BuyFindarrow_forward

Chemistry

9th Edition
Steven S. Zumdahl
ISBN: 9781133611097

Solutions

Chapter
Section
BuyFindarrow_forward

Chemistry

9th Edition
Steven S. Zumdahl
ISBN: 9781133611097
Textbook Problem

Hydrogen peroxide and the iodide ion react in acidic solution as follows:

H 2 O 2 ( a q ) + 3 I ( a q ) + 2 H + ( a q ) I 3 ( a q ) + 2H 2 O ( l )

The kinetics of this reaction were studied by following the decay of the concentration of H2O2 and constructing plots of ln[H2O2] versus time. All the plots were linear and all solutions had [H2O2]0 = 8.0 × 10−4 mol/L. The slopes of these straight lines depended on the initial concentrations of I and H+. The results follow:

[I]0 (mol/L) [H+]0 (mol/L) Slope (min−1)
0.1000 0.0400 − 0.120
0.3000 0.0400 − 0.360
0.4000 0.0400 − 0.480
0.0750 0.0200 − 0.0760
0.0750 0.0800 − 0.118
0.0750 0.1600 − 0.174

The rate law for this reaction has the form

Rate = Δ [ H 2 O 2 ] Δ t = ( k 1 + k 2 [ H + ] ) [ I ] m [ H 2 O 2 ] n

a. Specify the order of this reaction with respect to [H2O2] and [I].

b. Calculate the values of the rate constants, k1 and k2.

c. What reason could there be for the two-term dependence of the rate on [H+]?

(a)

Interpretation Introduction

Interpretation: The order of the reaction is to be specified with respect to the reactants. The values of the rate constants are to be calculated. The reason corresponds to the fact that two-term dependence of the rate on the concentration of H+ ion is to be stated.

Concept introduction: The order of a reaction is the number or the index raise to the concentration term with respect to each component

The rate law or rate equation is a mathematical representation that relates the rate of the reaction with the concentration or pressure.

Rate constant is a proportionality coefficient that relates the rate of chemical reaction at a specific temperature to the concentration of the reactant or the product.

To determine: The order of the reaction with respect to [H2O2] and [I].

Explanation

Explanation

The order of the reaction with respect to [H2O2] and [I] is zero and first order respectively.

Given

The given reaction is stated as,

H2O2(aq)+3I(aq)+2H+(aq)I3(aq)+2H2O(l)

The plot of ln[H2O2] Vs time is linear.

The concentration of [H2O2]0=8.00×104M

The rate law for the reaction,

Rate=Δ[H2O2]Δt=(k1+k2[H+])[I]m[H2O2]n

The concentration of [H2O2] is very small which is given above. The concentration of [H+] and [I] is significant. Therefore, the reduced form of rate law is represented as,

d[H2O2]dt=kobserved[H2O2]n

Where,

  • kobserved=(k1+k2[H+])[I]m

The concentration of H2O2 is very small indicates that the reaction is independent of the reactant H2O2

Therefore reaction is zero order with respect to the reactant H2O2

(b)

Interpretation Introduction

Interpretation: The order of the reaction is to be specified with respect to the reactants. The values of the rate constants are to be calculated. The reason corresponds to the fact that two-term dependence of the rate on the concentration of H+ ion is to be stated.

Concept introduction: The order of a reaction is the number or the index raise to the concentration term with respect to each component

The rate law or rate equation is a mathematical representation that relates the rate of the reaction with the concentration or pressure.

Rate constant is a proportionality coefficient that relates the rate of chemical reaction at a specific temperature to the concentration of the reactant or the product.

To determine: The value of the rate constant k1 and k2 for the given reaction.

(c)

Interpretation Introduction

Interpretation: The order of the reaction is to be specified with respect to the reactants. The values of the rate constants are to be calculated. The reason corresponds to the fact that two-term dependence of the rate on the concentration of H+ ion is to be stated.

Concept introduction: The order of a reaction is the number or the index raise to the concentration term with respect to each component

The rate law or rate equation is a mathematical representation that relates the rate of the reaction with the concentration or pressure.

Rate constant is a proportionality coefficient that relates the rate of chemical reaction at a specific temperature to the concentration of the reactant or the product.

To determine: The reason for the two-term dependence of the rate on [H+]

Still sussing out bartleby?

Check out a sample textbook solution.

See a sample solution

The Solution to Your Study Problems

Bartleby provides explanations to thousands of textbook problems written by our experts, many with advanced degrees!

Get Started

Chapter 12 Solutions

Show all chapter solutions add

Additional Science Solutions

Find more solutions based on key concepts

Show solutions add

A diet book that addresses eicosanoids and adipokines can be relied upon to reflect current scholarship in nutr...

Nutrition: Concepts and Controversies - Standalone book (MindTap Course List)

How many autosomes are present in a body cell of a human being? In a gamete?

Human Heredity: Principles and Issues (MindTap Course List)

Identify all chiral carbon atoms in citrate and isocitrate.

Chemistry for Today: General, Organic, and Biochemistry

A student claims that he has found a vector A such that (2i3j+4k)A=(4i+3j+k). (a) Do you believe this claim? (b...

Physics for Scientists and Engineers, Technology Update (No access codes included)