Chapter 15, Problem 64GQ

### 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

# 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:

O3â€‰â€‰(g)â€‰â€‰â€‰â€‰â€‰â‡„â€‰â€‰NOâ€‰(g)â€‰â€‰+â€‰â€‰O2â€‰(g)â€‰â€‰+â€‰NO2â€‰â€‰â€‰(g)â€‰â€‰â€‰â€‰â€‰â€‰â€‰â€‰â€‰â€‰â€‰â€‰â€‰â€‰â€‰â€‰â€‰â€‰KCâ€‰â€‰â€‰â€‰=â€‰â€‰6Ã—1034[O3]â€‰â€‰â€‰â€‰=â€‰â€‰1Ã—10-6â€‰M[NO]â€‰â€‰=â€‰1Ã—10-5â€‰M[NO2]â€‰=â€‰2.5Ã—10-4â€‰M[O2]â€‰â€‰â€‰â€‰â€‰=â€‰â€‰8.2Ã—10-4â€‰M

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

For a general reaction,

aAâ€‰(g)â€‰+â€‰bB(g)â‡„â€‰cCâ€‰(g)â€‰+â€‰dDâ€‰(g)â€‰â€‰QCâ€‰â€‰â€‰â€‰â€‰â€‰=â€‰â€‰[C]câ€‰â€‰

(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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