.49226 32.73472 34.45594 68 33.32036 34.58991 33.07896 34.45594 69 33.41802 34.68757 32.73472 34.45594 70 33.51568 34.68757 33.07896 34.80018 71 33.61334 34.78523 33.07896 34.80018 72 33.61334 34.78523 33.07896 35.14443 73 33.711 34.88289 33.07896 34.80018 74 33.711 34.88289 33.07896 35.14443 75 33.80865 34.98055 33.07896 35.14443 76 33.90631 35.0782 33.07896 35.14443 77 34.00397 35.0782 33.07896 35.14443 78 34.10162 35.0782 33.07896 35.14443 79 34.19928 35.17586 33.07896 35.48867 80 34.29694 35.27352 33.42321 35.48867 81 34.3946 35.37117 33.42321 35.83291 82 34.49226 35.37117 33.42321 35.83291 83 34.58991 35.46883 33.42321 35.83291 84 34.68757 35.56649 33.42321 35.83291 85 34.78523 35.56649 33.42321 35.83291 86 34.88289 35.66415 33.76745 35.83291 87 34.88289 35.66415 33.42321 35.83291 88 34.98055 35.66415 33.42321 35.83291 89 34.98055 35.76181 33.42321 35.83291 90 35.0782 35.76181 33.42321 35.83291 91 35.0782 35.76181 33.42321 35.83291 92 35.0782 35.76181 33.42321 35.83291 93 35.17586 35.85946 33.42321 35.83291 94 35.17586 35.85946 33.07896 35.83291 95 35.17586 35.85946 33.42321 35.83291 96 35.17586 35.85946 33.42321 35.83291 97 35.17586 35.85946 33.07896 35.83291 98 35.17586 35.85946 33.07896 35.83291 99 35.17586 35.85946 33.07896 35.83291 100 35.17586 35.95712 33.42321 35.83291 101 35.27352 35.85946 33.07896 35.83291 102 35.27352 35.95712 33.07896 35.83291 103 35.27352 35.95712 33.42321 35.83291 104 35.27352 35.95712 33.42321 35.83291 105 35.37117 35.95712 33.42321 36.17716 106 35.37117 35.95712 33.42321 35.83291 107 35.37117 35.95712 33.42321 35.83291 108 35.37117 35.95712 33.07896 35.83291 109 35.46883 35.85946 33.07896 36.17716 110 35.37117 35.95712 33.42321 35.83291 111 35.37117 35.95712 33.07896 35.83291 112 35.37117 35.95712 33.07896 36.17716 113 35.46883 35.95712 33.42321 35.83291 114 35.46883 35.95712 33.07896 35.83291 115 35.46883 35.95712 33.07896 35.83291 116 35.46883 35.95712 33.07896 36.17716 117 35.46883 35.95712 33.07896 35.83291 118 35.46883 35.95712 33.42321 35.83291 119 35.46883 35.95712 33.07896 35.83291 120 35.46883 35.95712 33.07896 35.83291 121 35.46883 35.95712 33.07896 35.83291 122 35.46883 35.95712 33.42321 35.83291 123 35.46883 35.95712 33.07896 36.17716 124 35.46883 35.95712 33.07896 35.83291 125 35.46883 35.95712 33.42321 35.83291 126 35.46883 35.95712 33.42321 35.83291 127 35.46883 35.95712 33.42321 35.83291 128 35.46883 35.95712 33.42321 36.17716 129 35.56649 35.95712 33.42321 36.17716 130 35.56649 35.95712 33.42321 36.17716 131 35.56649 35.95712 33.42321 35.83291 132 35.56649 35.95712 33.42321 35.83291 133 35.56649 35.95712 33.42321 35.83291 134 35.56649 35.95712 33.07896 35.83291 135 35.56649 35.95712 33.07896 35.83291 136 35.56649 35.95712 33.42321 35.83291 137 35.56649 35.95712 33.42321 35.83291 138 35.56649 35.95712 33.42321 35.83291 139 35.66415 35.95712 33.07896 35.83291 140 35.66415 35.95712 33.42321 35.83291 141 35.66415 35.95712 33.42321 35.83291 142 35.66415 35.95712 33.42321 36.17716 143 35.66415 35.95712 33.42321 36.17716 144 35.66415 35.95712 33.42321 35.83291 