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Chemistry & Chemical Reactivity

9th Edition
John C. Kotz + 3 others
Publisher: Cengage Learning
ISBN: 9781133949640

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Section
BuyFindarrow_forward

Chemistry & Chemical Reactivity

9th Edition
John C. Kotz + 3 others
Publisher: Cengage Learning
ISBN: 9781133949640
Chapter 14, Problem 69GQ
Textbook Problem
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Data for the reaction

[Mn(CO)5(CH3CN)]+ + NC5H5 → (Mn(CO)5(NC5H5)]+ + CH3CN

are given in the table. Calculate Ea from a plot of In k versus 1/T.

Chapter 14, Problem 69GQ, Data for the reaction [Mn(CO)5(CH3CN)]+ + NC5H5  (Mn(CO)5(NC5H5)]+ + CH3CN are given in the table.

Interpretation Introduction

Interpretation:

The value for Ea should be determined using the plot obtained by the given set of data.

Concept introduction:

Rate law: It is generally the rate equation that consists of the reaction rate with the concentration or the pressures of the reactants and constant parameters.

Rate constant: The rate constant for a chemical reaction is the proportionality term in the chemical reaction rate law which gives the relationship between the rate and the concentration of the reactant present in the chemical reaction.

Rate order: The order of each reactant in a reaction is represented by the exponential term of the respective reactant present in the rate law and the overall order of the reaction is the sum of all the exponents of all reactants present in the chemical reaction.  The order of the reaction is directly proportional to the concentration of the reactants.

Arrhenius equation:

  • Arrhenius equation is a formula that represents the temperature dependence of reaction rates
  • The Arrhenius equation has to be represented as follows

  k=AeEa/RTlnk=lnAeEa/RTlnk=(EaR)(1T)+lnA

  • Ea represents the activation energy and it’s unit is kJ/mol
  • R represents the universal gas constant and it has the value of 8.314 J/K.mol
  • T represents the absolute temperature
  • A represents the frequency factor or collision frequency
  • e represents the base of natural logarithm
  •  Arrhenius equation equation was proposed by Svante Arrhenius in 1889.

Explanation of Solution

For the given reaction lnk and 1/T are tabulated as follows by using the given set of data.

The corresponding graph is as follows,

Findthe slope for any two values present in the graph:slope=-1.852-(-2.503)0.003145-0

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Chapter 14 Solutions

Chemistry & Chemical Reactivity
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Ch. 14.4 - Using the rate constant for HI decomposition given...Ch. 14.4 - The catalyzed decomposition of hydrogen peroxide...Ch. 14.4 - Americium is used in smoke detectors and in...Ch. 14.4 - The decomposition of N2O5 is a first-order...Ch. 14.4 - Which of the following will confirm that the...Ch. 14.4 - 3. The equation for the decomposition of NO2(g) at...Ch. 14.5 - Rate constants were determined for the...Ch. 14.5 - The colorless gas N2O4, decomposes to the brown...Ch. 14.5 - Which of the following graphs will produce a...Ch. 14.5 - 2. 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