At the visible wavelengths of interest, these plates proved to be sufficiently transparent, although it was found necessary to collect a background scan of each well of the empty plate due to well-to-well variation. Oct 02, 2020 - Parallel Reaction - Chemical Kinetics Chemistry Notes | EduRev is made by best teachers of Chemistry. Acceptable fits to the model were obtained for all solvents (estimated errors <20%), with the exceptions of acetonitrile, isopropanol and DMSO. 0000002379 00000 n Download one of our product or special topic brochures here. After total times of 10, 30, 60, 120, 240, 480 and 1440 minutes, aliquots (50 μL) were withdrawn from each tube, diluted with DMF (200 μL) in a microplate row and scanned immediately. Spectra were subjected to singular value decomposition and globally fitted to a kinetic model in which the only coloured species were TPP and ZnTPP. Oftentimes, species \(\text{I}\) is the desired product. Our team provides you with useful videos about our microplate readers.
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The yields of chemical reactions may vary considerably with parameters such as solvent, catalyst, temperature and reaction time. x���n�6�=@���r�0")�Ң 3m�@��6@:}P|��ڒk�I�_��^Dɒ��yn|l��������a��c�R�eW5����7��ǧۛ��$�=mno��`Z�X&,������������ͯQ�.~cO����v#�-O��~���Z�B�\L�e�~�������?��HΘ�x�LQ��M������\��M 0000004413 00000 n \[\text{A} \overset{k_1}{\underset{k_{-1}}{\rightleftharpoons}} \text{I} \overset{k_2}{\rightarrow} \text{P}\], \[\dfrac{d \left[ \text{A} \right]}{dt} = k_1 \left[ \text{A} \right] + k_{-1} \left[ \text{I} \right] \label{21.16}\], \[\dfrac{d \left[ \text{I} \right]}{dt} = k_1 \left[ \text{A} \right] - k_{-1} \left[ \text{I} \right] - k_2 \left[ \text{I} \right] \label{21.17}\], \[\dfrac{ d \left[ \text{P} \right]}{dt} = k_2 \left[ \text{I} \right] \label{21.18}\], The exact solutions of these is straightforward, in principle, but rather involved, so we will just state the exact solutions, which are, \[\begin{align} \left[ \text{A} \right] \left( t \right) &= \dfrac{ \left[ \text{A} \right]_0}{2 \lambda} \left[ \left( \lambda - k_1 + K \right) e^{-\left( k_1 + K - \lambda \right) t/2} + \left( \lambda + k_1 - K \right) e^{-\left( k_1 + K + \lambda \right) t/2} \right] \\ \left[ \text{I} \right] \left( t \right) &= \dfrac{ k_1 \left[ \text{A} \right]_0}{\lambda} \left[ e^{- \left( k_1 + K - \lambda \right) t/2} - e^{-\left( k_1 + K + \lambda \right) t/2} \right] \\ \left[ \text{P} \right] \left( t \right) &= 2 k_1 k_2 \left[ \text{A} \right]_0 \left[ \dfrac{2}{\left( k_1 + K \right)^2 - \lambda^2} - \dfrac{1}{\lambda} \left( \dfrac{ e^{-\left( k_1 + K - \lambda \right) t/2}}{k_1 + K - \lambda} - \dfrac{e^{-\left( k_1 + K + \lambda \right) t/2}}{k_1 + K + \lambda} \right) \right] \end{align} \label{21.19}\], \[\begin{align} K &= k_2 + k_{-1} \\ \lambda &= \sqrt{\left( k_1 - K \right)^2 = 4k_1 k_{-1}} \end{align} \label{21.20}\]. 0000001742 00000 n H�b```�U�� ce`a� sw�`neY�����ٜ��(X�_}nJ\=�f������Y['T/jX.pm���-�n��K�)잤Z��(;���=O#K�OW�{�����>#�աJלm/�?