Chapter 14, Problem 14PS

### Chemistry & Chemical Reactivity

10th Edition
John C. Kotz + 3 others
ISBN: 9781337399074

Chapter
Section

### Chemistry & Chemical Reactivity

10th Edition
John C. Kotz + 3 others
ISBN: 9781337399074
Textbook Problem

# Data for the following reaction are given in the table below.CO(g) + NO2(g) → CO2(g) + NO(g) (a) What is the rate law for this reaction? (b) What is the rate constant for the reaction? (c) What is the initial rate of the reaction in experiment 4?

(a)

Interpretation Introduction

Interpretation: The rate law for this reaction has to be given.

Concept introduction:

Rate law or rate equation: The relationship between the reactant concentrations and reaction rate is expressed by an equation.

aA + bBxXRate of reaction = k [A]m[B]n

Order of a reaction: The order of a reaction with respect to a particular reactant is the exponent of its concentration term in the rate law expression, and the overall reaction order is the sum of the exponents on all concentration terms.

Rate constant, k: It is a proportionality constant that relates rate and concentration at a given temperature.

Explanation

The rate law is given as,

â€‚Â ReactionÂ Rateâ€‰Â =Â kÂ [CO]m[NO2]n,whereÂ m,Â andÂ nÂ areÂ ordersÂ ofÂ theÂ reactants.Givenâ€‰reaction:Â Â COâ€‰(g)Â +Â NO2(g)â€‰â†’CO2(g)+â€‰NO(g)Findâ€‰orderâ€‰ofâ€‰theâ€‰reaction:_Comparingâ€‰firstâ€‰twoâ€‰experimentsâ€‰1â€‰andâ€‰3,rateâ€‰1Â =â€‰kÂ [CO]m[NO2]n,Â rateÂ 1Â =Â 3.4Ã—10-8Â mol/L.hrateâ€‰3Â =Â kÂ [CO]m[NO2]n,Â rateÂ 3Â =Â 6.8Ã—10-8Â mol/L.hrateÂ 3rateâ€‰1Â =Â kÂ [CO]m[NO2]nkÂ [CO]m[NO2]n6.8Ã—10-8Â mol/L.h3.4Ã—10-8Â mol/L.h=(1.0Ã—10-3)m(0.36Ã—10-4)n(5.0Ã—10-4)m(0.36Ã—10-4)nâ€‰â€‰Â 2Â =Â (2)mmÂ =Â 1Comparingâ€‰lastâ€‰twoâ€‰experimentsâ€‰1Â andâ€‰2,rateâ€‰1Â =â€‰kÂ [CO]m[NO2]n,rateÂ 1Â =Â 3

(b)

Interpretation Introduction

Interpretation:

The rate constant for the reaction has to be given.

Concept introduction:

Rate law or rate equation: The relationship between the reactant concentrations and reaction rate is expressed by an equation.

aA + bBxXRate of reaction = k [A]m[B]n

Order of a reaction: The order of a reaction with respect to a particular reactant is the exponent of its concentration term in the rate law expression, and the overall reaction order is the sum of the exponents on all concentration terms.

Rate constant, k: It is a proportionality constant that relates rate and concentration at a given temperature.

(c)

Interpretation Introduction

Interpretation:

The initial rate of the experiment 4 has to be given.

Concept introduction:

Rate law or rate equation: The relationship between the reactant concentrations and reaction rate is expressed by an equation.

aA + bBxXRate of reaction = k [A]m[B]n

Order of a reaction: The order of a reaction with respect to a particular reactant is the exponent of its concentration term in the rate law expression, and the overall reaction order is the sum of the exponents on all concentration terms.

Rate constant, k: It is a proportionality constant that relates rate and concentration at a given temperature.

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