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Derive an integrated rate equation for the velocity constant of a zero order reaction?
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Integrated Rate Equation for Zero Order Reaction


Zero order reactions are those in which the rate of reaction is independent of the concentration of the reactant. The rate constant for a zero order reaction is defined as the rate of disappearance of the reactant per unit time.


Determination of Rate Constant


The rate constant for a zero order reaction can be determined experimentally by measuring the concentration of the reactant at different times and then plotting a graph of concentration versus time. The slope of this graph gives the rate of disappearance of the reactant. The rate constant (k) is then calculated using the equation:


k = - slope/intercept


Integrated Rate Equation


The integrated rate equation for a zero order reaction can be derived as follows:


[A]t = [A]0 - kt


where [A]t is the concentration of the reactant at time t, [A]0 is the initial concentration of the reactant, and k is the rate constant.


Rearranging the equation, we get:


k = ([A]0 - [A]t)/t


This equation shows that the rate constant for a zero order reaction can be determined by measuring the concentration of the reactant at different times and then calculating the slope of the graph of concentration versus time.


Conclusion


The integrated rate equation for a zero order reaction can be used to determine the rate constant for the reaction. This equation is based on the fact that the rate of disappearance of the reactant is independent of its concentration. By measuring the concentration of the reactant at different times and then calculating the slope of the graph of concentration versus time, the rate constant can be determined. This equation is useful for understanding the kinetics of zero order reactions and for calculating the rate constant in practical applications.
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