   Chapter 15, Problem 64GQ

Chapter
Section
Textbook Problem

A reaction important in smog formation isO3(g) + NO(g) ⇄ O2(g) + NO2(g)    Kc = 6.0 × 1034 (a) If the initial concentrations are [O3] = 1.0 × 10−6 M, [NO] = 1.0 × 10−5 M, [NO2] = 2.5 × 10−4 M, and [O2] = 8.2 × 10−3 M, is the system at equilibrium? If not in which direction does the reaction proceed? If the temperature is increased, as on a very warm day, will the concentrations of the products increase or decrease? (Hint: You may have to calculate the enthalpy change for the reaction to find out if it is exothermic or endothermic.)

(a)

Interpretation Introduction

Interpretation:

The given system is in equilibrium or not has to be identified and if not the direction in which the reaction proceed has to be given.

Concept Introduction:

Reaction Quotient: For a general reaction in non-equilibrium system:

aA(g)+bB(g)cC(g)+dD(g)QC=[C]c×[D]d[A]a×[B]bQCmayormaynotbeequaltotheequilibriumconstant,KC

Significance of reaction quotient:

If Q=K-systemisinequilibrium.Q>K-systemshiftstoleftformingreactants.Q<K-systemshiftstorightformingproducts.

Explanation

Given:

O3(g)NO(g)+O2(g)+NO2(g)KC=6×1034[O3]=1×10-6M[NO]=1×10-5M[NO2]=2.5×10-4M[O2]=8.2×10-4M

To find out the direction in which the reaction proceeds reaction quotient must be find out.

For a general reaction,

aA(g)+bB(g)cC(g)+dD(g)QC=[C]c

(b)

Interpretation Introduction

Interpretation:

The concentration of product increase or decrease if the temperature increases has to be identified.

Concept Introduction:

Significance of reaction quotient:

If

Q=K-systemisinequilibrium.Q>K-systemshiftstoleftformingreactants.Q<K-systemshiftstorightformingproducts.

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