Abstract:CHsCH=CHz+ HCI HCCk +OH RzNCH=CHz + HCI (CH3CHz)zO + BF3 CHz=COCHs + Brz NHs + H z 0 CH3CHO + OHCHsOCHzt + H z 0 CH3CHO + CN CH3COCH3 + Ht CHFCHZ + BrzThese examples were chosen to show that curved arrows always emanate from an e-pair; even though in the case of an n-pair, it may not be written in, the tail of an arrow follows the head of a previous arrow, and while the curved m w s mav be formallv correct. thev are drawn erronmusly lithe; do nor refl4r the chemical propcrtm of the reactants At the beginning o… Show more
“…The pH profile of the weak acid upon addition of alkali results in a typical weak acid-base titration curve containing buffering region (where, pH=pK a ) and equivalence point [8] , [2] , [3] . To predict the pH profile of a titration, an analytical equation that relates pH with the concentration of the alkali is necessary [9] . The derivation for such titrations are available in several literatures, text-books and online resources [10] (please refer supporting information).…”
Recently, dynamic approach has been applied to determine the steady state concentrations of multiple ionic species present in complex buffers at equilibrium. Here, we have used the dynamic approach to explicitly model the pH profiles of biologically relevant phosphate buffer and universal buffer (a mixture of three tri-protic acids such as citric acid, boric acid and phosphoric acid). The results from dynamic approach are identical to that of the conventional algebraic approach, but with an added advantage that the dynamic approach, allow for the modelling of complex buffer systems relatively easy compared to that of algebraic method.
“…The pH profile of the weak acid upon addition of alkali results in a typical weak acid-base titration curve containing buffering region (where, pH=pK a ) and equivalence point [8] , [2] , [3] . To predict the pH profile of a titration, an analytical equation that relates pH with the concentration of the alkali is necessary [9] . The derivation for such titrations are available in several literatures, text-books and online resources [10] (please refer supporting information).…”
Recently, dynamic approach has been applied to determine the steady state concentrations of multiple ionic species present in complex buffers at equilibrium. Here, we have used the dynamic approach to explicitly model the pH profiles of biologically relevant phosphate buffer and universal buffer (a mixture of three tri-protic acids such as citric acid, boric acid and phosphoric acid). The results from dynamic approach are identical to that of the conventional algebraic approach, but with an added advantage that the dynamic approach, allow for the modelling of complex buffer systems relatively easy compared to that of algebraic method.
“…Such a quantitative analysis relates a mathematical description and the use of computer software to the experimental data, and therefore, it may significantly improve the understanding of these topics. Graphical simulations of acid–base pH titrations, using a computer spreadsheet, and applications for educational purposes are available. − A theoretical description of titration curves, using a direct single closed-form expression without assumptions and segmentations (dissection of titration curve into two or more segments), is usually problematic since it involves solving a high-order polynomial. , Less complex approaches for data fitting have been proposed that are based on indirect methods using simplified assumptions or functions without direct physical significance. − However, to our knowledge, there are presently no simple tools for students that would combine graphical simulation, theoretical description, and data fitting for amino acid titrations.…”
A Microsoft Excel workbook has been
developed to simplify the quantitative
analysis of experimentally measured titration curves for diprotic
and triprotic amino acids such as glycine, arginine, histidine, and
glutamate. Students perform the titration, enter the data into the
worksheet, and manually adjust the resulting pK
a values to achieve the closest agreement between the experimental
and calculated titration curves. At the same time, the students can
observe changes in the speciation diagram that illustrates the transitions
of differently protonated molecular species during the titration.
Through a combination of graphical visualization and analysis, supported
by computer software, students learn the most important aspects of
the protonation equilibria of amino acid solutions. The knowledge
gained can serve as the basis for understanding the behavior of more
complex polyprotic acids in aqueous solution and the pK
a values of amino acid residues in proteins.
“…Such an exercise can also provide an opportunity to illustrate important concepts of mathematics that underpin chemistry and biochemistry. Over the past two decades, a number of reports have described the use of computer spreadsheets to provide educational models [3,4] or to enhance titration exercises by providing students with more powerful analyses of the trends and error in the data [5,6]. Other reports have focused on titration from a quantitative perspective and have included graphical analyses, such as the Gran Plot to let students clearly identify the equivalence point during the titration of monoprotic acids [7][8][9] or the Bjerrum Plot to estimate the pK a values of multiprotic acids [10].…”
mentioning
confidence: 99%
“…Most biochemistry textbooks feature a plot with volume or equivalents of strong base on the x axis and pH on the y axis [11][12][13][14][15][16][17], whereas at least two texts use pH on the x axis and the amount of strong base on the y axis [18,19]. Similarly, articles in the science education literature present titration plots with amount of strong base on the x axis [5,20] or pH on the x axis [21]. One interesting variation was to focus on "buffering capacity," the plotting of the first derivative of the buffering capacity (⌬ml base/⌬pH) as a function of pH [21].…”
We describe a simple undergraduate exercise involving the titration of a weak acid by a strong base using a pH meter and a micropipette. Students then use their data and carry out graphical analyses with a spreadsheet. The analyses involve using mathematical concepts such as first-derivative and semi-log plots and provide an opportunity for collaboration between biochemistry and mathematics instructors. By focusing on titration data, rather than the titration process, and using a variety of graphical transformations, we believe that students achieve a deeper understanding of the concept of buffering.
scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.