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Michaelis–Menten kinetics for enzyme-catalysis: first-order in substrate (second-order overall) at low substrate concentrations, zero order in substrate (first-order overall) at higher substrate concentrations; and; the Lindemann mechanism for unimolecular reactions: second-order at low pressures, first-order at high pressures.
[A] can provide intuitive insight about the order of each of the reagents. If plots of v / [A] vs. [B] overlay for multiple experiments with different-excess, the data are consistent with a first-order dependence on [A]. The same could be said for a plot of v / [B] vs. [A]; overlay is consistent with a first-order dependence on [B].
The observed velocities predicted by the Michaelis–Menten equation can be used to directly model the time course disappearance of substrate and the production of product through incorporation of the Michaelis–Menten equation into the equation for first order chemical kinetics.
The plot of against has often been called a "Michaelis–Menten plot", even recently, [7] [8] [9] but this is misleading, because Michaelis and Menten did not use such a plot. Instead, they plotted v {\displaystyle v} against log a {\displaystyle \log a} , which has some advantages over the usual ways of plotting Michaelis–Menten data.
In chemical kinetics, an Arrhenius plot displays the logarithm of a reaction rate constant, ( (), ordinate axis) plotted against reciprocal of the temperature (/, abscissa). [1] Arrhenius plots are often used to analyze the effect of temperature on the rates of chemical reactions.
In this one-compartment model, the most common model of elimination is first order kinetics, where the elimination of the drug is directly proportional to the drug's concentration in the organism. This is often called linear pharmacokinetics , as the change in concentration over time can be expressed as a linear differential equation d C d t ...
In physical chemistry, the Arrhenius equation is a formula for the temperature dependence of reaction rates.The equation was proposed by Svante Arrhenius in 1889, based on the work of Dutch chemist Jacobus Henricus van 't Hoff who had noted in 1884 that the Van 't Hoff equation for the temperature dependence of equilibrium constants suggests such a formula for the rates of both forward and ...
From this plot, − Δ r H / R is the slope, and Δ r S / R is the intercept of the linear fit. By measuring the equilibrium constant, K eq, at different temperatures, the Van 't Hoff plot can be used to assess a reaction when temperature changes.