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Boreskov Institute of Catalysis of the Siberian Branch of Russian ...

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PP-II-13where I Э , M 1Э , M 2Э , M 3Э , M 4Э – experimental values <strong>of</strong> <strong>the</strong> concentration <strong>of</strong> initiator andmonomers; I Р , M 1Р , M 2Р , M 3Р , М 4Р – rated values <strong>of</strong> <strong>the</strong> same components; i – <strong>the</strong> number <strong>of</strong><strong>the</strong> experiment.As an identification algorithm <strong>the</strong> "complex" <strong>of</strong> Box method [1] was applied, this methodbelongs to nongradient search methods and is noted for high efficiency while solving a largenumber <strong>of</strong> problems <strong>of</strong> nonlinear programming.The system (3) was integrated by <strong>the</strong> method <strong>of</strong> Runge-Kutt [2] having initial conditions:[I] 0 = 0,254 mol/l; [М 1 ] 0 = 1,58 mol /l; [М 2 ] 0 = 3,36 mol /l; [М 3 ] 0 = 2,12 mol /l; [М 4 ] 0 =0,64 mol /l.As a result <strong>of</strong> <strong>the</strong> calculations <strong>the</strong> following values <strong>of</strong> rate constants were obtained:1.−4k = 0,473⋅2.010−4k = 0,499 ⋅ 3.610k 4.−412= 0,516 ⋅10k−318= 0,220 ⋅105.−3k = 0,861⋅6.110−4k = 0,506 ⋅ 7.710k 8.−413= 0,515⋅10k−319= 0,483⋅109.−3k = 0,413⋅10.210−4k = 0,511⋅11.810k 12.−414= 0,499 ⋅10k−320= 0,358⋅1013.−3k = 0,537 ⋅ 14.310−4k = 0,510 ⋅ 15.910k 16.−415= 0,506 ⋅10k−321= 0,310 ⋅1017.−3k = 0,436 ⋅ 18.410k 19.−410= 0,498⋅10k 20.−416= 0,511⋅10k−222= 0,249 ⋅1021.−3k = 0,450 ⋅ 22.510k 23.−411= 0,508⋅10k 24.−417= 0,511⋅10The calculation <strong>of</strong> kinetic curves led to a good agreement with <strong>the</strong> experiment, at <strong>the</strong>same time <strong>the</strong> value <strong>of</strong> goodness <strong>of</strong> fit amounted to Q=0,0008.296

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