B) Derive the equation for first order kinetics.

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Answered: Derive the equation for first order…

Physical Chemistry

2nd Edition

ISBN:9781133958437

Author:Ball, David W. (david Warren), BAER, Tomas

Publisher:Ball, David W. (david Warren), BAER, Tomas

Chapter20: Kinetics

Section: Chapter Questions

Problem 20.36E: The rate law for the reaction C6H5OH+HNO2[OHcatalyst]C6H5NO2+H2O is rate=k[C6H5OH][HNO2] At 35.0C,...

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The rate law for the reaction C6H5OH+HNO2[OHcatalyst]C6H5NO2+H2O is rate=k[C6H5OH][HNO2] At 35.0C, k=7.04103M1s1. If [C6H5OH]=0.0433M and [HNO2]=6.05M, what is the pseudo first-order rate law and what is the value of k?
To a very good approximation, the cooling of a hot body to room temperature (298K) follows first-order kinetics. In this case, however, the unit that is changing is kelvins, not molarity. This idea is known as Newtons law of cooling. If the rate constant for a body is 0.0344s1, how long would it take for a piece of matter to go from 1000K to 298K?
For the chemical reaction Mn2+(aq)+H2O2(aq)products The following data are collected: [Mn2+],M [H2O2],M Initial rate (M/s) 0.740 0.556 3.43102 0.219 0.556 3.01103 0.740 0.662 4.86102 Determine the order with respect to Mn2+ and H2O2, and construct the complete rate law, including the value of the rate law constant.
One can also define a third-life, t1/3, which is the amount of time necessary for one-third of an original amount of reactant to react. a For which order of kinetics is the third-life a constant? b Derive an expression for the t1/3 of a zeroth-order reaction. For how many third-lives will the reaction proceed before completion?
Digestive processes are first-order processes. The absorption of Fe2+ by the small intestine has a rate law constant of 3.09102s1. If the initial concentration of Fe2+ in food is 5.5M, how long before the concentration drops to 1.0M?
An aqueous reaction that uses the solvent H2O as a reactant has a given rate law of rate=k[H2O][A] Where A is the other reactant species. Explain why, in most circumstances, this reaction can be defined in terms of pseudo first-order kinetics. What are the units on the rate constant?
If a reaction has the same rate constant, what time does it take for a reactant to decrease by 5 that is, still near the beginning of the reaction process if the kinetics are zeroth-order, first-order, and second-order with respect to that reactant?
Many gas-phase reactions require some inert body, usually represented as M, to absorb or supply energy in a collision in order to proceed. In the spontaneous decomposition of ozone, O3, we can suggest the mechanism O3+MO3*+MO3RDSO2+OO+O32O2 for the overall reaction 2O33O2 In the mechanism, O3* refers to an ozone molecule in some energetically excited state that can react spontaneously to form O2 and O atoms. Determine the rate law of the proposed mechanism in terms of O3 and M, where the second step is the rate-determining step. Will adding an inert gas like Ar to a sample of ozone increase or decrease the rate of the reaction?
What is the difference between the integrated and differential forms of the rate law?
The decomposition of NH3: 2NH3N2+3H2 is a zeroth-order reaction that, at elevated temperatures, has a rate constant of 1.04101M/s. If the initial concentration of NH3 is 1.00M, how long will it take for the concentration to drop to a 0.75M; b 0.50M; c 0.00M?
The rate of the reaction HOCH2CH2NO2+2HNO2NO2CH2CH2NO2+2H2O is 0.045molHNO2/s. What are the rates of appearance and disappearance with respect to the other three substances?
A reaction generates chlorine gas (Cl2) as a product. The reactants are mixed and sealed in a 250.-mL container. After 30.0minutes, 2.97102mol of Cl2 has been generated. Calculate the average rate of the reaction.

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