Elements Of Physical Chemistry
Elements Of Physical Chemistry
7th Edition
ISBN: 9780198796701
Author: ATKINS, P. W. (peter William), De Paula, Julio
Publisher: Oxford University Press
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Chapter 6, Problem 6.3P

(a)

Interpretation Introduction

Interpretation:

Rate law has to be determined for the given reaction.

Concept introduction:

Rate law: It is an equation that related to the dependence of the reaction rate on the concentration of each substrate (reactants).

For a reaction,

aA+bB+cCProducts

Where,

A and B are reactants

a and b are stoichiometric coefficients

Rate=-Δ[A]Δt=k[A]x[B]y[C]z

Where,

k is the rate constant

Rate constant: Rate constant is an expression used to relate the rate of a reaction to the concentration of reactants participating in the reaction.

(a)

Expert Solution
Check Mark

Explanation of Solution

Given information,

The reaction is 2 ICl(g) + H2(g)  I2(g) + 2 HCl(g)

Rate law of the equation is k=[ICl]x[H2]y

  Expt[ICl]0[H2]0v011.51.53.7×10723.01.57.4×10733.04.522×10744.52.7?

Calculate the value of x from experiment 2 to 1

  x=log(Rate2Rate1)log([ICl]2[ICl]1)=log(7.4×1073.7×107)log(3.01.5)=log(2)log(2)=1

Calculate the value of y from experiment 3 to 2

  y=log(Rate3Rate2)log([H2]3[H2]2)=log(22×1077.4×107)log(4.51.5)=log(3)log(3)=1

Therefore, the rate law of the given reaction is Rate=k[ICl][H2].

(b)

Interpretation Introduction

Interpretation:

Value of rate with its unit has to be determined for the given reaction.

Concept introduction:

Rate law: It is an equation that related to the dependence of the reaction rate on the concentration of each substrate (reactants).

For a reaction,

aA+bB+cCProducts

Where,

A and B are reactants

a and b are stoichiometric coefficients

  Rate=-Δ[A]Δt=k[A]x[B]y[C]z

Where,

k is the rate constant

Rate constant: Rate constant is an expression used to relate the rate of a reaction to the concentration of reactants participating in the reaction.

(b)

Expert Solution
Check Mark

Explanation of Solution

Given information,

The reaction is 2 ICl(g) + H2(g)  I2(g) + 2 HCl(g)

  Expt[ICl]0[H2]0v011.51.53.7×10723.01.57.4×10733.04.522×10744.52.7?

The rate law of the given reaction is Rate=k[ICl][H2].

Calculate the value of rate constant from experiment 1

  Rate=k[ICl][H2]Rateconstant, k=Rate[ICl][H2]=(7.4×107mol.dm3.s1)(3.0×103 mol.dm3)(1.5×103 mol.dm3)=0.164mol1dm3s1=0.164M1s1

Therefore, the value of rate constant is 0.164M1s1.

(c)

Interpretation Introduction

Interpretation:

Rate reaction for the experiment 4 has to be predicted.

Concept introduction:

Rate law: It is an equation that related to the dependence of the reaction rate on the concentration of each substrate (reactants).

For a reaction,

aA+bB+cCProducts

Where,

A and B are reactants

a and b are stoichiometric coefficients

  Rate=-Δ[A]Δt=k[A]x[B]y[C]z

Where,

k is the rate constant

Rate constant: Rate constant is an expression used to relate the rate of a reaction to the concentration of reactants participating in the reaction.

(c)

Expert Solution
Check Mark

Explanation of Solution

Given information,

The reaction is 2 ICl(g) + H2(g)  I2(g) + 2 HCl(g)

  Expt[ICl]0[H2]0v011.51.53.7×10723.01.57.4×10733.04.522×10744.52.7?

The rate law of the given reaction is Rate=k[ICl][H2].

Value of rate constant is 0.164M1s1.