145 35.66415 35.95712 33.42321 35.83291 146 35.76181 35.95712 33.42321 35.83291 147 35.76181 35.95712 33.42321 36.17716 148 35.76181 36.05478 33.42321 35.83291 149 35.76181 36.05478 33.42321 36.17716 150 35.76181 36.05478 33.42321 36.17716 151 35.76181 36.05478 33.42321 36.17716 152 35.76181 36.15244 33.42321 36.17716 153 35.85946 36.05478 33.42321 36.17716 154.001 35.85946 36.15244 33.42321 36.17716 155.001 35.85946 36.05478 33.42321 36.17716 156.001 35.85946 36.15244 33.42321 36.17716 157.001 35.85946 36.15244 33.42321 36.17716 158.001 35.85946 36.15244 33.42321 36.17716 159.001 35.85946 36.05478 33.42321 36.17716 160.001 35.85946 36.15244 33.42321 36.17716 161.001 35.85946 36.15244 33.42321 36.17716 162.001 35.85946 36.15244 33.42321 36.17716 163.001 35.85946 36.15244 33.76745 36.17716 164.001 35.85946 36.15244 33.42321 36.17716 165.001 35.85946 36.15244 33.76745 36.17716 166.001 35.85946 36.15244 33.42321 36.17716 167.001 35.85946 36.15244 33.42321 36.17716 168.001 35.85946 36.15244 33.42321 36.17716 169.001 35.85946 36.15244 33.42321 36.17716 170.001 35.85946 36.15244 33.76745 36.17716 171.001 35.85946 36.15244 33.42321 36.17716 172.001 35.95712 36.15244 33.42321 36.17716 173.001 35.85946 36.15244 33.42321 36.17716 174.001 35.85946 36.15244 33.42321 36.17716 175.001 35.85946 36.15244 33.42321 36.17716 176.001 35.95712 36.15244 33.42321 36.17716 177.001 35.95712 36.15244 33.42321 36.17716 178.001 35.95712 36.15244 33.42321 36.17716 179.001 35.85946 36.15244 33.42321 36.17716 180.001 35.95712 36.15244 33.42321 36.17716 181.001 35.95712 36.2501 33.42321 36.17716 182.001 35.95712 36.15244 33.76745 36.17716 183.001 35.95712 36.15244 33.76745 36.17716 184.001 35.95712 36.15244 33.42321 36.17716 185.001 35.95712 36.2501 33.42321 36.17716 186.001 35.95712 36.15244 33.76745 36.17716 187.001 35.95712 36.2501 33.42321 36.17716 188.001 35.95712 36.2501 33.42321 36.17716 189.001 35.95712 36.2501 33.42321 36.17716 190.001 35.95712 36.2501 33.42321 36.17716 191.001 35.95712 36.2501 33.76745 36.17716 192.001 35.95712 36.2501 33.42321 36.5214 193.001 35.95712 36.2501 33.76745 36.17716 194.001 35.95712 36.2501 33.76745 36.17716 195.001 35.95712 36.2501 33.42321 36.17716 196.001 35.95712 36.2501 33.42321 36.17716 197.001 35.95712 36.2501 33.76745 36.17716 198.001 35.95712 36.2501 33.42321 36.5214 199.001 35.95712 36.2501 33.76745 36.5214 200.001 35.95712 36.2501 33.42321 36.5214 201.001 35.95712 36.2501 33.76745 36.5214 202.001 35.95712 36.2501 33.42321 36.17716 203.001 35.95712 36.34775 33.76745 36.5214 204.001 35.95712 36.34775 33.76745 36.5214 205.001 35.95712 36.34775 33.42321 36.5214 206.001 36.05478 36.34775 33.76745 36.5214 207.001 36.05478 36.34775 33.76745 36.5214 208.001 36.05478 36.34775 33.42321 36.5214 209.001 36.05478 36.34775 33.42321 36.17716 210.001 35.95712 36.34775 33.42321 36.5214 211.001 35.95712 36.34775 33.42321 36.5214 212.001 35.95712 36.34775 33.42321 36.5214 213.001 35.95712 36.34775 33.42321 36.5214 214.001 35.95712 36.34775 33.42321 36.17716 215.001 35.95712 36.34775 33.42321 36.5214 216.001 