   Chapter 14, Problem 64GQ

Chapter
Section
Textbook Problem

Nitryl fluoride can be made by treating nitrogen dioxide with fluorine:2 NO2(g) + F2(g) → 2 NO2F(g)Use the rate data in the table to do the following: (a) Write the rate equation for the reaction. (b) Indicate the order of reaction with respect to each component of the reaction. (c) Find the numerical value of the rate constant, k. (a)

Interpretation Introduction

Interpretation:

For the given chemical reaction considering the given set of data the rate should be written.

Concept introduction:

Collision theory: The rate for the reaction is predicted by using collisions theory. In order to form bond the atoms present in the reactants should collide each other for the bond formation.

In order to establish the plausibility of a mechanism, one must compare the rate law of the rate determining step to the experimentally determined rate law.

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 determining step: In a chemical reaction the rate determining step is the slowest step in which the rate of the reaction depends on the rate of that slowest step.

Activation energy: It is defined as the minimum energy required by the reacting species in order to undergo chemical reaction.

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.

Catalyst: The catalyst is a chemical substance that increases the rate of the reaction without participating in the reaction by reducing the activation energy of the reaction.

Explanation

From the given set of concentration and rate data the order for each reactant present in the reaction is determined as follows,

First, divide the experiment 1 given rate data with experiment 2 given data in order to determine the order for [NO2]

[NO2]1[NO2]2[F2]l[F2]2Rate1Rate20.0010.0020.0050.005=2.0×1044.0×104(0.5)m=(0.5)1OrderofNO2=1

Then, divide the third given rate data with the fourth given data in order to determine the order for [F2]

(b)

Interpretation Introduction

Interpretation:

For the given chemical reaction, order of the reaction with respect to each component should be indicate.

Concept introduction:

Collision theory: The rate for the reaction is predicted by using collisions theory.  In order to form bond the atoms present in the reactants should collide each other for the bond formation.

In order to establish the plausibility of a mechanism, one must compare the rate law of the rate determining step to the experimentally determined rate law.

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 determining step: In a chemical reaction the rate determining step is the slowest step in which the rate of the reaction depends on the rate of that slowest step.

Activation energy: It is defined as the minimum energy required by the reacting species in order to undergo chemical reaction.

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.

Catalyst: The catalyst is a chemical substance that increases the rate of the reaction without participating in the reaction by reducing the activation energy of the reaction.

(c)

Interpretation Introduction

Interpretation:

For the given chemical reaction, numerical value of the rate constant has to be find.

Concept introduction:

Collision theory: The rate for the reaction is predicted by using collisions theory.  In order to form bond the atoms present in the reactants should collide each other for the bond formation.

In order to establish the plausibility of a mechanism, one must compare the rate law of the rate determining step to the experimentally determined rate law.

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 determining step: In a chemical reaction the rate determining step is the slowest step in which the rate of the reaction depends on the rate of that slowest step.

Activation energy: It is defined as the minimum energy required by the reacting species in order to undergo chemical reaction.

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.

Catalyst: The catalyst is a chemical substance that increases the rate of the reaction without participating in the reaction by reducing the activation energy of the reaction.

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