ɵ�t��Jn���M���6m������� ˬD�ٮkq �Ĥ��� �CC# ,%ccS ��A�� ����u@���KI j�1PӃ@ ��(� ���X,����x��`��V�9< ��10�Hw��SE�@�3b�l)��[� �;�kH�J�ː��[J��!�@~ bo� 3h� endstream endobj 72 0 obj 308 endobj 53 0 obj << /Type /Page /Parent 40 0 R /Resources 54 0 R /Contents 62 0 R /MediaBox [ 0 0 595 842 ] /CropBox [ 0 0 595 842 ] /Rotate 0 >> endobj 54 0 obj << /ProcSet [ /PDF /Text ] /Font << /F1 59 0 R /TT2 55 0 R /TT4 56 0 R /TT6 63 0 R >> /ExtGState << /GS1 67 0 R >> /ColorSpace << /Cs8 61 0 R >> >> endobj 55 0 obj << /Type /Font /Subtype /TrueType /FirstChar 32 /LastChar 252 /Widths [ 295 0 461 0 0 0 0 0 332 332 0 885 332 332 332 332 498 498 498 498 498 498 498 498 498 498 332 332 0 885 0 0 0 719 627 682 0 627 590 719 738 332 0 0 627 904 738 0 572 0 664 535 627 738 0 940 719 719 646 332 0 332 0 0 0 442 498 442 498 442 332 498 498 276 276 498 276 774 498 498 498 498 369 387 276 498 498 719 498 498 442 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 498 ] /Encoding /WinAnsiEncoding /BaseFont /KDLKIG+CGTimes /FontDescriptor 57 0 R >> endobj 56 0 obj << /Type /Font /Subtype /TrueType /FirstChar 32 /LastChar 122 /Widths [ 295 0 0 0 0 0 0 0 332 332 0 0 332 332 332 0 0 498 498 498 0 498 0 0 0 0 0 0 0 0 0 0 0 719 0 719 719 664 608 774 774 387 0 774 664 940 719 774 608 774 719 553 664 719 0 0 0 719 0 0 0 0 0 0 0 498 553 442 553 442 351 498 553 276 0 0 276 830 553 498 553 0 442 387 332 553 498 719 498 498 442 ] /Encoding /WinAnsiEncoding /BaseFont /KDLKJE+CGTimes,Bold /FontDescriptor 60 0 R >> endobj 57 0 obj << /Type /FontDescriptor /Ascent 909 /CapHeight 0 /Descent -250 /Flags 34 /FontBBox [ -161 -250 1087 917 ] /FontName /KDLKIG+CGTimes /ItalicAngle 0 /StemV 0 /FontFile2 65 0 R >> endobj 58 0 obj << /Type /FontDescriptor /Ascent 629 /CapHeight 562 /Descent -157 /Flags 35 /FontBBox [ -28 -250 628 805 ] /FontName /KDLKFD+Courier /ItalicAngle 0 /StemV 51 /XHeight 426 /CharSet (/space) /FontFile3 66 0 R >> endobj 59 0 obj << /Type /Font /Subtype /Type1 /FirstChar 32 /LastChar 181 /Widths [ 600 600 600 600 600 600 600 600 600 600 600 600 600 600 600 600 600 600 600 600 600 600 600 600 600 600 600 600 600 600 600 600 600 600 600 600 600 600 600 600 600 600 600 600 600 600 600 600 600 600 600 600 600 600 600 600 600 600 600 600 600 600 600 600 600 600 600 600 600 600 600 600 600 600 600 600 600 600 600 600 600 600 600 600 600 600 600 600 600 600 600 600 600 600 600 600 600 600 600 600 600 600 600 600 600 600 600 600 600 600 600 600 600 600 600 600 600 600 600 600 600 600 600 600 600 600 600 600 600 600 600 600 600 600 600 600 600 600 600 600 600 600 600 600 600 600 600 600 600 600 ] /Encoding /WinAnsiEncoding /BaseFont /KDLKFD+Courier /FontDescriptor 58 0 R >> endobj 60 0 obj << /Type /FontDescriptor /Ascent 941 /CapHeight 0 /Descent -250 /Flags 34 /FontBBox [ -162 -250 1134 945 ] /FontName /KDLKJE+CGTimes,Bold /ItalicAngle 0 /StemV 133 /FontFile2 70 0 R >> endobj 61 0 obj [ /ICCBased 68 0 R ] endobj 62 0 obj << /Length 2497 /Filter /FlateDecode >> stream
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