35.95712 36.34775 33.42321 36.17716 217.001 35.95712 36.34775 33.42321 36.5214 218.001 35.95712 36.34775 33.42321 36.5214 219.001 35.95712 36.2501 33.42321 36.5214 220.001 35.95712 36.34775 33.42321 36.5214 221.001 35.95712 36.2501 33.42321 36.5214 222.001 35.95712 36.2501 33.42321 36.5214 223.001 35.95712 36.2501 33.42321 36.5214 224.001 35.95712 36.34775 33.42321 36.17716 225.001 35.95712 36.2501 33.42321 36.5214 226.001 35.95712 36.2501 33.42321 36.5214 227.001 35.95712 36.2501 33.42321 36.5214 228.001 35.95712 36.2501 33.42321 36.17716 229.001 35.95712 36.2501 33.42321 36.5214 230.001 35.95712 36.2501 33.42321 36.5214 231.001 35.95712 36.2501 33.42321 36.5214 Calculations Dynamic Response of Thermometer – Hot Boiling Water to Cold Water In order to find the time constant, the order and the dead time for the RTD1 thermometer, the following was performed: ?T = Tfinal - Tinitial = 0.110628?C – 97.689018?C = -97.578390?C Ti =( 0.368*97.578390) + 0.110628?C ? 36.019476?C Linear interpolation to find time constant, ?: ? = (36.019476?C –33.515678?C) * [ (18.999 s – 19.999 s)/(37.812618?C – 33.515678?C) ] + 19.999s ? ? 19.416s Therefore, the time constant is approximately 19.416s. Judging from the graph and the time constant, this is a second order system. Judging from the graph and the data table, the dead time for this system is 9.999 seconds. In order to find the time constant, the order and the dead time for the RTD2 thermometer, the following was performed: ?T = Tfinal - Tinitial = 0.598917?C – 98.470284?C = - 97.871367?C Ti =( 0.368*97.871367) + 0.598917?C ? 36.615573?C Linear interpolation to find time constant, ?: ? = (36.615573?C –36.250095?C) * [ (18.000 s – 19.000 s)/( 41.132984 ?C –36.250095 ?C) ] + 19.000s ? ? 18.925s Therefore, the time constant is approximately 18.925s. Judging from the graph and the time constant, this is a second order system. Judging from the data table and the graph, the dead time for this system is 11.000 seconds. In order to find the time constant, the order and the dead time for the TC1 thermometer, the following was performed: ?T = Tfinal - Tinitial = 6.227970?C – 89.556419?C = - 83.328449?C Ti =( 0.368*83.328449) + 6.227970?C ? 36.892839?C Linear interpolation to find time constant, ?: ? = (36.892839?C –19.653467?C) * [ (6.999s –7.999s)/( 38.242619?C –19.653467?C) ] + 7.999s ? ? 7.072s Therefore, the time constant is approximately 7.072s. Judging from the graph and the time constant, this is a first order system. In order to find the time constant, the order and the dead time for the TC2 thermometer, the following was performed: ?T = Tfinal - Tinitial = 0.375830?C – 82.671547?C = - 82.295717?C Ti =( 0.368*82.295717) + 0.375830?C ? 30.660654?C Linear interpolation to find time constant, ?: ? = (30.660654?C –24.817122?C) * [ (5.000s –6.000s)/( 39.275349?C –24.817122?C) ] + 6.000s ? ? 5.596s Therefore, the time constant is approximately 5.596s. Judging from the graph and the time constant, this is a first order system.
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