   Chapter 20.7, Problem 1.1ACP

Chapter
Section
Textbook Problem

Consider the reaction of Cl2 in water to form aqueous HClO and HCl. a. This reaction is often referred to as a “disproportionation” reaction because an element increases and decreases in oxidation number in the reaction. How does that apply to this reaction? b. Calculate the value of E and the equilibrium constant for the reaction of Cl2 in water. [The required reduction half-reaction potentials are in Appendix M (Table 21).] c. How is E for the reaction affected by changing pH?

(a)

Interpretation Introduction

Interpretation:

The given reaction is whether a disproportionation should be explained

Concept introduction:

• In a disproportionation reaction an element’s oxidation number will vary in accordance with the chemical conditions.
• In cathode, reduction reaction will take place and in an anode oxidation reaction will happen.
Explanation

The balanced chemical reaction equation for the given reaction is,

Cl2(g)+2H2O(l)HClO(aq)+H3O(aq)++Claq

Oxidation number for each element involved in the reaction can be written as follows,

Cl2(g)0<

(b)

Interpretation Introduction

Interpretation:

The value of equilibrium constant for the reaction should be determined

Concept introduction:

• If the oxidation number of an element increases then the element is said to be oxidized and the oxidation number value of decreases for an element which is reduced.

Ecell0=Ecathode0Eanode0

• In cathode, reduction reaction will take place and in an anode oxidation reaction will happen.
• The equation to determine the equilibrium constant K by using the value of E0 is,

lnK=nE00.0257     n is the number of electrons involved in the reaction

(c)

Interpretation Introduction

Interpretation:

It should be checked whether the given reaction is a disproportionation reaction (a), calculate the value of E0andequilibriumconstantK for the reaction (b) and it should be explained that change in pH will affect the value of E or not.

Concept introduction:

• In cathode, reduction reaction will take place and in an anode oxidation reaction will happen.
• pH: The concentration of hydrogen ion is measured using pH scale.  The acidity of aqueous solution is expressed by pH scale.
• Changing value of pH will greatly affect the equilibrium of a reaction.

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