Calculate the value of rate constant from experiment 1

  Rate=k[ICl][H2]= (0.164M1s1)(4.7×103 mol.dm3)(2.7×103 mol.dm3)= 2.1×106 mol.dm3.s1

Rate reaction for the experiment 4 is 2.1×106 mol.dm3.s1

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Chapter 6 Solutions

Elements Of Physical Chemistry

Ch. 6 - Prob. 6C.4STCh. 6 - Prob. 6D.1STCh. 6 - Prob. 6D.2STCh. 6 - Prob. 6D.3STCh. 6 - Prob. 6E.1STCh. 6 - Prob. 6E.2STCh. 6 - Prob. 6F.1STCh. 6 - Prob. 6F.2STCh. 6 - Prob. 6G.1STCh. 6 - Prob. 6G.2STCh. 6 - Prob. 6G.3STCh. 6 - Prob. 6H.1STCh. 6 - Prob. 6I.1STCh. 6 - Prob. 6I.2STCh. 6 - Prob. 6A.1ECh. 6 - Prob. 6A.2ECh. 6 - Prob. 6A.3ECh. 6 - Prob. 6B.1ECh. 6 - Prob. 6B.2ECh. 6 - Prob. 6B.3ECh. 6 - Prob. 6B.4ECh. 6 - Prob. 6B.5ECh. 6 - Prob. 6C.1ECh. 6 - Prob. 6C.2ECh. 6 - Prob. 6C.3ECh. 6 - Prob. 6C.4ECh. 6 - Prob. 6C.5ECh. 6 - Prob. 6C.6ECh. 6 - Prob. 6C.7ECh. 6 - Prob. 6C.8ECh. 6 - Prob. 6C.9ECh. 6 - Prob. 6C.10ECh. 6 - Prob. 6C.11ECh. 6 - Prob. 6C.12ECh. 6 - Prob. 6D.1ECh. 6 - Prob. 6D.2ECh. 6 - Prob. 6D.3ECh. 6 - Prob. 6D.4ECh. 6 - Prob. 6D.5ECh. 6 - Prob. 6D.6ECh. 6 - Prob. 6D.7ECh. 6 - Prob. 6D.8ECh. 6 - Prob. 6D.9ECh. 6 - Prob. 6D.10ECh. 6 - Prob. 6D.11ECh. 6 - Prob. 6E.1ECh. 6 - Prob. 6E.2ECh. 6 - Prob. 6E.3ECh. 6 - Prob. 6F.1ECh. 6 - Prob. 6F.2ECh. 6 - Prob. 6F.3ECh. 6 - Prob. 6G.1ECh. 6 - Prob. 6G.2ECh. 6 - Prob. 6G.3ECh. 6 - Prob. 6G.5ECh. 6 - Prob. 6H.1ECh. 6 - Prob. 6H.2ECh. 6 - Prob. 6H.3ECh. 6 - Prob. 6H.4ECh. 6 - Prob. 6I.1ECh. 6 - Prob. 6I.2ECh. 6 - Prob. 6I.3ECh. 6 - Prob. 6.1DQCh. 6 - Prob. 6.2DQCh. 6 - Prob. 6.3DQCh. 6 - Prob. 6.4DQCh. 6 - Prob. 6.5DQCh. 6 - Prob. 6.6DQCh. 6 - Prob. 6.7DQCh. 6 - Prob. 6.8DQCh. 6 - Prob. 6.9DQCh. 6 - Prob. 6.10DQCh. 6 - Prob. 6.11DQCh. 6 - Prob. 6.12DQCh. 6 - Prob. 6.13DQCh. 6 - Prob. 6.14DQCh. 6 - Prob. 6.1PCh. 6 - Prob. 6.2PCh. 6 - Prob. 6.3PCh. 6 - Prob. 6.4PCh. 6 - Prob. 6.5PCh. 6 - Prob. 6.6PCh. 6 - Prob. 6.9PCh. 6 - Prob. 6.10PCh. 6 - Prob. 6.11PCh. 6 - Prob. 6.12PCh. 6 - Prob. 6.13PCh. 6 - Prob. 6.15PCh. 6 - Prob. 6.16PCh. 6 - Prob. 6.17PCh. 6 - Prob. 6.19PCh. 6 - Prob. 6.20PCh. 6 - Prob. 6.21PCh. 6 - Prob. 6.22PCh. 6 - Prob. 6.24PCh. 6 - Prob. 6.25PCh. 6 - Prob. 6.26PCh. 6 - Prob. 6.27PCh. 6 - Prob. 6.28PCh. 6 - Prob. 6.29PCh. 6 - Prob. 6.30P
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